127 Publications
2024 | Journal Article | LibreCat-ID: 46469 | 
Offen, Christian, and Sina Ober-Blöbaum. “Learning of Discrete Models of Variational PDEs from Data.” Chaos, vol. 34, no. 1, 013104, AIP Publishing, 2024, doi:10.1063/5.0172287.
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| Files available
| DOI
| arXiv
2024 | Journal Article | LibreCat-ID: 53101 |
Leyendecker, Sigrid, et al. “A New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” Journal of Computational Dynamics, vol. 0, no. 0, American Institute of Mathematical Sciences (AIMS), 2024, pp. 0–0, doi:10.3934/jcd.2024017.
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2023 | Conference Paper | LibreCat-ID: 42163 |
Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for Variational PDEs from Data and Detection of Travelling Waves.” Geometric Science of Information, edited by F Nielsen and F Barbaresco, vol. 14071, Springer, Cham., 2023, pp. 569–79, doi:10.1007/978-3-031-38271-0_57.
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| Files available
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| arXiv
2023 | Journal Article | LibreCat-ID: 29240 |
Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange Dynamics from Data.” Journal of Computational and Applied Mathematics, vol. 421, Elsevier, 2023, p. 114780, doi:10.1016/j.cam.2022.114780.
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| Files available
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 37654 |
Dierkes, Eva, et al. “Hamiltonian Neural Networks with Automatic Symmetry Detection.” Chaos, vol. 33, no. 6, 063115, AIP Publishing, 2023, doi:10.1063/5.0142969.
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| Files available
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 21600
Dellnitz, Michael, et al. “Efficient Time Stepping for Numerical Integration Using Reinforcement Learning.” SIAM Journal on Scientific Computing, vol. 45, no. 2, 2023, pp. A579–95, doi:10.1137/21M1412682.
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| arXiv
2023 | Report | LibreCat-ID: 47147
Lishkova, Yana, et al. 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
Lishkova, Y., et al. Variational Approach for Modelling and Optimal Control of Electrodynamic Tether Motion. Accepted for the 74th International Astronautical Concress (IAC), 2023.
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2023 | Conference Paper | LibreCat-ID: 34135 |
Lishkova, Yana, et al. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.” IFAC-PapersOnLine, vol. 56, no. 2, Elsevier, 2023, pp. 3203–10, doi:10.1016/j.ifacol.2023.10.1457.
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| arXiv
2022 | Journal Article | LibreCat-ID: 30490
Cresson, Jacky, et al. “Continuous and Discrete Noether’s Fractional Conserved Quantities for Restricted Calculus of Variations.” AIMS, vol. 14(1), 2022, pp. 57–89.
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2022 | Journal Article | LibreCat-ID: 44624
Faulwasser, Timm, et al. “Manifold Turnpikes, Trims, and Symmetries.” Mathematics of Control, Signals, and Systems, vol. 34, Springer, 2022, pp. 759–88.
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2022 | Journal Article | LibreCat-ID: 23382 |
Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32(1), AIP, 2022, doi:10.1063/5.0065913.
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| arXiv
2022 | Conference Paper | LibreCat-ID: 30733
Vertovec, Nikolaus, et al. Verification of Safety Critical Control Policies Using Kernel Methods. 2022, pp. 1870–75.
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2021 | Conference Paper | LibreCat-ID: 29421
Ober-Blöbaum, Sina, and M. Vermeeren. “Superconvergence of Galerkin Variational Integrators.” 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, edited by IFAC-PapersOnLine, vol. 54(19), 2021, pp. 327–33.
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2021 | Journal Article | LibreCat-ID: 16294 |
Ober-Blöbaum, Sina, and Sebastian Peitz. “Explicit Multiobjective Model Predictive Control for Nonlinear Systems with Symmetries.” International Journal of Robust and Nonlinear Control, vol. 31(2), 2021, pp. 380–403, doi:10.1002/rnc.5281.
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2021 | Conference Paper | LibreCat-ID: 47146
Lishkova, Y., et al. A Multirate Variational Approach to Nonlinear MPC. European Control Conference (ECC), IEEE, 2021.
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2021 | Conference Paper | LibreCat-ID: 22894 |
Offen, Christian, and Sina Ober-Blöbaum. Bifurcation Preserving Discretisations of Optimal Control Problems. 2021, pp. 334–39, doi:https://doi.org/10.1016/j.ifacol.2021.11.099.
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| arXiv
2021 | Conference Paper | LibreCat-ID: 21572
Ridderbusch, Steffen, et al. “Learning ODE Models with Qualitative Structure Using Gaussian Processes .” 2021 60th IEEE Conference on Decision and Control (CDC), IEEE, 2021, p. 2896, doi:10.1109/CDC45484.2021.9683426.
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| Files available
| DOI
| arXiv
2021 | Conference Paper | LibreCat-ID: 29868
Jiménez, F., and Sina Ober-Blöbaum. “Fractional Damping Through Restricted Calculus of Variations.” Nichtlineare Sci 31, vol. 46, 2021.
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2020 | Journal Article | LibreCat-ID: 29399
Limebeer, D. J. N., et al. “Variational Integrators for Dissipative Systems.” IEEE Transactions on Automatic Control, vol. 65(4), 2020, pp. 1381–96.
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2020 | Journal Article | LibreCat-ID: 16297
Hernández Castellanos, Carlos Ignacio, et al. “Explicit Multi-Objective Model Predictive Control for Nonlinear Systems Under Uncertainty.” International Journal of Robust and Nonlinear Control, vol. 30(17), 2020, pp. 7593–618, doi:10.1002/rnc.5197.
