128 Publications
2025 | Preprint | LibreCat-ID: 58544 | 
D. Kopylov et al., “Multiphoton, multimode state classification for nonlinear optical circuits .” .
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| arXiv
2024 | Journal Article | LibreCat-ID: 53101 |
S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R. T. S. M. de Almagro, and F. O. Szemenyei, “A new Lagrangian approach to control affine systems with a quadratic Lagrange term,” Journal of Computational Dynamics, vol. 0, no. 0, pp. 0–0, 2024, doi: 10.3934/jcd.2024017.
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2024 | Journal Article | LibreCat-ID: 46469 |
C. Offen and S. Ober-Blöbaum, “Learning of discrete models of variational PDEs from data,” Chaos, vol. 34, no. 1, Art. no. 013104, 2024, doi: 10.1063/5.0172287.
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| DOI
| arXiv
2023 | Conference Paper | LibreCat-ID: 34135 |
Y. Lishkova et al., “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery,” in IFAC-PapersOnLine, Yokohama, Japan, 2023, vol. 56, no. 2, pp. 3203–3210, doi: 10.1016/j.ifacol.2023.10.1457.
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| arXiv
2023 | Conference Paper | LibreCat-ID: 42163 |
C. Offen and S. Ober-Blöbaum, “Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves,” in Geometric Science of Information, Saint-Malo, Palais du Grand Large, France, 2023, vol. 14071, pp. 569–579, doi: 10.1007/978-3-031-38271-0_57.
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| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 29240 |
S. Ober-Blöbaum and C. Offen, “Variational Learning of Euler–Lagrange Dynamics from Data,” Journal of Computational and Applied Mathematics, vol. 421, p. 114780, 2023, doi: 10.1016/j.cam.2022.114780.
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| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 37654 |
E. Dierkes, C. Offen, S. Ober-Blöbaum, and K. Flaßkamp, “Hamiltonian Neural Networks with Automatic Symmetry Detection,” Chaos, vol. 33, no. 6, Art. no. 063115, 2023, doi: 10.1063/5.0142969.
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| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 21600
M. Dellnitz et al., “Efficient time stepping for numerical integration using reinforcement learning,” SIAM Journal on Scientific Computing, vol. 45, no. 2, pp. A579–A595, 2023, doi: 10.1137/21M1412682.
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| arXiv
2023 | Report | LibreCat-ID: 47147
Y. Lishkova, S. Ober-Blöbaum, and S. Leyendecker, Multirate Discrete Mechanics and Optimal Control for a Flexible Satelite Model . Invited Mathematical Magazine Article, 2023.
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2023 | Conference Paper | LibreCat-ID: 47148
Y. Lishkova, M. Bando, and S. Ober-Blöbaum, “Variational approach for modelling and optimal control of electrodynamic tether motion,” 2023.
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2022 | Journal Article | LibreCat-ID: 30490
J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations,” AIMS, vol. 14(1), pp. 57–89, 2022.
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2022 | Conference Paper | LibreCat-ID: 30733
N. Vertovec, S. Ober-Blöbaum, and K. Margellos, “Verification of safety critical control policies using kernel methods,” London, 2022, pp. 1870–1875.
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2022 | Journal Article | LibreCat-ID: 44624
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, and K. Worthmann, “Manifold turnpikes, trims, and symmetries,” Mathematics of Control, Signals, and Systems, vol. 34, pp. 759–788, 2022.
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2022 | Journal Article | LibreCat-ID: 23382 |
C. Offen and S. Ober-Blöbaum, “Symplectic integration of learned Hamiltonian systems,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32(1), 2022, doi: 10.1063/5.0065913.
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| arXiv
2021 | Conference Paper | LibreCat-ID: 29421
S. Ober-Blöbaum and M. Vermeeren, “Superconvergence of galerkin variational integrators,” in 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, 2021, vol. 54(19), pp. 327–333.
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2021 | Journal Article | LibreCat-ID: 16294 |
S. Ober-Blöbaum and S. Peitz, “Explicit multiobjective model predictive control for nonlinear systems with symmetries,” International Journal of Robust and Nonlinear Control, vol. 31(2), pp. 380–403, 2021, doi: 10.1002/rnc.5281.
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2021 | Conference Paper | LibreCat-ID: 22894 |
C. Offen and S. Ober-Blöbaum, “Bifurcation preserving discretisations of optimal control problems,” vol. 54(19). pp. 334–339, 2021, doi: https://doi.org/10.1016/j.ifacol.2021.11.099.
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| arXiv
2021 | Conference Paper | LibreCat-ID: 21572
S. Ridderbusch, C. Offen, S. Ober-Blöbaum, and P. Goulart, “Learning ODE Models with Qualitative Structure Using Gaussian Processes ,” in 2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, USA, 2021, p. 2896, doi: 10.1109/CDC45484.2021.9683426.
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| DOI
| arXiv
2021 | Conference Paper | LibreCat-ID: 29868
F. Jiménez and S. Ober-Blöbaum, “Fractional Damping Through Restricted Calculus of Variations,” in Nichtlineare Sci 31, 2021, vol. 46.
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2021 | Conference Paper | LibreCat-ID: 47146
Y. Lishkova, M. Cannon, and S. Ober-Blöbaum, “A multirate variational approach to Nonlinear MPC,” 2021.
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2020 | Journal Article | LibreCat-ID: 29399
D. J. N. Limebeer, S. Ober-Blöbaum, and F. H. Farshi, “Variational integrators for dissipative systems,” IEEE Transactions on Automatic Control, vol. 65(4), pp. 1381–1396, 2020.
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2020 | Journal Article | LibreCat-ID: 16297
C. I. Hernández Castellanos, S. Ober-Blöbaum, and S. Peitz, “Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty,” International Journal of Robust and Nonlinear Control, vol. 30(17), pp. 7593–7618, 2020, doi: 10.1002/rnc.5197.
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2020 | Journal Article | LibreCat-ID: 29398
C. I. O. Hernández Castellanos, G. Schütze, J.-Q. Sun, S. Ober-Blöbaum, and G. Morales-Luna, “Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping,” Mathematics, vol. 8(11):1959, 2020.
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2020 | Conference Paper | LibreCat-ID: 29422
Y. Lishkova, S. Ober-Blöbaum, M. Cannon, and S. Leyendecker, “A multirate variational approach to simulation and optimal control for flexible spacecraft,” 2020.
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2020 | Conference Paper | LibreCat-ID: 29423
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann, “A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems,” 2020.
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2020 | Conference Paper | LibreCat-ID: 29424
J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Modelling of the convection-diffusion equation through fractional restricted calculus of variations,” 2020.
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2020 | Book Chapter | LibreCat-ID: 29413
K. Flaßkamp, S. Ober-Blöbaum, and S. Peitz, “Symmetry in optimal control: A multiobjective model predictive control approach,” in Advances in Dynamics, Optimization and Computation, O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham: Springer International Publishing, 2020, pp. 209–237.
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2019 | Journal Article | LibreCat-ID: 19993
K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann, “Symmetry and motion primitives in model predictive control,” MCSS, vol. 31, pp. 455–485, 2019.
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2019 | Conference Paper | LibreCat-ID: 29867
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann, “Towards velocity turnpikes in optimal control of mechanical systems,” 2019, vol. 52(16), pp. 490–495.
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2018 | Journal Article | LibreCat-ID: 8753
S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling,” Acta Applicandae Mathematicae, vol. 161, no. 1, pp. 171–199, 2018, doi: 10.1007/s10440-018-0209-7.
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2018 | Journal Article | LibreCat-ID: 20112
J. M. Reniers, G. Mulder, S. Ober-Blöbaum, and D. A. Howe, “Improving optimal control of grid-connected lithium-ion batteries through more accurate battery and degradation modelling,” Journal of Power Sources, vol. 379, pp. 91–102, 2018, doi: https://doi.org/10.1016/j.jpowsour.2018.01.004.
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2018 | Conference Paper | LibreCat-ID: 29425
F. Jiménez and S. Ober-Blöbaum, “Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives,” 2018.
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2018 | Conference Paper | LibreCat-ID: 29427
F. Jiménez and S. Ober-Blöbaum, “A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings,” in 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, 2018, vol. 51(3), pp. 50–55.
