Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
127 Publications
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.
LibreCat
| Files available
| DOI
| 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.
LibreCat
| DOI
| Download (ext.)
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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| Files available
| DOI
| Download (ext.)
| 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.
LibreCat
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.
LibreCat
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.
LibreCat
| Files available
| DOI
| Download (ext.)
| arXiv
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.
LibreCat
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.
LibreCat
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.
LibreCat
| Files available
| DOI
| Download (ext.)
| arXiv
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.
LibreCat
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.
LibreCat
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.
LibreCat
| DOI
| Download (ext.)
2021 | Conference Paper | LibreCat-ID: 47146
Y. Lishkova, M. Cannon, and S. Ober-Blöbaum, “A multirate variational approach to Nonlinear MPC,” 2021.
LibreCat
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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
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.
LibreCat
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.
LibreCat
| 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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
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.
LibreCat
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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
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.
LibreCat
| 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.
LibreCat
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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
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.
LibreCat
2016 | Conference Paper | LibreCat-ID: 29433
S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Reduced order model based multiobjective optimal control of fluids,” 2016.
LibreCat
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.
LibreCat
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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| DOI