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2020 | Journal Article | LibreCat-ID: 29398
Hernández Castellanos, C. I. O., et al. “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
Lishkova, Y., et al. “A Multirate Variational Approach to Simulation and Optimal Control for Flexible Spacecraft.” Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe, 2020.
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2020 | Conference Paper | LibreCat-ID: 29423
Faulwasser, T., et al. “A Dissipativity Characterization of Velocity Turnpikes in Optimal Control Problems for Mechanical Systems.” 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
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2020 | Conference Paper | LibreCat-ID: 29424
Cresson, J., et al. “Modelling of the Convection-Diffusion Equation through Fractional Restricted Calculus of Variations.” 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
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2020 | Book Chapter | LibreCat-ID: 29413
Flaßkamp, K., et al. “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach.” Advances in Dynamics, Optimization and Computation, edited by Oliver Junge et al., Springer International Publishing, 2020, pp. 209–37.
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2019 | Journal Article | LibreCat-ID: 19993
Flaßkamp, Kathrin, et al. “Symmetry and Motion Primitives in Model Predictive Control.” MCSS, vol. 31, 2019, pp. 455–85.
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2019 | Conference Paper | LibreCat-ID: 29867
Faulwasser, Tim, et al. Towards Velocity Turnpikes in Optimal Control of Mechanical Systems. Edited by IFAC-PapersOnLine, vol. 52(16), 2019, pp. 490–95.
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2018 | Journal Article | LibreCat-ID: 8753
Peitz, Sebastian, et al. “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling.” Acta Applicandae Mathematicae, vol. 161, no. 1, 2018, pp. 171–199, doi:10.1007/s10440-018-0209-7.
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2018 | Journal Article | LibreCat-ID: 20112
Reniers, J. M., et al. “Improving Optimal Control of Grid-Connected Lithium-Ion Batteries through More Accurate Battery and Degradation Modelling.” Journal of Power Sources, vol. 379, 2018, pp. 91–102, doi:https://doi.org/10.1016/j.jpowsour.2018.01.004.
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2018 | Conference Paper | LibreCat-ID: 29425
Jiménez, F., and Sina Ober-Blöbaum. “Necessary Optimality Conditions for Optimally Controlled Dissipative Mechanical Systems Modelled through Fractional Derivatives.” 6th European Conference on Computational Mechanics, 2018.
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2018 | Conference Paper | LibreCat-ID: 29427
Jiménez, F., and Sina Ober-Blöbaum. “A Fractional Variational Approach for Modelling Dissipative Mechanical Systems Continuous and Discrete Settings.” 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, edited by IFAC-PapersOnLine, vol. 51(3), 2018, pp. 50–55.
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2017 | Conference Paper | LibreCat-ID: 5914
Dellnitz, Michael, et al. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.” Progress in Industrial Mathematics at ECMI 2014 , Springer International Publishing, 2017, pp. 633–41, doi:10.1007/978-3-319-23413-7_87.
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2017 | Journal Article | LibreCat-ID: 20061
Mergel, J. C., et al. “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), 2017, pp. 433–57, doi:10.1002/zamm.201600062.
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2017 | Journal Article | LibreCat-ID: 20091
Wenger, T., et al. “Construction and Analysis of Higher Order Variational Integrators for Dynamical Systems with Holonomic Constraints.” Advances in Computational Mathematics, vol. 43(5), 2017, pp. 1163–95, doi:10.1007/s10444-017-9520-5.
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2017 | Journal Article | LibreCat-ID: 20059
Ober-Blöbaum, Sina. “Galerkin Variational Integrators and Modified Symplectic Runge-Kutta Methods.” IMA Journal of Numerical Analysis, vol. 37(1), 2017, pp. 375–406, doi:10.1093/imanum/drv062.
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2017 | Journal Article | LibreCat-ID: 20093
Stellato, B., et al. “Second-Order Switching Time Optimization for Switched Dynamical Systems.” IEEE Transactions on Automatic Control, vol. 62(10), 2017, pp. 5407–14.
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2017 | Journal Article | LibreCat-ID: 8756
Peitz, Sebastian, et al. “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, 2017, pp. 8674–79, doi:10.1016/j.ifacol.2017.08.1526.
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2017 | Conference Paper | LibreCat-ID: 29430
Gail, T., et al. “Variational Multirate Integration in Discrete Mechanics and Optimal Control.” ECCOMAS Thematic Conference on Multibody Dynamics, 2017.
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2017 | Journal Article | LibreCat-ID: 20106
Wenger, T., et al. “Variational Integrators of Mixed Order for Constrained and Unconstrained Systems Acting on Multiple Time Scales.” PAMM, vol. 17, no. 1, WILEY-VCH Verlag, 2017, doi:10.1002/pamm.201710057.
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2016 | Journal Article | LibreCat-ID: 20060
Ringkamp, M., et al. “On the Time Transformation of Mixed Integer Optimal Control Problems Using a Consistent Fixed Integer Control Function.” Mathematical Programming, 2016, pp. 1–31, doi:10.1007/s10107-016-1023-5.
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2016 | Conference Paper | LibreCat-ID: 8758
Eckstein, Julian, et al. “A Comparison of Two Predictive Approaches to Control the Longitudinal Dynamics of Electric Vehicles.” Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering, vol. 26, 2016, pp. 465–72, doi:10.1016/j.protcy.2016.08.059.
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2016 | Conference Paper | LibreCat-ID: 29435
Wenger, T., et al. “Variational Integrators of Mixed Order for Dynamical Systems with Multiple Time Scales and Split Potentials.” ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, 2016, pp. 1818–31.
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2016 | Conference Paper | LibreCat-ID: 29432
Wenger, T., et al. “Constrained Galerkin Variational Integrators and Modified Constrained Symplectic Runge-Kutta Methods.” International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), 2016.