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2017 | Journal Article | LibreCat-ID: 20061
J. C. Mergel, R. A. Sauer, and S. Ober-Blöbaum, “C1-continuous space-time discretization based on Hamilton’s law of varying action,” ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol. 97(4), pp. 433–457, 2017, doi: 10.1002/zamm.201600062.
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2017 | Journal Article | LibreCat-ID: 20091
T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints,” Advances in Computational Mathematics, vol. 43(5), pp. 1163–1195, 2017, doi: 10.1007/s10444-017-9520-5.
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2017 | Journal Article | LibreCat-ID: 20059
S. Ober-Blöbaum, “Galerkin variational integrators and modified symplectic Runge-Kutta methods,” IMA Journal of Numerical Analysis, vol. 37(1), pp. 375–406, 2017, doi: 10.1093/imanum/drv062.
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2017 | Journal Article | LibreCat-ID: 20093
B. Stellato, S. Ober-Blöbaum, and P. J. Goulart, “Second-order switching time optimization for switched dynamical systems,” IEEE Transactions on Automatic Control, vol. 62(10), pp. 5407–5414, 2017.
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2017 | Journal Article | LibreCat-ID: 8756
S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, and M. Dellnitz, “A multiobjective MPC approach for autonomously driven electric vehicles,” Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC), vol. 50, no. 1, pp. 8674–8679, 2017, doi: 10.1016/j.ifacol.2017.08.1526.
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2017 | Conference Paper | LibreCat-ID: 29430
T. Gail, S. Ober-Blöbaum, and S. Leyendecker, “Variational multirate integration in discrete mechanics and optimal control,” 2017.
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2017 | Journal Article | LibreCat-ID: 20106
T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators of mixed order for constrained and unconstrained systems acting on multiple time scales,” PAMM, vol. 17, no. 1, 2017, doi: 10.1002/pamm.201710057.
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2016 | Journal Article | LibreCat-ID: 20060
M. Ringkamp, S. Ober-Blöbaum, and S. Leyendecker, “On the time transformation of mixed integer optimal control problems using a consistent fixed integer control function,” Mathematical Programming, pp. 1–31, 2016, doi: 10.1007/s10107-016-1023-5.
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2016 | Conference Paper | LibreCat-ID: 8758
J. Eckstein et al., “A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles,” in Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering, 2016, vol. 26, pp. 465–472, doi: 10.1016/j.protcy.2016.08.059.
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2016 | Conference Paper | LibreCat-ID: 29435
T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials,” in ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, 2016, pp. 1818–1831.
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2016 | Conference Paper | LibreCat-ID: 29432
T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods,” 2016.
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2016 | Conference Paper | LibreCat-ID: 29433
S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Reduced order model based multiobjective optimal control of fluids,” 2016.
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2016 | Conference Paper | LibreCat-ID: 29436
B. Stellato, S. Ober-Blöbaum, and P. J. Goulart, “Optimal control of switching times in switched linear systems,” in 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, pp. 7228–7233.
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2016 | Journal Article | LibreCat-ID: 20101
T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators of higher order for constrained dynamical systems,” PAMM, vol. 16(1), pp. 775–776, 2016, doi: 10.1002/pamm.201610376.
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2016 | Journal Article | LibreCat-ID: 20105
J. C. Mergel, R. A. Sauer, and S. Ober-Blöbaum, “C1-continuous time integration based on cubic Hermite interpolation,” PAMM, vol. 16(1), pp. 753–754, 2016, doi: 10.1002/pamm.201610365.
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2016 | Journal Article | LibreCat-ID: 20103
M. Ringkamp, S. Ober-Blöbaum, and S. Leyendecker, “Time transformed mixed integer optimal control problems with impacts,” PAMM, vol. 16(1), pp. 789–790, 2016, doi: 10.1002/pamm.201610383.
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2016 | Journal Article | LibreCat-ID: 20104
S. Ober-Blöbaum, “Higher order variational integrators in optimal control theory,” PAMM, vol. 16(1), pp. 821–822, 2016, doi: 10.1002/pamm.201610399.
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2016 | Conference Paper | LibreCat-ID: 20097
S. Ober-Blöbaum, “On higher order variational integrators and their relation to Runge-Kutta methods,” 2016.
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2015 | Journal Article | LibreCat-ID: 29402
K. Flaßkamp, S. Hage-Packhäuser, and S. Ober-Blöbaum, “Symmetry exploiting control of hybrid mechanical systems,” Journal of Computational Dynamics, vol. 2(1), pp. 25–50, 2015.
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2015 | Journal Article | LibreCat-ID: 20057
F. Demoures, F. Gay-Balmaz, S. Leyendecker, S. Ober-Blöbaum, T. S. Ratiu, and Y. Weinand, “Discrete variational Lie group formulation of geometrically exact beam dynamics,” Numerische Mathematik, vol. 130(1), pp. 73–123, 2015, doi: 10.1007/s00211-014-0659-4.
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2015 | Journal Article | LibreCat-ID: 29403
C. M. Campos, S. Ober-Blöbaum, and E. Trélat, “High order variational integrators in the optimal control of mechanical systems,” Discrete and Continuous Dynamical Systems, vol. 35(9), pp. 4193–4223, 2015.
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2015 | Journal Article | LibreCat-ID: 20107
M. Ringkamp, S. Ober-Blöbaum, and S. Leyendecker, “Relaxing mixed integer optimal control problems using a time transformation,” Proceedings of Applied Mathematics and Mechanics, vol. 15(1), pp. 27–30, 2015, doi: 10.1002/pamm.201510008.
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2015 | Journal Article | LibreCat-ID: 20111
S. Ober-Blöbaum and K. Padberg-Gehle, “Multiobjective optimal control of fluid mixing,” PAMM, vol. 15(1), pp. 639–640, 2015, doi: 10.1002/pamm.201510309.
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2014 | Book Chapter | LibreCat-ID: 25173
M. Dellnitz et al., “Self-optimizing Mechatronic Systems,” in Dependability of Self-optimizing Mechatronic Systems, Kapitel: 1.1, Heidelberg, Germany: Springer-Verlag, 2014, pp. 3–12.
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2014 | Book Chapter | LibreCat-ID: 25177
K. Flaßkamp et al., “Development of the RailCab Vehicle,” in Dependability of Self-Optimizing Mechatronic Systems, Heidelberg, Germany: Springer-Verlag , 2014, pp. 184–190.
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2014 | Book Chapter | LibreCat-ID: 23109
K. Flaßkamp et al., “Verification for Interacting Mechatronic Systems with Motion Profiles,” in Dependability of Self-optimizing Mechatronic Systems, Springer-Verlag, Heidelberg, Germany, 2014, pp. 119–128.
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2014 | Journal Article | LibreCat-ID: 23110
K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, and A. Trächtler, “Control strategies on stable manifolds for energyefficient swing-ups of double pendula,” International Journal of Control, vol. DOI: 10.1080/00207179.2014.893450, pp. 1–20, 2014.
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2014 | Conference Paper | LibreCat-ID: 29440
S. Ober-Blöbaum and H. Lindhorst, “Variational formulation and structure-preserving discretization of nonlinear electric circuits,” Netherlands, 2014.
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2014 | Conference Paper | LibreCat-ID: 29438
T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “On the role of quadrature rules and system dimensions in variational multirate integrators,” 2014.
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2014 | Journal Article | LibreCat-ID: 20072
K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, and A. Trächtler, “Control strategies on stable manifolds for energy-efficient swing-ups of double pendula,” International Journal of Control, vol. 87(9), pp. 1886–1905, 2014, doi: 10.1080/00207179.2014.893450.
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2014 | Journal Article | LibreCat-ID: 29404
S. Ober-Blöbaum and N. Saake, “Construction and analysis of higher order Galerkin variational integrators,” Advances in Computational Mathematics, pp. 1–32, 2014.
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2014 | Book Chapter | LibreCat-ID: 29417
W. Dangelmeier et al., “Dependability of Self-optimizing Mechatronic Systems,” in Lecture Notes in Mechanical Engineering, Heidelberg New York Dordrecht London: Springer, 2014.
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2014 | Book Chapter | LibreCat-ID: 29416
M. Dellnitz et al., “The paradigm of self-optimization,” in Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, editors, Design Methodology for Intelligent Technical Systems, Berlin Heidelberg: Springer, 2014, pp. 1–25.