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2016 | Conference Paper | LibreCat-ID: 29433
Peitz, Sebastian, et al. “Reduced Order Model Based Multiobjective Optimal Control of Fluids.” Proceedings of International Congress of Theoretical and Applied Mechanics, 2016.
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2016 | Conference Paper | LibreCat-ID: 29436
Stellato, B., et al. “Optimal Control of Switching Times in Switched Linear Systems.” 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, pp. 7228–33.
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2016 | Journal Article | LibreCat-ID: 20101
Wenger, T., et al. “Variational Integrators of Higher Order for Constrained Dynamical Systems.” PAMM, vol. 16(1), WILEY-VCH Verlag, 2016, pp. 775–76, doi:10.1002/pamm.201610376.
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2016 | Journal Article | LibreCat-ID: 20105
Mergel, J. C., et al. “C1-Continuous Time Integration Based on Cubic Hermite Interpolation.” PAMM, vol. 16(1), WILEY-VCH Verlag, 2016, pp. 753–54, doi:10.1002/pamm.201610365.
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2016 | Journal Article | LibreCat-ID: 20103
Ringkamp, M., et al. “Time Transformed Mixed Integer Optimal Control Problems with Impacts.” PAMM, vol. 16(1), WILEY-VCH Verlag, 2016, pp. 789–90, doi:10.1002/pamm.201610383.
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2016 | Journal Article | LibreCat-ID: 20104
Ober-Blöbaum, Sina. “Higher Order Variational Integrators in Optimal Control Theory.” PAMM, vol. 16(1), WILEY-VCH Verlag, 2016, pp. 821–22, doi:10.1002/pamm.201610399.
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2016 | Conference Paper | LibreCat-ID: 20097
Ober-Blöbaum, Sina. “On Higher Order Variational Integrators and Their Relation to Runge-Kutta Methods.” International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), 2016.
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2015 | Journal Article | LibreCat-ID: 29402
Flaßkamp, K., et al. “Symmetry Exploiting Control of Hybrid Mechanical Systems.” Journal of Computational Dynamics, vol. 2(1), 2015, pp. 25–50.
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2015 | Journal Article | LibreCat-ID: 20057
Demoures, F., et al. “Discrete Variational Lie Group Formulation of Geometrically Exact Beam Dynamics.” Numerische Mathematik, vol. 130(1), Springer Berlin Heidelberg, 2015, pp. 73–123, doi:10.1007/s00211-014-0659-4.
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2015 | Journal Article | LibreCat-ID: 29403
Campos, C. M., et al. “High Order Variational Integrators in the Optimal Control of Mechanical Systems.” Discrete and Continuous Dynamical Systems, vol. 35(9), 2015, pp. 4193–223.
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2015 | Journal Article | LibreCat-ID: 20107
Ringkamp, M., et al. “Relaxing Mixed Integer Optimal Control Problems Using a Time Transformation.” Proceedings of Applied Mathematics and Mechanics, vol. 15(1), WILEY-VCH Verlag, 2015, pp. 27–30, doi:10.1002/pamm.201510008.
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2015 | Journal Article | LibreCat-ID: 20111
Ober-Blöbaum, Sina, and K. Padberg-Gehle. “Multiobjective Optimal Control of Fluid Mixing.” PAMM, vol. 15(1), WILEY-VCH Verlag, 2015, pp. 639–40, doi:10.1002/pamm.201510309.
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2014 | Book Chapter | LibreCat-ID: 25173
Dellnitz, Michael, et al. “Self-Optimizing Mechatronic Systems.” Dependability of Self-Optimizing Mechatronic Systems, Kapitel: 1.1, Springer-Verlag, 2014, pp. 3–12.
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2014 | Book Chapter | LibreCat-ID: 25177
Flaßkamp, Kathrin, et al. “Development of the RailCab Vehicle.” Dependability of Self-Optimizing Mechatronic Systems, Springer-Verlag , 2014, pp. 184–90.
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2014 | Book Chapter | LibreCat-ID: 23109
Flaßkamp, Kathrin, et al. “Verification for Interacting Mechatronic Systems with Motion Profiles.” Dependability of Self-Optimizing Mechatronic Systems, Springer-Verlag, Heidelberg, Germany, 2014, pp. 119–28.
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2014 | Journal Article | LibreCat-ID: 23110
Flaßkamp, Kathrin, et al. “Control Strategies on Stable Manifolds for Energyefficient Swing-Ups of Double Pendula.” International Journal of Control, vol. DOI: 10.1080/00207179.2014.893450, 2014, pp. 1–20.
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2014 | Conference Paper | LibreCat-ID: 29440
Ober-Blöbaum, Sina, and H. Lindhorst. “Variational Formulation and Structure-Preserving Discretization of Nonlinear Electric Circuits.” 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
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2014 | Conference Paper | LibreCat-ID: 29438
Gail, T., et al. “On the Role of Quadrature Rules and System Dimensions in Variational Multirate Integrators.” 3rd Joint Interntaional Conference on Multibody System Dynamics , 2014.
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2014 | Journal Article | LibreCat-ID: 20072
Flaßkamp, K., et al. “Control Strategies on Stable Manifolds for Energy-Efficient Swing-Ups of Double Pendula.” International Journal of Control, vol. 87(9), 2014, pp. 1886–905, doi:10.1080/00207179.2014.893450.
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2014 | Journal Article | LibreCat-ID: 29404
Ober-Blöbaum, Sina, and N. Saake. “Construction and Analysis of Higher Order Galerkin Variational Integrators.” Advances in Computational Mathematics, 2014, pp. 1–32.
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2014 | Book Chapter | LibreCat-ID: 20080
Anacker, H., et al. “Methods for the Design and Development.” Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, Editors, Design Methodology for Intelligent Technical Systems, Springer Berlin Heidelberg, 2014, pp. 183–350, doi:10.1007/978-3-642-45435-6_5.
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2014 | Book Chapter | LibreCat-ID: 29417
Dangelmeier, W., et al. “Dependability of Self-Optimizing Mechatronic Systems.” Lecture Notes in Mechanical Engineering, Springer, 2014.
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2014 | Book Chapter | LibreCat-ID: 29416
Dellnitz, M., et al. “The Paradigm of Self-Optimization.” Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, Editors, Design Methodology for Intelligent Technical Systems, Springer, 2014, pp. 1–25.
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2014 | Book Chapter | LibreCat-ID: 29414
Leitz, T., et al. “Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration.” Zdravko Terze, Multibody Dynamics, vol. 35, Springer International Publishing, 2014, pp. 175–203.
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2014 | Journal Article | LibreCat-ID: 20071
Dellnitz, M., et al. “Development of an Intelligent Cruise Control Using Optimal Control Methods .” SysInt 2014 Proceedings, vol. 15, no. 0, 2014, pp. 285–94, doi:http://dx.doi.org/10.1016/j.protcy.2014.09.082.
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2014 | Conference Paper | LibreCat-ID: 20087
Leitz, T., et al. “Variational Integrators for Dynamical Systems with Rotational Degrees of Freedom.” 11th World Congress on Computational Mechanics, 2014.
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2014 | Conference Paper | LibreCat-ID: 20070
Dellnitz, M., et al. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.” ECMI 2014 Proceedings, 2014.
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2013 | Book Chapter | LibreCat-ID: 25743
Anacker, Harald, et al. “Methods for the Design and Development.” Design Methodology for Intelligent Technical Systems Systems – Develop Intelligent Technical Systems of the Future, Springer-Verlag, 2013, pp. 187–356.
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2013 | Conference Paper | LibreCat-ID: 29603
Specht, Andreas, et al. “Discrete-Time Model of an IPMSM Based on Variational Integrators.” Electric Machines & Drives Conference (IEMDC), 2013 IEEE International, 2013, pp. 1411–1417.
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2013 | Conference Paper | LibreCat-ID: 29491
Gail, T., et al. “Computing Time Investigations for Variational Multirate Integration.” Proceedings of Applied Mathematics and Mechanics, vol. 13(1), 2013, pp. 43–44.
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2013 | Book Chapter | LibreCat-ID: 29419
Schütze, O., et al. “Set Oriented Methods for the Numerical Treatment of Multi-Objective Optimization Problems.” EVOLVE - A Bridge Between Probability, Set Oriented Numerics, and Evolutionary Computation, Springer, 2013, pp. 187–219.
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2013 | Journal Article | LibreCat-ID: 20032
Ober-Blöbaum, Sina, et al. “Variational Integrators for Electric Circuits.” Journal of Computational Physics, vol. 242, 2013, pp. 498–530, doi:10.1016/j.jcp.2013.02.006.
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2013 | Journal Article | LibreCat-ID: 29406
Witting, K., et al. “A Variational Approach to Define Robustness for Parametric Multiobjective Optimization Problems.” Journal of Global Optimization, vol. 57(2), 2013, pp. 331–45.
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2013 | Book Chapter | LibreCat-ID: 29418
Leyendecker, S., and Sina Ober-Blöbaum. “A Variational Approach to Multirate Integration for Constrained Systems.” Jean-Claude Samin and Paul Fisette, Editors, Multibody Dynamics, vol. 28, Springer, 2013, pp. 97–121.
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2013 | Conference Paper | LibreCat-ID: 29441
Flaßkamp, K., et al. “Optimal Control of a Switched Reluctance Drive by a Direct Method Using a Discrete Variational Principle.” 52nd IEEE International Conference on Decision and Control , 2013, pp. 7467–72.
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2013 | Conference Paper | LibreCat-ID: 29443
Ober-Blöbaum, Sina, and A. Seifried. “A Multiobjective Optimization Approach for Optimal Control Problems of Mechanical Systems with Uncertainties.” European Control Conference, 2013, pp. 204–09.
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2013 | Conference Paper | LibreCat-ID: 29442
Flaßkamp, K., et al. “Discretized Switching Time Optimization Problems.” European Control Conference, 2013, pp. 3179–84.
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2013 | Conference Paper | LibreCat-ID: 20028
Flaßkamp, K., and Sina Ober-Blöbaum. “Optimale Steuerungsstrategien Für Selbstoptimierende Mechatronische Systeme Mit Mehreren Zielkriterien.” 9. Paderborner Workshop Entwurf Mechatronischer Systeme, Heinz Nixdorf Institut Verlagsschriftreihe, 2013, pp. 65–78.
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2013 | Conference Paper | LibreCat-ID: 20029
Heinzemann, C., et al. “Sichere Konvoibildung Mit Hilfe Optimaler Bremsprofile.” 9. Paderborner Workshop Entwurf Mechatronischer Systeme, Heinz Nixdorf Institut Verlagsschriftreihe, 2013, pp. 177–90.
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2013 | Conference Paper | LibreCat-ID: 29447
Specht, A., et al. “Discretetime Model of an IPMSM Based on Variational Integrators.” IEEE International Electric Machines & Drives Conference (IEMDC), 2013, pp. 1411–17.
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2013 | Conference Paper | LibreCat-ID: 29446
Ringkamp, M., et al. “A Numerical Approach to Multiobjective Optimal Control of Multibody Dynamics.” ECCOMAS Thematic Conference on Multibody Dynamics, 2013.