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2014 | Book Chapter | LibreCat-ID: 29414
T. Leitz, S. Ober-Blöbaum, and S. Leyendecker, “Variational Lie group formulation of geometrically exact beam dynamics: Synchronous and asynchronous integration,” in Zdravko Terze, Multibody Dynamics, vol. 35, Springer International Publishing, 2014, pp. 175–203.
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2014 | Journal Article | LibreCat-ID: 20071
M. Dellnitz et al., “Development of an intelligent cruise control using optimal control methods ,” SysInt 2014 Proceedings, vol. 15, no. 0, pp. 285–294, 2014, doi: http://dx.doi.org/10.1016/j.protcy.2014.09.082.
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2014 | Conference Paper | LibreCat-ID: 20087
T. Leitz, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators for dynamical systems with rotational degrees of freedom,” 2014.
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2014 | Conference Paper | LibreCat-ID: 20070
M. Dellnitz et al., “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control,” 2014.
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2013 | Book Chapter | LibreCat-ID: 25743
H. Anacker et al., “Methods for the Design and Development,” in Design Methodology for Intelligent Technical Systems Systems – Develop Intelligent Technical Systems of the Future, Heidelberg: Springer-Verlag, 2013, pp. 187–356.
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2013 | Conference Paper | LibreCat-ID: 29603
A. Specht, S. Ober-Blöbaum, O. Wallscheid, C. Romaus, and J. Böcker, “Discrete-time model of an IPMSM based on variational integrators,” in Electric Machines & Drives Conference (IEMDC), 2013 IEEE International, 2013, pp. 1411–1417.
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2013 | Conference Paper | LibreCat-ID: 29491
T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “Computing time investigations for variational multirate integration,” in Proceedings of Applied Mathematics and Mechanics, 2013, vol. 13(1), pp. 43–44.
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2013 | Book Chapter | LibreCat-ID: 29419
O. Schütze, K. Witting, S. Ober-Blöbaum, M. Dellnitz, and E. Tantar, “Set oriented methods for the numerical treatment of multi-objective optimization problems,” in EVOLVE - A Bridge Between Probability, Set Oriented Numerics, and Evolutionary Computation, Berlin Heidelberg: Springer, 2013, pp. 187–219.
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2013 | Journal Article | LibreCat-ID: 20032
S. Ober-Blöbaum, M. Tao, M. Cheng, H. Owhadi, and J. E. Marsden, “Variational integrators for electric circuits,” Journal of Computational Physics, vol. 242, pp. 498–530, 2013, doi: 10.1016/j.jcp.2013.02.006.
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2013 | Journal Article | LibreCat-ID: 29406
K. Witting, S. Ober-Blöbaum, and M. Dellnitz, “A variational approach to define robustness for parametric multiobjective optimization problems,” Journal of Global Optimization, vol. 57(2), pp. 331–345, 2013.
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2013 | Book Chapter | LibreCat-ID: 29418
S. Leyendecker and S. Ober-Blöbaum, “A variational approach to multirate integration for constrained systems,” in Jean-Claude Samin and Paul Fisette, editors, Multibody Dynamics, vol. 28, Netherlands: Springer, 2013, pp. 97–121.
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2013 | Conference Paper | LibreCat-ID: 29441
K. Flaßkamp, S. Ober-Blöbaum, T. Schneider, and J. Böcker, “Optimal control of a switched reluctance drive by a direct method using a discrete variational principle,” in 52nd IEEE International Conference on Decision and Control , Florence, Italy, 2013, pp. 7467–7472.
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2013 | Conference Paper | LibreCat-ID: 29443
S. Ober-Blöbaum and A. Seifried, “A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties,” in European Control Conference, Zurich, Switzerland, 2013, pp. 204–209.
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2013 | Conference Paper | LibreCat-ID: 29442
K. Flaßkamp, T. Murphey, and S. Ober-Blöbaum, “Discretized switching time optimization problems,” in European Control Conference, Zurich, Switzerland, 2013, pp. 3179–3184.
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2013 | Conference Paper | LibreCat-ID: 20028
K. Flaßkamp and S. Ober-Blöbaum, “Optimale Steuerungsstrategien für selbstoptimierende mechatronische Systeme mit mehreren Zielkriterien,” in 9. Paderborner Workshop Entwurf mechatronischer Systeme, Paderborn, Germany, 2013, pp. 65–78.
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2013 | Conference Paper | LibreCat-ID: 20029
C. Heinzemann et al., “Sichere Konvoibildung mit Hilfe optimaler Bremsprofile,” in 9. Paderborner Workshop Entwurf mechatronischer Systeme, Paderborn, Germany, 2013, pp. 177–190.
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2013 | Conference Paper | LibreCat-ID: 29447
A. Specht, S. Ober-Blöbaum, O. Wallscheid, C. Romaus, and J. Böcker, “Discretetime model of an IPMSM based on variational integrators,” in IEEE International Electric Machines & Drives Conference (IEMDC), 2013, pp. 1411–1417.
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2013 | Conference Paper | LibreCat-ID: 29446
M. Ringkamp, S. Ober-Blöbaum, and S. Leyendecker, “A numerical approach to multiobjective optimal control of multibody dynamics,” 2013.
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2013 | Conference Paper | LibreCat-ID: 29444
F. Demoures, F. Gay-Balmaz, T. Leitz, S. Leyendecker, S. Ober-Blöbaum, and T. S. Ratiu, “Asynchronous variational Lie group integration for geometrically exact beam dynamics,” in Proceedings of Applied Mathematics and Mechanics, 2013, vol. 13(1), pp. 45–46.
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2013 | Conference Paper | LibreCat-ID: 29492
M. Ringkamp, S. Leyendecker, and S. Ober-Blöbaum, “Multiobjective optimal control of a four-body kinematic chain,” in Proceedings of Applied Mathematics and Mechanics, 2013, vol. 13(1), pp. 27–28.
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2013 | Conference Paper | LibreCat-ID: 29445
T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “Computing time investigations of variational multirate systems,” in Proceedings of Applied Mathematics and Mechanics, 2013, vol. 13(1), pp. 43–44.
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2013 | Conference Paper | LibreCat-ID: 29490
K. Flaßkamp, T. Murphey, and S. Ober-Blöbaum, “Optimization for discretized switched systems,” in Proceedings of Applied Mathematics and Mechanics, 2013, vol. 13(1), pp. 401–402.
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2012 | Conference Paper | LibreCat-ID: 29452
S. Ober-Blöbaum, M. Ringkamp, and G. zum Felde, “Solving multiobjective optimal control problems in space mission design using discrete mechanics and reference point techniques,” in 51st IEEE International Conference on Decision and Control, Maui, USA, 2012, pp. 5711–5716.
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2012 | Journal Article | LibreCat-ID: 29409
M. Ringkamp, S. Ober-Blöbaum, M. Dellnitz, and O. Schütze, “Handling high dimensional problems with multi-objective continuation methods via successive approximation of the tangent space,” Engineering Optimization, vol. 44(6), pp. 1117–1146, 2012.
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2012 | Journal Article | LibreCat-ID: 29407
A. Moore, S. Ober-Blöbaum, and J. E. Marsden, “Trajectory design combining invariant manifolds with discrete mechanics and optimal control,” Journal of Guidance, Control, and Dynamics, vol. 35(5), pp. 1507–1525, 2012.
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2012 | Journal Article | LibreCat-ID: 29408
K. Flaßkamp, S. Ober-Blöbaum, and M. Kobilarov, “Solving optimal control problems by exploiting inherent dynamical systems structures,” Journal of Nonlinear Science, vol. 22(4), pp. 599–629, 2012.
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2012 | Conference Paper | LibreCat-ID: 29451
K. Flaßkamp, T. Murphey, and S. Ober-Blöbaum, “Switching time optimization in discretized hybrid dynamical systems,” in 51st IEEE International Conference on Decision and Control, Maui, USA, 2012, pp. 707–712.
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2012 | Conference Paper | LibreCat-ID: 29450
K. Flaßkamp and S. Ober-Blöbaum, “Motion planning for mechanical systems with hybrid dynamics,” 2012.
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2012 | Conference Paper | LibreCat-ID: 29453
C. M. Campos, O. Junge, and S. Ober-Blöbaum, “Higher order variational time discretization of optimal control problems,” 2012.
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2012 | Conference Paper | LibreCat-ID: 29454
K. Flaßkamp and S. Ober-Blöbaum, “Energy efficient control for mechanical systems based on inherent dynamical structures,” in American Control Conference, Montreal, Canada, 2012, pp. 2609–2614.