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2013 | Conference Paper | LibreCat-ID: 29444
Demoures, F., et al. “Asynchronous Variational Lie Group Integration for Geometrically Exact Beam Dynamics.” Proceedings of Applied Mathematics and Mechanics, vol. 13(1), 2013, pp. 45–46.
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2013 | Conference Paper | LibreCat-ID: 29492
Ringkamp, M., et al. “Multiobjective Optimal Control of a Four-Body Kinematic Chain.” Proceedings of Applied Mathematics and Mechanics, vol. 13(1), 2013, pp. 27–28.
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2013 | Conference Paper | LibreCat-ID: 29445
Gail, T., et al. “Computing Time Investigations of Variational Multirate Systems.” Proceedings of Applied Mathematics and Mechanics, vol. 13(1), 2013, pp. 43–44.
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2013 | Conference Paper | LibreCat-ID: 29490
Flaßkamp, K., et al. “Optimization for Discretized Switched Systems.” Proceedings of Applied Mathematics and Mechanics, vol. 13(1), 2013, pp. 401–02.
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2012 | Conference Paper | LibreCat-ID: 29452
Ober-Blöbaum, Sina, et al. “Solving Multiobjective Optimal Control Problems in Space Mission Design Using Discrete Mechanics and Reference Point Techniques.” 51st IEEE International Conference on Decision and Control, 2012, pp. 5711–16.
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2012 | Journal Article | LibreCat-ID: 29409
Ringkamp, M., et al. “Handling High Dimensional Problems with Multi-Objective Continuation Methods via Successive Approximation of the Tangent Space.” Engineering Optimization, vol. 44(6), 2012, pp. 1117–46.
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2012 | Journal Article | LibreCat-ID: 29407
Moore, A., et al. “Trajectory Design Combining Invariant Manifolds with Discrete Mechanics and Optimal Control.” Journal of Guidance, Control, and Dynamics, vol. 35(5), 2012, pp. 1507–25.
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2012 | Journal Article | LibreCat-ID: 29408
Flaßkamp, K., et al. “Solving Optimal Control Problems by Exploiting Inherent Dynamical Systems Structures.” Journal of Nonlinear Science, vol. 22(4), 2012, pp. 599–629.
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2012 | Conference Paper | LibreCat-ID: 29451
Flaßkamp, K., et al. “Switching Time Optimization in Discretized Hybrid Dynamical Systems.” 51st IEEE International Conference on Decision and Control, 2012, pp. 707–12.
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2012 | Conference Paper | LibreCat-ID: 29450
Flaßkamp, K., and Sina Ober-Blöbaum. “Motion Planning for Mechanical Systems with Hybrid Dynamics.” Progress in Industrial Mathematics at ECMI 2012, Mathematics in Industry (To Appear), Springer, 2012.
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2012 | Conference Paper | LibreCat-ID: 29453
Campos, C. M., et al. “Higher Order Variational Time Discretization of Optimal Control Problems.” 20th International Symposium on Mathematical Theory of Networks and Systems, 2012.
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2012 | Conference Paper | LibreCat-ID: 29454
Flaßkamp, K., and Sina Ober-Blöbaum. “Energy Efficient Control for Mechanical Systems Based on Inherent Dynamical Structures.” American Control Conference, 2012, pp. 2609–14.
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2012 | Conference Paper | LibreCat-ID: 23161
Flaßkamp, Kathrin, et al. “Optimal Control on Stable Manifolds for a Double Pendulum.” Proceedings in Applied Mathematics and Mechanics, vol. 12(1), 2012, pp. 723–24.
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2011 | Conference Paper | LibreCat-ID: 29457
Ober-Blöbaum, Sina. “Discrete Mechanics and Optimal Control: Structure Preserving Integration for the Optimal Control of Mechanical Systems.” Proceedings of Oberwolfach Reports “‘Geometric Numerical Integration,’” 2011.
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2011 | Conference Paper | LibreCat-ID: 29455
Leyendecker, S., and Sina Ober-Blöbaum. “A Variational Approach to Multirate Integration for Constrained Systems.” Proceedings of Oberwolfach Reports “‘Applied Dynamics and Geometric Mechanics,’” 2011.
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2011 | Journal Article | LibreCat-ID: 29410
Ober-Blöbaum, Sina, et al. “Discrete Mechanics and Optimal Control: An Analysis.” Control, Optimisation and Calculus of Variations, vol. 17(2), 2011, pp. 322–52.
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2011 | Conference Paper | LibreCat-ID: 29456
Leyendecker, S., and Sina Ober-Blöbaum. “A Variational Approach to Multirate Integration for Constrained Systems.” Paul Fisette and Jean-Claude Samin, Editors, ECCOMAS Thematic Conference: Multibody Dynamics: Computational Methods and Applications, 2011.
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2011 | Conference Paper | LibreCat-ID: 23180
Timmermann, Julia, et al. “Discrete Mechanics and Optimal Control and Its Application to a Double Pendulum on a Cart.” 18th IFAC World Congress 2011, 2011.
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2011 | Conference Paper | LibreCat-ID: 29458
Flaßkamp, K., et al. “Berechnung Optimaler Stromprofile Für Einen 6-Phasigen, Geschalteten Reluktanzantrieb.” 8. Paderborner Workshop Entwurf Mechatronischer Systeme, Heinz Nixdorf Institut Verlagsschriftreihe, 2011.
LibreCat
2011 | Conference Paper | LibreCat-ID: 20012
Flaßkamp, K., and Sina Ober-Blöbaum. “Variational Formulation and Optimal Control of Hybrid Lagrangian Systems.” HSCC ’11: 14th International Conference on Hybrid Systems: Computation and Control, ACM, 2011, pp. 241–50.
LibreCat
2011 | Conference Paper | LibreCat-ID: 29493
Leyendecker, S., and Sina Ober-Blöbaum. “Variational Multirate Integration of Constrained Dynamics.” Proceedings of Applied Mathematics and Mechanics, vol. 11(1), 2011, pp. 53–54.
LibreCat
2011 | Conference Paper | LibreCat-ID: 29494
Ober-Blöbaum, Sina, et al. “Variational Integrators for Electric Circuits.” Proceedings of Applied Mathematics and Mechanics, vol. 11(1), 2011, pp. 783–84.
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2011 | Conference Paper | LibreCat-ID: 29464
Moore, A., et al. “Mesh Refinement Strategies for Spacecraft Trajectory Optimization Using Discrete Mechanics and Optimal Control.” 21st AAS/AIAA Space Flight Mechanics Meeting, 2011.
LibreCat
2010 | Journal Article | LibreCat-ID: 29411
Leyendecker, S., et al. “Discrete Mechanics and Optimal Control for Constrained Systems.” Optimal Control, Applications and Methods, vol. 31(6), 2010, pp. 505–28.
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2010 | Conference Paper | LibreCat-ID: 29468
Moore, A., et al. “The Effect of Mesh Refinement on Spacecraft Trajectory Design Using Descrete Mechanics and Optimal Control.” 4th European Conference on Computational Mechanics , 2010.
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2010 | Conference Paper | LibreCat-ID: 29467
Thiere, B., et al. “Detecting Initial Guesses for Trajectories in the (P)CRTBP.” AIAA/AAS Astrodynamics Specialist Conference, 2010.
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2010 | Conference Paper | LibreCat-ID: 20023
Leyendecker, S., and Sina Ober-Blöbaum. “A Variational Approach to Multirate Integration.” 4th European Conference on Computational Mechanics, 2010.
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2010 | Conference Paper | LibreCat-ID: 29496
Ober-Blöbaum, Sina, and A. Walther. “Computation of Derivatives for Structure Preserving Optimal Control Using Automatic Differentiation.” Proceedings of Applied Mathematics and Mechanics, vol. 10(1), 2010, pp. 585–86.
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2010 | Conference Paper | LibreCat-ID: 29495
Flaßkamp, K., et al. “Solving Optimal Control Problems by Using Inherent Dynamical Properties.” Proceedings of Applied Mathematics and Mechanics, vol. 10(1), 2010, pp. 577–78.
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2009 | Journal Article | LibreCat-ID: 29412
Dellnitz, M., et al. “A Multi-Objective Approach to the Design of Low Thrust Space Trajectories Using Optimal Control.” Celestial Mechanics and Dynamical Astronomy, vol. 105, 2009, pp. 33–59.
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2009 | Conference Paper | LibreCat-ID: 29470
Nair, S., et al. “The Jacobi-Maupertuis Principle in Variational Integrators.” 7th International Conference of Numerical Analysis and Applied Mathematics, 2009, pp. 464–66.
LibreCat
2009 | Conference Paper | LibreCat-ID: 23237
Ober-Blöbaum, Sina, and Julia Timmermann. “Optimal Control for a Pitcher’s Motion Modeled as Constrained Mechanical System.” 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Contro, ASME International Design Engineering Technical Conferences , ASME, 2009.
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2009 | Conference Paper | LibreCat-ID: 29471
Gehler, M., et al. “Application of Discrete Mechanics and Optimal Control to Spacecraft in Non-Keplerian Motion around Small Solar Systems.” Procceedings of the 60th International Astronautical Congress, 2009.
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2009 | Conference Paper | LibreCat-ID: 29473
Moore, A., et al. “Optimization of Spacecraft Trajectories: A Method Combining Invariant Manifold Techniques and Descrete Mechanics and Optimal .” 19th AAS/AIAA Space Flight Mechanics Meeting, 2009.
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2009 | Conference Paper | LibreCat-ID: 29472
Gehler, M., et al. “Optimal Control of Gravity Tractor Spacecraft near Arbitrarily Shaped Asteroids.” 1st IAA Planetary Defense Conference: Protecting Earth from Asteroids, 2009.
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2008 | Conference Paper | LibreCat-ID: 29474
Zhang, W., et al. “Optimal Trajectory Generation for a Dynamic Glider in Ocean Flows Modeled by 3d B-Spline Functions.” IEEE International Conference on Robotics and Automation, 2008.
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2007 | Conference Paper | LibreCat-ID: 20021
Leyendecker, S., et al. “Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics.” 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, ASME International Design Engineering Technical Conferences, vol. 5, 2007, pp. 623–32.
LibreCat
2006 | Book Chapter | LibreCat-ID: 20056
Dellnitz, M., et al. “Efficient Control of Formation Flying Spacecraft.” Friedhelm Meyer Auf Der Heide and Burkhard Monien, Editors, New Trends in Parallel & Distributed Computing, vol. 181, Heinz Nixdorf Institut Verlagsschriftreihe, 2006, pp. 235–47.
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2006 | Conference Paper | LibreCat-ID: 29488
Junge, O., et al. “Optimal Reconfiguration of Formation Flying Spacecraft - a Decentralized Approach.” 45th IEEE Conference on Decision and Control, 2006, pp. 5210–15.
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2005 | Conference Paper | LibreCat-ID: 20017
Junge, O., and Sina Ober-Blöbaum. “Optimal Reconfiguration of Formation Flying Satellites.” 44th IEEE Conference on Decision and Control, 2005.
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2005 | Conference Paper | LibreCat-ID: 20020
Junge, O., et al. “Discrete Mechanics and Optimal Control.” 16th IFAC World Congress, 2005.