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2012 | Conference Paper | LibreCat-ID: 23161
K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, M. Dellnitz, and A. Trächtler, “Optimal Control on Stable Manifolds for a Double Pendulum,” in Proceedings in Applied Mathematics and Mechanics, 2012, vol. 12(1), pp. 723–724.
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2011 | Conference Paper | LibreCat-ID: 29457
S. Ober-Blöbaum, “Discrete mechanics and optimal control: Structure preserving integration for the optimal control of mechanical systems,” 2011.
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2011 | Conference Paper | LibreCat-ID: 29455
S. Leyendecker and S. Ober-Blöbaum, “A variational approach to multirate integration for constrained systems,” Oberwolfach, Germany, 2011.
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2011 | Journal Article | LibreCat-ID: 29410
S. Ober-Blöbaum, O. Junge, and J. E. Marsden, “Discrete mechanics and optimal control: an analysis,” Control, Optimisation and Calculus of Variations, vol. 17(2), pp. 322–352, 2011.
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2011 | Conference Paper | LibreCat-ID: 29456
S. Leyendecker and S. Ober-Blöbaum, “A variational approach to multirate integration for constrained systems,” Brussels, Belgium, 2011.
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2011 | Conference Paper | LibreCat-ID: 23180
J. Timmermann, S. Khatab, S. Ober-Blöbaum, and A. Trächtler, “Discrete Mechanics and Optimal Control and its Application to a Double Pendulum on a Cart,” Milano, Italy, 2011.
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2011 | Conference Paper | LibreCat-ID: 29458
K. Flaßkamp, S. Ober-Blöbaum, M. Ringkamp, T. Schneider, C. Schulte, and J. Böcker, “Berechnung optimaler Stromprofile für einen 6-phasigen, geschalteten Reluktanzantrieb,” Paderborn, Germany, 2011.
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2011 | Conference Paper | LibreCat-ID: 20012
K. Flaßkamp and S. Ober-Blöbaum, “Variational formulation and optimal control of hybrid Lagrangian systems,” in HSCC ’11: 14th International Conference on Hybrid Systems: Computation and Control, 2011, pp. 241–250.
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2011 | Conference Paper | LibreCat-ID: 29493
S. Leyendecker and S. Ober-Blöbaum, “Variational multirate integration of constrained dynamics,” in Proceedings of Applied Mathematics and Mechanics, 2011, vol. 11(1), pp. 53–54.
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2011 | Conference Paper | LibreCat-ID: 29494
S. Ober-Blöbaum, M. Tao, and H. Owhadi, “Variational integrators for electric circuits,” in Proceedings of Applied Mathematics and Mechanics, 2011, vol. 11(1), pp. 783–784.
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2011 | Conference Paper | LibreCat-ID: 29464
A. Moore, S. Ober-Blöbaum, and J. E. Marsden, “Mesh refinement strategies for spacecraft trajectory optimization using discrete mechanics and optimal control,” New Orleans, Lousiana, USA, 2011.
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2010 | Journal Article | LibreCat-ID: 29411
S. Leyendecker, S. Ober-Blöbaum, J. E. Marsden, and M. Ortiz, “Discrete mechanics and optimal control for constrained systems,” Optimal Control, Applications and Methods, vol. 31(6), pp. 505–528, 2010.
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2010 | Conference Paper | LibreCat-ID: 29468
A. Moore, S. Ober-Blöbaum, and J. E. Marsden, “The effect of mesh refinement on spacecraft trajectory design using descrete mechanics and optimal control,” Paris, France, 2010.
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2010 | Conference Paper | LibreCat-ID: 29467
B. Thiere, S. Ober-Blöbaum, and P. Pergola, “Detecting initial guesses for trajectories in the (P)CRTBP,” Toronto, Canada, USA, 2010.
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2010 | Conference Paper | LibreCat-ID: 20023
S. Leyendecker and S. Ober-Blöbaum, “A variational approach to multirate integration,” Paris, France, 2010.
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2010 | Conference Paper | LibreCat-ID: 29496
S. Ober-Blöbaum and A. Walther, “Computation of derivatives for structure preserving optimal control using automatic differentiation,” in Proceedings of Applied Mathematics and Mechanics, 2010, vol. 10(1), pp. 585–586.
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2010 | Conference Paper | LibreCat-ID: 29495
K. Flaßkamp, S. Ober-Blöbaum, and M. Kobilarov, “Solving optimal control problems by using inherent dynamical properties,” in Proceedings of Applied Mathematics and Mechanics, 2010, vol. 10(1), pp. 577–578.
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2009 | Journal Article | LibreCat-ID: 29412
M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, and B. Thiere, “A multi-objective approach to the design of low thrust space trajectories using optimal control,” Celestial Mechanics and Dynamical Astronomy, vol. 105, pp. 33–59, 2009.
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2009 | Conference Paper | LibreCat-ID: 29470
S. Nair, S. Ober-Blöbaum, and J. E. Marsden, “The Jacobi-Maupertuis principle in variational integrators,” in 7th International Conference of Numerical Analysis and Applied Mathematics, Rethymno, Crete, Greece, 2009, pp. 464–466.
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2009 | Conference Paper | LibreCat-ID: 23237
S. Ober-Blöbaum and J. Timmermann, “Optimal Control for a Pitcher’s Motion Modeled as Constrained Mechanical System,” San Diego, CA, USA, 2009.
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2009 | Conference Paper | LibreCat-ID: 29471
M. Gehler, S. Ober-Blöbaum, and B. Dachwald, “Application of discrete mechanics and optimal control to spacecraft in non-Keplerian motion around small solar systems,” Daejeon, Republic of Korea, 2009.
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2009 | Conference Paper | LibreCat-ID: 29473
A. Moore, S. Ober-Blöbaum, and J. E. Marsden, “Optimization of spacecraft trajectories: a method combining invariant manifold techniques and descrete mechanics and optimal ,” Savannah, Georgia, USA, 2009.
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2009 | Conference Paper | LibreCat-ID: 29472
M. Gehler, S. Ober-Blöbaum, B. Dachwald, and J. E. Marsden, “Optimal control of gravity tractor spacecraft near arbitrarily shaped asteroids,” Granada, Spain, 2009.
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2008 | Conference Paper | LibreCat-ID: 29474
W. Zhang, T. Inanc, S. Ober-Blöbaum, and J. E. Marsden, “Optimal trajectory generation for a dynamic glider in ocean flows modeled by 3d B-spline functions,” Pasadena, CA, USA, 2008.
LibreCat
2007 | Conference Paper | LibreCat-ID: 20021
S. Leyendecker, S. Ober-Blöbaum, J. E. Marsden, and M. Ortiz, “Discrete mechanics and optimal control for constrained multibody dynamics,” in 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, ASME International Design Engineering Technical Conferences, Las Vegas, Nevada, USA, 2007, vol. 5, pp. 623–632.
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2006 | Book Chapter | LibreCat-ID: 20056
M. Dellnitz, O. Junge, A. Krishnamurthy, S. Ober-Blöbaum, K. Padberg, and R. Preis, “Efficient Control of Formation Flying Spacecraft,” in Friedhelm Meyer auf der Heide and Burkhard Monien, editors, New Trends in Parallel & Distributed Computing, vol. 181, Heinz Nixdorf Institut Verlagsschriftreihe, 2006, pp. 235–247.
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2006 | Conference Paper | LibreCat-ID: 29488
O. Junge, J. E. Marsden, and S. Ober-Blöbaum, “Optimal reconfiguration of formation flying spacecraft - a decentralized approach,” in 45th IEEE Conference on Decision and Control, San Diego, CA, USA, 2006, pp. 5210–5215.
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2005 | Conference Paper | LibreCat-ID: 20017
O. Junge and S. Ober-Blöbaum, “Optimal reconfiguration of formation flying satellites,” Seville, Spain, 2005.
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2005 | Conference Paper | LibreCat-ID: 20020
O. Junge, J. E. Marsden, and S. Ober-Blöbaum, “Discrete mechanics and optimal control,” Prague, Czech Republic, 2005.
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128 Publications
2025 | Preprint | LibreCat-ID: 58544 |
D. Kopylov et al., “Multiphoton, multimode state classification for nonlinear optical circuits .” .
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| Download (ext.)
| arXiv
2024 | Journal Article | LibreCat-ID: 53101 |
S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R. T. S. M. de Almagro, and F. O. Szemenyei, “A new Lagrangian approach to control affine systems with a quadratic Lagrange term,” Journal of Computational Dynamics, vol. 0, no. 0, pp. 0–0, 2024, doi: 10.3934/jcd.2024017.
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| DOI
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2024 | Journal Article | LibreCat-ID: 46469 |
C. Offen and S. Ober-Blöbaum, “Learning of discrete models of variational PDEs from data,” Chaos, vol. 34, no. 1, Art. no. 013104, 2024, doi: 10.1063/5.0172287.
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| Files available
| DOI
| arXiv
2023 | Conference Paper | LibreCat-ID: 34135 |
Y. Lishkova et al., “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery,” in IFAC-PapersOnLine, Yokohama, Japan, 2023, vol. 56, no. 2, pp. 3203–3210, doi: 10.1016/j.ifacol.2023.10.1457.
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| arXiv
2023 | Conference Paper | LibreCat-ID: 42163 |
C. Offen and S. Ober-Blöbaum, “Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves,” in Geometric Science of Information, Saint-Malo, Palais du Grand Large, France, 2023, vol. 14071, pp. 569–579, doi: 10.1007/978-3-031-38271-0_57.
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| Files available
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 29240 |
S. Ober-Blöbaum and C. Offen, “Variational Learning of Euler–Lagrange Dynamics from Data,” Journal of Computational and Applied Mathematics, vol. 421, p. 114780, 2023, doi: 10.1016/j.cam.2022.114780.
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| Files available
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 37654 |
E. Dierkes, C. Offen, S. Ober-Blöbaum, and K. Flaßkamp, “Hamiltonian Neural Networks with Automatic Symmetry Detection,” Chaos, vol. 33, no. 6, Art. no. 063115, 2023, doi: 10.1063/5.0142969.
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| Files available
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 21600
M. Dellnitz et al., “Efficient time stepping for numerical integration using reinforcement learning,” SIAM Journal on Scientific Computing, vol. 45, no. 2, pp. A579–A595, 2023, doi: 10.1137/21M1412682.
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| Files available
| DOI
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| arXiv
2023 | Report | LibreCat-ID: 47147
Y. Lishkova, S. Ober-Blöbaum, and S. Leyendecker, Multirate Discrete Mechanics and Optimal Control for a Flexible Satelite Model . Invited Mathematical Magazine Article, 2023.
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2023 | Conference Paper | LibreCat-ID: 47148
Y. Lishkova, M. Bando, and S. Ober-Blöbaum, “Variational approach for modelling and optimal control of electrodynamic tether motion,” 2023.
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2022 | Journal Article | LibreCat-ID: 30490
J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations,” AIMS, vol. 14(1), pp. 57–89, 2022.
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2022 | Conference Paper | LibreCat-ID: 30733
N. Vertovec, S. Ober-Blöbaum, and K. Margellos, “Verification of safety critical control policies using kernel methods,” London, 2022, pp. 1870–1875.
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2022 | Journal Article | LibreCat-ID: 44624
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, and K. Worthmann, “Manifold turnpikes, trims, and symmetries,” Mathematics of Control, Signals, and Systems, vol. 34, pp. 759–788, 2022.
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2022 | Journal Article | LibreCat-ID: 23382 |
C. Offen and S. Ober-Blöbaum, “Symplectic integration of learned Hamiltonian systems,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32(1), 2022, doi: 10.1063/5.0065913.
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| Files available
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| arXiv
2021 | Conference Paper | LibreCat-ID: 29421
S. Ober-Blöbaum and M. Vermeeren, “Superconvergence of galerkin variational integrators,” in 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, 2021, vol. 54(19), pp. 327–333.
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2021 | Journal Article | LibreCat-ID: 16294 |
S. Ober-Blöbaum and S. Peitz, “Explicit multiobjective model predictive control for nonlinear systems with symmetries,” International Journal of Robust and Nonlinear Control, vol. 31(2), pp. 380–403, 2021, doi: 10.1002/rnc.5281.
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| DOI
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2021 | Conference Paper | LibreCat-ID: 22894 |
C. Offen and S. Ober-Blöbaum, “Bifurcation preserving discretisations of optimal control problems,” vol. 54(19). pp. 334–339, 2021, doi: https://doi.org/10.1016/j.ifacol.2021.11.099.
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| Files available
| DOI
| Download (ext.)
| arXiv
2021 | Conference Paper | LibreCat-ID: 21572
S. Ridderbusch, C. Offen, S. Ober-Blöbaum, and P. Goulart, “Learning ODE Models with Qualitative Structure Using Gaussian Processes ,” in 2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, USA, 2021, p. 2896, doi: 10.1109/CDC45484.2021.9683426.
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| Files available
| DOI
| arXiv
2021 | Conference Paper | LibreCat-ID: 29868
F. Jiménez and S. Ober-Blöbaum, “Fractional Damping Through Restricted Calculus of Variations,” in Nichtlineare Sci 31, 2021, vol. 46.
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2021 | Conference Paper | LibreCat-ID: 47146
Y. Lishkova, M. Cannon, and S. Ober-Blöbaum, “A multirate variational approach to Nonlinear MPC,” 2021.
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2020 | Journal Article | LibreCat-ID: 29399
D. J. N. Limebeer, S. Ober-Blöbaum, and F. H. Farshi, “Variational integrators for dissipative systems,” IEEE Transactions on Automatic Control, vol. 65(4), pp. 1381–1396, 2020.
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2020 | Journal Article | LibreCat-ID: 16297
C. I. Hernández Castellanos, S. Ober-Blöbaum, and S. Peitz, “Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty,” International Journal of Robust and Nonlinear Control, vol. 30(17), pp. 7593–7618, 2020, doi: 10.1002/rnc.5197.
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| DOI
2020 | Journal Article | LibreCat-ID: 29398
C. I. O. Hernández Castellanos, G. Schütze, J.-Q. Sun, S. Ober-Blöbaum, and G. Morales-Luna, “Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping,” Mathematics, vol. 8(11):1959, 2020.
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2020 | Conference Paper | LibreCat-ID: 29422
Y. Lishkova, S. Ober-Blöbaum, M. Cannon, and S. Leyendecker, “A multirate variational approach to simulation and optimal control for flexible spacecraft,” 2020.
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2020 | Conference Paper | LibreCat-ID: 29423
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann, “A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems,” 2020.
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2020 | Conference Paper | LibreCat-ID: 29424
J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Modelling of the convection-diffusion equation through fractional restricted calculus of variations,” 2020.
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2020 | Book Chapter | LibreCat-ID: 29413
K. Flaßkamp, S. Ober-Blöbaum, and S. Peitz, “Symmetry in optimal control: A multiobjective model predictive control approach,” in Advances in Dynamics, Optimization and Computation, O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham: Springer International Publishing, 2020, pp. 209–237.
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2019 | Journal Article | LibreCat-ID: 19993
K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann, “Symmetry and motion primitives in model predictive control,” MCSS, vol. 31, pp. 455–485, 2019.
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2019 | Conference Paper | LibreCat-ID: 29867
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann, “Towards velocity turnpikes in optimal control of mechanical systems,” 2019, vol. 52(16), pp. 490–495.
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2018 | Journal Article | LibreCat-ID: 8753
S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling,” Acta Applicandae Mathematicae, vol. 161, no. 1, pp. 171–199, 2018, doi: 10.1007/s10440-018-0209-7.
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| DOI
2018 | Journal Article | LibreCat-ID: 20112
J. M. Reniers, G. Mulder, S. Ober-Blöbaum, and D. A. Howe, “Improving optimal control of grid-connected lithium-ion batteries through more accurate battery and degradation modelling,” Journal of Power Sources, vol. 379, pp. 91–102, 2018, doi: https://doi.org/10.1016/j.jpowsour.2018.01.004.
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| DOI
2018 | Conference Paper | LibreCat-ID: 29425
F. Jiménez and S. Ober-Blöbaum, “Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives,” 2018.
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2018 | Conference Paper | LibreCat-ID: 29427
F. Jiménez and S. Ober-Blöbaum, “A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings,” in 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, 2018, vol. 51(3), pp. 50–55.