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127 Publications
2024 | Journal Article | LibreCat-ID: 46469 |
Offen, Christian, and Sina Ober-Blöbaum. “Learning of Discrete Models of Variational PDEs from Data.” Chaos, vol. 34, no. 1, 013104, AIP Publishing, 2024, doi:10.1063/5.0172287.
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| Files available
| DOI
| arXiv
2024 | Journal Article | LibreCat-ID: 53101 |
Leyendecker, Sigrid, et al. “A New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” Journal of Computational Dynamics, vol. 0, no. 0, American Institute of Mathematical Sciences (AIMS), 2024, pp. 0–0, doi:10.3934/jcd.2024017.
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| DOI
| Download (ext.)
2023 | Conference Paper | LibreCat-ID: 42163 |
Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for Variational PDEs from Data and Detection of Travelling Waves.” Geometric Science of Information, edited by F Nielsen and F Barbaresco, vol. 14071, Springer, Cham., 2023, pp. 569–79, doi:10.1007/978-3-031-38271-0_57.
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| Files available
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 29240 |
Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange Dynamics from Data.” Journal of Computational and Applied Mathematics, vol. 421, Elsevier, 2023, p. 114780, doi:10.1016/j.cam.2022.114780.
LibreCat
| Files available
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 37654 |
Dierkes, Eva, et al. “Hamiltonian Neural Networks with Automatic Symmetry Detection.” Chaos, vol. 33, no. 6, 063115, AIP Publishing, 2023, doi:10.1063/5.0142969.
LibreCat
| Files available
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 21600
Dellnitz, Michael, et al. “Efficient Time Stepping for Numerical Integration Using Reinforcement Learning.” SIAM Journal on Scientific Computing, vol. 45, no. 2, 2023, pp. A579–95, doi:10.1137/21M1412682.
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| Files available
| DOI
| Download (ext.)
| arXiv
2023 | Report | LibreCat-ID: 47147
Lishkova, Yana, et al. 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
Lishkova, Y., et al. Variational Approach for Modelling and Optimal Control of Electrodynamic Tether Motion. Accepted for the 74th International Astronautical Concress (IAC), 2023.
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2023 | Conference Paper | LibreCat-ID: 34135 |
Lishkova, Yana, et al. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.” IFAC-PapersOnLine, vol. 56, no. 2, Elsevier, 2023, pp. 3203–10, doi:10.1016/j.ifacol.2023.10.1457.
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| Files available
| DOI
| Download (ext.)
| arXiv
2022 | Journal Article | LibreCat-ID: 30490
Cresson, Jacky, et al. “Continuous and Discrete Noether’s Fractional Conserved Quantities for Restricted Calculus of Variations.” AIMS, vol. 14(1), 2022, pp. 57–89.
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2022 | Journal Article | LibreCat-ID: 44624
Faulwasser, Timm, et al. “Manifold Turnpikes, Trims, and Symmetries.” Mathematics of Control, Signals, and Systems, vol. 34, Springer, 2022, pp. 759–88.
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2022 | Journal Article | LibreCat-ID: 23382 |
Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32(1), AIP, 2022, doi:10.1063/5.0065913.
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| Files available
| DOI
| Download (ext.)
| arXiv
2022 | Conference Paper | LibreCat-ID: 30733
Vertovec, Nikolaus, et al. Verification of Safety Critical Control Policies Using Kernel Methods. 2022, pp. 1870–75.
LibreCat
2021 | Conference Paper | LibreCat-ID: 29421
Ober-Blöbaum, Sina, and M. Vermeeren. “Superconvergence of Galerkin Variational Integrators.” 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, edited by IFAC-PapersOnLine, vol. 54(19), 2021, pp. 327–33.
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2021 | Journal Article | LibreCat-ID: 16294 |
Ober-Blöbaum, Sina, and Sebastian Peitz. “Explicit Multiobjective Model Predictive Control for Nonlinear Systems with Symmetries.” International Journal of Robust and Nonlinear Control, vol. 31(2), 2021, pp. 380–403, doi:10.1002/rnc.5281.
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| DOI
| Download (ext.)
2021 | Conference Paper | LibreCat-ID: 47146
Lishkova, Y., et al. A Multirate Variational Approach to Nonlinear MPC. European Control Conference (ECC), IEEE, 2021.
LibreCat
2021 | Conference Paper | LibreCat-ID: 22894 |
Offen, Christian, and Sina Ober-Blöbaum. Bifurcation Preserving Discretisations of Optimal Control Problems. 2021, pp. 334–39, 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
Ridderbusch, Steffen, et al. “Learning ODE Models with Qualitative Structure Using Gaussian Processes .” 2021 60th IEEE Conference on Decision and Control (CDC), IEEE, 2021, p. 2896, doi:10.1109/CDC45484.2021.9683426.
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| Files available
| DOI
| arXiv
2021 | Conference Paper | LibreCat-ID: 29868
Jiménez, F., and Sina Ober-Blöbaum. “Fractional Damping Through Restricted Calculus of Variations.” Nichtlineare Sci 31, vol. 46, 2021.
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2020 | Journal Article | LibreCat-ID: 29399
Limebeer, D. J. N., et al. “Variational Integrators for Dissipative Systems.” IEEE Transactions on Automatic Control, vol. 65(4), 2020, pp. 1381–96.
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2020 | Journal Article | LibreCat-ID: 16297
Hernández Castellanos, Carlos Ignacio, et al. “Explicit Multi-Objective Model Predictive Control for Nonlinear Systems Under Uncertainty.” International Journal of Robust and Nonlinear Control, vol. 30(17), 2020, pp. 7593–618, doi:10.1002/rnc.5197.