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2017 | Journal Article | LibreCat-ID: 20061
J. C. Mergel, R. A. Sauer, and S. Ober-Blöbaum, “C1-continuous space-time discretization based on Hamilton’s law of varying action,” ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol. 97(4), pp. 433–457, 2017, doi: 10.1002/zamm.201600062.
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| DOI
2017 | Journal Article | LibreCat-ID: 20091
T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints,” Advances in Computational Mathematics, vol. 43(5), pp. 1163–1195, 2017, doi: 10.1007/s10444-017-9520-5.
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| DOI
2017 | Journal Article | LibreCat-ID: 20059
S. Ober-Blöbaum, “Galerkin variational integrators and modified symplectic Runge-Kutta methods,” IMA Journal of Numerical Analysis, vol. 37(1), pp. 375–406, 2017, doi: 10.1093/imanum/drv062.
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| DOI
2017 | Journal Article | LibreCat-ID: 20093
B. Stellato, S. Ober-Blöbaum, and P. J. Goulart, “Second-order switching time optimization for switched dynamical systems,” IEEE Transactions on Automatic Control, vol. 62(10), pp. 5407–5414, 2017.
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2017 | Journal Article | LibreCat-ID: 8756
S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, and M. Dellnitz, “A multiobjective MPC approach for autonomously driven electric vehicles,” Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC), vol. 50, no. 1, pp. 8674–8679, 2017, doi: 10.1016/j.ifacol.2017.08.1526.
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| DOI
2017 | Conference Paper | LibreCat-ID: 29430
T. Gail, S. Ober-Blöbaum, and S. Leyendecker, “Variational multirate integration in discrete mechanics and optimal control,” 2017.
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2017 | Journal Article | LibreCat-ID: 20106
T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators of mixed order for constrained and unconstrained systems acting on multiple time scales,” PAMM, vol. 17, no. 1, 2017, doi: 10.1002/pamm.201710057.
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| DOI
2016 | Journal Article | LibreCat-ID: 20060
M. Ringkamp, S. Ober-Blöbaum, and S. Leyendecker, “On the time transformation of mixed integer optimal control problems using a consistent fixed integer control function,” Mathematical Programming, pp. 1–31, 2016, doi: 10.1007/s10107-016-1023-5.
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| DOI
2016 | Conference Paper | LibreCat-ID: 8758
J. Eckstein et al., “A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles,” in Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering, 2016, vol. 26, pp. 465–472, doi: 10.1016/j.protcy.2016.08.059.
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| DOI
2016 | Conference Paper | LibreCat-ID: 29435
T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials,” in ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, 2016, pp. 1818–1831.
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2016 | Conference Paper | LibreCat-ID: 29432
T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods,” 2016.
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2016 | Conference Paper | LibreCat-ID: 29433
S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Reduced order model based multiobjective optimal control of fluids,” 2016.
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2016 | Conference Paper | LibreCat-ID: 29436
B. Stellato, S. Ober-Blöbaum, and P. J. Goulart, “Optimal control of switching times in switched linear systems,” in 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, pp. 7228–7233.
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2016 | Journal Article | LibreCat-ID: 20101
T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators of higher order for constrained dynamical systems,” PAMM, vol. 16(1), pp. 775–776, 2016, doi: 10.1002/pamm.201610376.
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| DOI
2016 | Journal Article | LibreCat-ID: 20105
J. C. Mergel, R. A. Sauer, and S. Ober-Blöbaum, “C1-continuous time integration based on cubic Hermite interpolation,” PAMM, vol. 16(1), pp. 753–754, 2016, doi: 10.1002/pamm.201610365.
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| DOI
2016 | Journal Article | LibreCat-ID: 20103
M. Ringkamp, S. Ober-Blöbaum, and S. Leyendecker, “Time transformed mixed integer optimal control problems with impacts,” PAMM, vol. 16(1), pp. 789–790, 2016, doi: 10.1002/pamm.201610383.
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| DOI
2016 | Journal Article | LibreCat-ID: 20104
S. Ober-Blöbaum, “Higher order variational integrators in optimal control theory,” PAMM, vol. 16(1), pp. 821–822, 2016, doi: 10.1002/pamm.201610399.
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| DOI
2016 | Conference Paper | LibreCat-ID: 20097
S. Ober-Blöbaum, “On higher order variational integrators and their relation to Runge-Kutta methods,” 2016.
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2015 | Journal Article | LibreCat-ID: 29402
K. Flaßkamp, S. Hage-Packhäuser, and S. Ober-Blöbaum, “Symmetry exploiting control of hybrid mechanical systems,” Journal of Computational Dynamics, vol. 2(1), pp. 25–50, 2015.
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2015 | Journal Article | LibreCat-ID: 20057
F. Demoures, F. Gay-Balmaz, S. Leyendecker, S. Ober-Blöbaum, T. S. Ratiu, and Y. Weinand, “Discrete variational Lie group formulation of geometrically exact beam dynamics,” Numerische Mathematik, vol. 130(1), pp. 73–123, 2015, doi: 10.1007/s00211-014-0659-4.
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| DOI
2015 | Journal Article | LibreCat-ID: 29403
C. M. Campos, S. Ober-Blöbaum, and E. Trélat, “High order variational integrators in the optimal control of mechanical systems,” Discrete and Continuous Dynamical Systems, vol. 35(9), pp. 4193–4223, 2015.
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2015 | Journal Article | LibreCat-ID: 20107
M. Ringkamp, S. Ober-Blöbaum, and S. Leyendecker, “Relaxing mixed integer optimal control problems using a time transformation,” Proceedings of Applied Mathematics and Mechanics, vol. 15(1), pp. 27–30, 2015, doi: 10.1002/pamm.201510008.
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| DOI
2015 | Journal Article | LibreCat-ID: 20111
S. Ober-Blöbaum and K. Padberg-Gehle, “Multiobjective optimal control of fluid mixing,” PAMM, vol. 15(1), pp. 639–640, 2015, doi: 10.1002/pamm.201510309.
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| DOI
2014 | Book Chapter | LibreCat-ID: 25173
M. Dellnitz et al., “Self-optimizing Mechatronic Systems,” in Dependability of Self-optimizing Mechatronic Systems, Kapitel: 1.1, Heidelberg, Germany: Springer-Verlag, 2014, pp. 3–12.
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2014 | Book Chapter | LibreCat-ID: 25177
K. Flaßkamp et al., “Development of the RailCab Vehicle,” in Dependability of Self-Optimizing Mechatronic Systems, Heidelberg, Germany: Springer-Verlag , 2014, pp. 184–190.
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2014 | Book Chapter | LibreCat-ID: 23109
K. Flaßkamp et al., “Verification for Interacting Mechatronic Systems with Motion Profiles,” in Dependability of Self-optimizing Mechatronic Systems, Springer-Verlag, Heidelberg, Germany, 2014, pp. 119–128.
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2014 | Journal Article | LibreCat-ID: 23110
K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, and A. Trächtler, “Control strategies on stable manifolds for energyefficient swing-ups of double pendula,” International Journal of Control, vol. DOI: 10.1080/00207179.2014.893450, pp. 1–20, 2014.
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2014 | Conference Paper | LibreCat-ID: 29440
S. Ober-Blöbaum and H. Lindhorst, “Variational formulation and structure-preserving discretization of nonlinear electric circuits,” Netherlands, 2014.
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2014 | Conference Paper | LibreCat-ID: 29438
T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “On the role of quadrature rules and system dimensions in variational multirate integrators,” 2014.
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2014 | Journal Article | LibreCat-ID: 20072
K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, and A. Trächtler, “Control strategies on stable manifolds for energy-efficient swing-ups of double pendula,” International Journal of Control, vol. 87(9), pp. 1886–1905, 2014, doi: 10.1080/00207179.2014.893450.
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| DOI
2014 | Journal Article | LibreCat-ID: 29404
S. Ober-Blöbaum and N. Saake, “Construction and analysis of higher order Galerkin variational integrators,” Advances in Computational Mathematics, pp. 1–32, 2014.
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2014 | Book Chapter | LibreCat-ID: 29417
W. Dangelmeier et al., “Dependability of Self-optimizing Mechatronic Systems,” in Lecture Notes in Mechanical Engineering, Heidelberg New York Dordrecht London: Springer, 2014.
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2014 | Book Chapter | LibreCat-ID: 29416
M. Dellnitz et al., “The paradigm of self-optimization,” in Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, editors, Design Methodology for Intelligent Technical Systems, Berlin Heidelberg: Springer, 2014, pp. 1–25.
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2014 | Book Chapter | LibreCat-ID: 29414
T. Leitz, S. Ober-Blöbaum, and S. Leyendecker, “Variational Lie group formulation of geometrically exact beam dynamics: Synchronous and asynchronous integration,” in Zdravko Terze, Multibody Dynamics, vol. 35, Springer International Publishing, 2014, pp. 175–203.
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2014 | Journal Article | LibreCat-ID: 20071
M. Dellnitz et al., “Development of an intelligent cruise control using optimal control methods ,” SysInt 2014 Proceedings, vol. 15, no. 0, pp. 285–294, 2014, doi: http://dx.doi.org/10.1016/j.protcy.2014.09.082.
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| DOI
2014 | Conference Paper | LibreCat-ID: 20087
T. Leitz, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators for dynamical systems with rotational degrees of freedom,” 2014.
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2014 | Conference Paper | LibreCat-ID: 20070
M. Dellnitz et al., “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control,” 2014.
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2013 | Book Chapter | LibreCat-ID: 25743
H. Anacker et al., “Methods for the Design and Development,” in Design Methodology for Intelligent Technical Systems Systems – Develop Intelligent Technical Systems of the Future, Heidelberg: Springer-Verlag, 2013, pp. 187–356.
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2013 | Conference Paper | LibreCat-ID: 29603
A. Specht, S. Ober-Blöbaum, O. Wallscheid, C. Romaus, and J. Böcker, “Discrete-time model of an IPMSM based on variational integrators,” in Electric Machines & Drives Conference (IEMDC), 2013 IEEE International, 2013, pp. 1411–1417.
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2013 | Conference Paper | LibreCat-ID: 29491
T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “Computing time investigations for variational multirate integration,” in Proceedings of Applied Mathematics and Mechanics, 2013, vol. 13(1), pp. 43–44.
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2013 | Book Chapter | LibreCat-ID: 29419
O. Schütze, K. Witting, S. Ober-Blöbaum, M. Dellnitz, and E. Tantar, “Set oriented methods for the numerical treatment of multi-objective optimization problems,” in EVOLVE - A Bridge Between Probability, Set Oriented Numerics, and Evolutionary Computation, Berlin Heidelberg: Springer, 2013, pp. 187–219.
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2013 | Journal Article | LibreCat-ID: 20032
S. Ober-Blöbaum, M. Tao, M. Cheng, H. Owhadi, and J. E. Marsden, “Variational integrators for electric circuits,” Journal of Computational Physics, vol. 242, pp. 498–530, 2013, doi: 10.1016/j.jcp.2013.02.006.
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| DOI
2013 | Journal Article | LibreCat-ID: 29406
K. Witting, S. Ober-Blöbaum, and M. Dellnitz, “A variational approach to define robustness for parametric multiobjective optimization problems,” Journal of Global Optimization, vol. 57(2), pp. 331–345, 2013.
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2013 | Book Chapter | LibreCat-ID: 29418
S. Leyendecker and S. Ober-Blöbaum, “A variational approach to multirate integration for constrained systems,” in Jean-Claude Samin and Paul Fisette, editors, Multibody Dynamics, vol. 28, Netherlands: Springer, 2013, pp. 97–121.
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2013 | Conference Paper | LibreCat-ID: 29441
K. Flaßkamp, S. Ober-Blöbaum, T. Schneider, and J. Böcker, “Optimal control of a switched reluctance drive by a direct method using a discrete variational principle,” in 52nd IEEE International Conference on Decision and Control , Florence, Italy, 2013, pp. 7467–7472.
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2013 | Conference Paper | LibreCat-ID: 29443
S. Ober-Blöbaum and A. Seifried, “A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties,” in European Control Conference, Zurich, Switzerland, 2013, pp. 204–209.
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2013 | Conference Paper | LibreCat-ID: 29442
K. Flaßkamp, T. Murphey, and S. Ober-Blöbaum, “Discretized switching time optimization problems,” in European Control Conference, Zurich, Switzerland, 2013, pp. 3179–3184.
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2013 | Conference Paper | LibreCat-ID: 20028
K. Flaßkamp and S. Ober-Blöbaum, “Optimale Steuerungsstrategien für selbstoptimierende mechatronische Systeme mit mehreren Zielkriterien,” in 9. Paderborner Workshop Entwurf mechatronischer Systeme, Paderborn, Germany, 2013, pp. 65–78.
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2013 | Conference Paper | LibreCat-ID: 20029
C. Heinzemann et al., “Sichere Konvoibildung mit Hilfe optimaler Bremsprofile,” in 9. Paderborner Workshop Entwurf mechatronischer Systeme, Paderborn, Germany, 2013, pp. 177–190.
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2013 | Conference Paper | LibreCat-ID: 29447
A. Specht, S. Ober-Blöbaum, O. Wallscheid, C. Romaus, and J. Böcker, “Discretetime model of an IPMSM based on variational integrators,” in IEEE International Electric Machines & Drives Conference (IEMDC), 2013, pp. 1411–1417.
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2013 | Conference Paper | LibreCat-ID: 29446
M. Ringkamp, S. Ober-Blöbaum, and S. Leyendecker, “A numerical approach to multiobjective optimal control of multibody dynamics,” 2013.
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2013 | Conference Paper | LibreCat-ID: 29444
F. Demoures, F. Gay-Balmaz, T. Leitz, S. Leyendecker, S. Ober-Blöbaum, and T. S. Ratiu, “Asynchronous variational Lie group integration for geometrically exact beam dynamics,” in Proceedings of Applied Mathematics and Mechanics, 2013, vol. 13(1), pp. 45–46.
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2013 | Conference Paper | LibreCat-ID: 29492
M. Ringkamp, S. Leyendecker, and S. Ober-Blöbaum, “Multiobjective optimal control of a four-body kinematic chain,” in Proceedings of Applied Mathematics and Mechanics, 2013, vol. 13(1), pp. 27–28.
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2013 | Conference Paper | LibreCat-ID: 29445
T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “Computing time investigations of variational multirate systems,” in Proceedings of Applied Mathematics and Mechanics, 2013, vol. 13(1), pp. 43–44.
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2013 | Conference Paper | LibreCat-ID: 29490
K. Flaßkamp, T. Murphey, and S. Ober-Blöbaum, “Optimization for discretized switched systems,” in Proceedings of Applied Mathematics and Mechanics, 2013, vol. 13(1), pp. 401–402.
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2012 | Conference Paper | LibreCat-ID: 29452
S. Ober-Blöbaum, M. Ringkamp, and G. zum Felde, “Solving multiobjective optimal control problems in space mission design using discrete mechanics and reference point techniques,” in 51st IEEE International Conference on Decision and Control, Maui, USA, 2012, pp. 5711–5716.
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2012 | Journal Article | LibreCat-ID: 29409
M. Ringkamp, S. Ober-Blöbaum, M. Dellnitz, and O. Schütze, “Handling high dimensional problems with multi-objective continuation methods via successive approximation of the tangent space,” Engineering Optimization, vol. 44(6), pp. 1117–1146, 2012.
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2012 | Journal Article | LibreCat-ID: 29407
A. Moore, S. Ober-Blöbaum, and J. E. Marsden, “Trajectory design combining invariant manifolds with discrete mechanics and optimal control,” Journal of Guidance, Control, and Dynamics, vol. 35(5), pp. 1507–1525, 2012.
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2012 | Journal Article | LibreCat-ID: 29408
K. Flaßkamp, S. Ober-Blöbaum, and M. Kobilarov, “Solving optimal control problems by exploiting inherent dynamical systems structures,” Journal of Nonlinear Science, vol. 22(4), pp. 599–629, 2012.
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2012 | Conference Paper | LibreCat-ID: 29451
K. Flaßkamp, T. Murphey, and S. Ober-Blöbaum, “Switching time optimization in discretized hybrid dynamical systems,” in 51st IEEE International Conference on Decision and Control, Maui, USA, 2012, pp. 707–712.
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2012 | Conference Paper | LibreCat-ID: 29450
K. Flaßkamp and S. Ober-Blöbaum, “Motion planning for mechanical systems with hybrid dynamics,” 2012.
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2012 | Conference Paper | LibreCat-ID: 29453
C. M. Campos, O. Junge, and S. Ober-Blöbaum, “Higher order variational time discretization of optimal control problems,” 2012.
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2012 | Conference Paper | LibreCat-ID: 29454
K. Flaßkamp and S. Ober-Blöbaum, “Energy efficient control for mechanical systems based on inherent dynamical structures,” in American Control Conference, Montreal, Canada, 2012, pp. 2609–2614.
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2012 | Conference Paper | LibreCat-ID: 23161
K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, M. Dellnitz, and A. Trächtler, “Optimal Control on Stable Manifolds for a Double Pendulum,” in Proceedings in Applied Mathematics and Mechanics, 2012, vol. 12(1), pp. 723–724.
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2011 | Conference Paper | LibreCat-ID: 29457
S. Ober-Blöbaum, “Discrete mechanics and optimal control: Structure preserving integration for the optimal control of mechanical systems,” 2011.
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2011 | Conference Paper | LibreCat-ID: 29455
S. Leyendecker and S. Ober-Blöbaum, “A variational approach to multirate integration for constrained systems,” Oberwolfach, Germany, 2011.
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2011 | Journal Article | LibreCat-ID: 29410
S. Ober-Blöbaum, O. Junge, and J. E. Marsden, “Discrete mechanics and optimal control: an analysis,” Control, Optimisation and Calculus of Variations, vol. 17(2), pp. 322–352, 2011.
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2011 | Conference Paper | LibreCat-ID: 29456
S. Leyendecker and S. Ober-Blöbaum, “A variational approach to multirate integration for constrained systems,” Brussels, Belgium, 2011.
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2011 | Conference Paper | LibreCat-ID: 23180
J. Timmermann, S. Khatab, S. Ober-Blöbaum, and A. Trächtler, “Discrete Mechanics and Optimal Control and its Application to a Double Pendulum on a Cart,” Milano, Italy, 2011.
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2011 | Conference Paper | LibreCat-ID: 29458
K. Flaßkamp, S. Ober-Blöbaum, M. Ringkamp, T. Schneider, C. Schulte, and J. Böcker, “Berechnung optimaler Stromprofile für einen 6-phasigen, geschalteten Reluktanzantrieb,” Paderborn, Germany, 2011.
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2011 | Conference Paper | LibreCat-ID: 20012
K. Flaßkamp and S. Ober-Blöbaum, “Variational formulation and optimal control of hybrid Lagrangian systems,” in HSCC ’11: 14th International Conference on Hybrid Systems: Computation and Control, 2011, pp. 241–250.
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2011 | Conference Paper | LibreCat-ID: 29493
S. Leyendecker and S. Ober-Blöbaum, “Variational multirate integration of constrained dynamics,” in Proceedings of Applied Mathematics and Mechanics, 2011, vol. 11(1), pp. 53–54.
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2011 | Conference Paper | LibreCat-ID: 29494
S. Ober-Blöbaum, M. Tao, and H. Owhadi, “Variational integrators for electric circuits,” in Proceedings of Applied Mathematics and Mechanics, 2011, vol. 11(1), pp. 783–784.
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2011 | Conference Paper | LibreCat-ID: 29464
A. Moore, S. Ober-Blöbaum, and J. E. Marsden, “Mesh refinement strategies for spacecraft trajectory optimization using discrete mechanics and optimal control,” New Orleans, Lousiana, USA, 2011.
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2010 | Journal Article | LibreCat-ID: 29411
S. Leyendecker, S. Ober-Blöbaum, J. E. Marsden, and M. Ortiz, “Discrete mechanics and optimal control for constrained systems,” Optimal Control, Applications and Methods, vol. 31(6), pp. 505–528, 2010.
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2010 | Conference Paper | LibreCat-ID: 29468
A. Moore, S. Ober-Blöbaum, and J. E. Marsden, “The effect of mesh refinement on spacecraft trajectory design using descrete mechanics and optimal control,” Paris, France, 2010.
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2010 | Conference Paper | LibreCat-ID: 29467
B. Thiere, S. Ober-Blöbaum, and P. Pergola, “Detecting initial guesses for trajectories in the (P)CRTBP,” Toronto, Canada, USA, 2010.
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2010 | Conference Paper | LibreCat-ID: 20023
S. Leyendecker and S. Ober-Blöbaum, “A variational approach to multirate integration,” Paris, France, 2010.
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2010 | Conference Paper | LibreCat-ID: 29496
S. Ober-Blöbaum and A. Walther, “Computation of derivatives for structure preserving optimal control using automatic differentiation,” in Proceedings of Applied Mathematics and Mechanics, 2010, vol. 10(1), pp. 585–586.
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2010 | Conference Paper | LibreCat-ID: 29495
K. Flaßkamp, S. Ober-Blöbaum, and M. Kobilarov, “Solving optimal control problems by using inherent dynamical properties,” in Proceedings of Applied Mathematics and Mechanics, 2010, vol. 10(1), pp. 577–578.
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2009 | Journal Article | LibreCat-ID: 29412
M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, and B. Thiere, “A multi-objective approach to the design of low thrust space trajectories using optimal control,” Celestial Mechanics and Dynamical Astronomy, vol. 105, pp. 33–59, 2009.
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2009 | Conference Paper | LibreCat-ID: 29470
S. Nair, S. Ober-Blöbaum, and J. E. Marsden, “The Jacobi-Maupertuis principle in variational integrators,” in 7th International Conference of Numerical Analysis and Applied Mathematics, Rethymno, Crete, Greece, 2009, pp. 464–466.
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2009 | Conference Paper | LibreCat-ID: 23237
S. Ober-Blöbaum and J. Timmermann, “Optimal Control for a Pitcher’s Motion Modeled as Constrained Mechanical System,” San Diego, CA, USA, 2009.
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2009 | Conference Paper | LibreCat-ID: 29471
M. Gehler, S. Ober-Blöbaum, and B. Dachwald, “Application of discrete mechanics and optimal control to spacecraft in non-Keplerian motion around small solar systems,” Daejeon, Republic of Korea, 2009.
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2009 | Conference Paper | LibreCat-ID: 29473
A. Moore, S. Ober-Blöbaum, and J. E. Marsden, “Optimization of spacecraft trajectories: a method combining invariant manifold techniques and descrete mechanics and optimal ,” Savannah, Georgia, USA, 2009.
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2009 | Conference Paper | LibreCat-ID: 29472
M. Gehler, S. Ober-Blöbaum, B. Dachwald, and J. E. Marsden, “Optimal control of gravity tractor spacecraft near arbitrarily shaped asteroids,” Granada, Spain, 2009.
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2008 | Conference Paper | LibreCat-ID: 29474
W. Zhang, T. Inanc, S. Ober-Blöbaum, and J. E. Marsden, “Optimal trajectory generation for a dynamic glider in ocean flows modeled by 3d B-spline functions,” Pasadena, CA, USA, 2008.
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2007 | Conference Paper | LibreCat-ID: 20021
S. Leyendecker, S. Ober-Blöbaum, J. E. Marsden, and M. Ortiz, “Discrete mechanics and optimal control for constrained multibody dynamics,” in 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, ASME International Design Engineering Technical Conferences, Las Vegas, Nevada, USA, 2007, vol. 5, pp. 623–632.
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2006 | Book Chapter | LibreCat-ID: 20056
M. Dellnitz, O. Junge, A. Krishnamurthy, S. Ober-Blöbaum, K. Padberg, and R. Preis, “Efficient Control of Formation Flying Spacecraft,” in Friedhelm Meyer auf der Heide and Burkhard Monien, editors, New Trends in Parallel & Distributed Computing, vol. 181, Heinz Nixdorf Institut Verlagsschriftreihe, 2006, pp. 235–247.
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2006 | Conference Paper | LibreCat-ID: 29488
O. Junge, J. E. Marsden, and S. Ober-Blöbaum, “Optimal reconfiguration of formation flying spacecraft - a decentralized approach,” in 45th IEEE Conference on Decision and Control, San Diego, CA, USA, 2006, pp. 5210–5215.
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2005 | Conference Paper | LibreCat-ID: 20017
O. Junge and S. Ober-Blöbaum, “Optimal reconfiguration of formation flying satellites,” Seville, Spain, 2005.
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2005 | Conference Paper | LibreCat-ID: 20020
O. Junge, J. E. Marsden, and S. Ober-Blöbaum, “Discrete mechanics and optimal control,” Prague, Czech Republic, 2005.
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