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| DOI
2020 | Journal Article | LibreCat-ID: 29398
Hernández Castellanos, C. I. O., et al. “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
Lishkova, Y., et al. “A Multirate Variational Approach to Simulation and Optimal Control for Flexible Spacecraft.” Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe, 2020.
LibreCat
2020 | Conference Paper | LibreCat-ID: 29423
Faulwasser, T., et al. “A Dissipativity Characterization of Velocity Turnpikes in Optimal Control Problems for Mechanical Systems.” 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
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2020 | Conference Paper | LibreCat-ID: 29424
Cresson, J., et al. “Modelling of the Convection-Diffusion Equation through Fractional Restricted Calculus of Variations.” 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
LibreCat
2020 | Book Chapter | LibreCat-ID: 29413
Flaßkamp, K., et al. “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach.” Advances in Dynamics, Optimization and Computation, edited by Oliver Junge et al., Springer International Publishing, 2020, pp. 209–37.
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2019 | Journal Article | LibreCat-ID: 19993
Flaßkamp, Kathrin, et al. “Symmetry and Motion Primitives in Model Predictive Control.” MCSS, vol. 31, 2019, pp. 455–85.
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2019 | Conference Paper | LibreCat-ID: 29867
Faulwasser, Tim, et al. Towards Velocity Turnpikes in Optimal Control of Mechanical Systems. Edited by IFAC-PapersOnLine, vol. 52(16), 2019, pp. 490–95.
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2018 | Journal Article | LibreCat-ID: 8753
Peitz, Sebastian, et al. “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling.” Acta Applicandae Mathematicae, vol. 161, no. 1, 2018, pp. 171–199, doi:10.1007/s10440-018-0209-7.
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| DOI
2018 | Journal Article | LibreCat-ID: 20112
Reniers, J. M., et al. “Improving Optimal Control of Grid-Connected Lithium-Ion Batteries through More Accurate Battery and Degradation Modelling.” Journal of Power Sources, vol. 379, 2018, pp. 91–102, doi:https://doi.org/10.1016/j.jpowsour.2018.01.004.
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| DOI
2018 | Conference Paper | LibreCat-ID: 29425
Jiménez, F., and Sina Ober-Blöbaum. “Necessary Optimality Conditions for Optimally Controlled Dissipative Mechanical Systems Modelled through Fractional Derivatives.” 6th European Conference on Computational Mechanics, 2018.
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2018 | Conference Paper | LibreCat-ID: 29427
Jiménez, F., and Sina Ober-Blöbaum. “A Fractional Variational Approach for Modelling Dissipative Mechanical Systems Continuous and Discrete Settings.” 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, edited by IFAC-PapersOnLine, vol. 51(3), 2018, pp. 50–55.
LibreCat
2017 | Conference Paper | LibreCat-ID: 5914
Dellnitz, Michael, et al. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.” Progress in Industrial Mathematics at ECMI 2014 , Springer International Publishing, 2017, pp. 633–41, doi:10.1007/978-3-319-23413-7_87.
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| DOI
2017 | Journal Article | LibreCat-ID: 20061
Mergel, J. C., et al. “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), 2017, pp. 433–57, doi:10.1002/zamm.201600062.
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| DOI
2017 | Journal Article | LibreCat-ID: 20091
Wenger, T., et al. “Construction and Analysis of Higher Order Variational Integrators for Dynamical Systems with Holonomic Constraints.” Advances in Computational Mathematics, vol. 43(5), 2017, pp. 1163–95, doi:10.1007/s10444-017-9520-5.
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| DOI
2017 | Journal Article | LibreCat-ID: 20059
Ober-Blöbaum, Sina. “Galerkin Variational Integrators and Modified Symplectic Runge-Kutta Methods.” IMA Journal of Numerical Analysis, vol. 37(1), 2017, pp. 375–406, doi:10.1093/imanum/drv062.
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| DOI
2017 | Journal Article | LibreCat-ID: 20093
Stellato, B., et al. “Second-Order Switching Time Optimization for Switched Dynamical Systems.” IEEE Transactions on Automatic Control, vol. 62(10), 2017, pp. 5407–14.
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2017 | Journal Article | LibreCat-ID: 8756
Peitz, Sebastian, et al. “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, 2017, pp. 8674–79, doi:10.1016/j.ifacol.2017.08.1526.
LibreCat
| DOI
2017 | Conference Paper | LibreCat-ID: 29430
Gail, T., et al. “Variational Multirate Integration in Discrete Mechanics and Optimal Control.” ECCOMAS Thematic Conference on Multibody Dynamics, 2017.
LibreCat
2017 | Journal Article | LibreCat-ID: 20106
Wenger, T., et al. “Variational Integrators of Mixed Order for Constrained and Unconstrained Systems Acting on Multiple Time Scales.” PAMM, vol. 17, no. 1, WILEY-VCH Verlag, 2017, doi:10.1002/pamm.201710057.
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| DOI
2016 | Journal Article | LibreCat-ID: 20060
Ringkamp, M., et al. “On the Time Transformation of Mixed Integer Optimal Control Problems Using a Consistent Fixed Integer Control Function.” Mathematical Programming, 2016, pp. 1–31, doi:10.1007/s10107-016-1023-5.
LibreCat
| DOI
2016 | Conference Paper | LibreCat-ID: 8758
Eckstein, Julian, et al. “A Comparison of Two Predictive Approaches to Control the Longitudinal Dynamics of Electric Vehicles.” Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering, vol. 26, 2016, pp. 465–72, doi:10.1016/j.protcy.2016.08.059.
LibreCat
| DOI
2016 | Conference Paper | LibreCat-ID: 29435
Wenger, T., et al. “Variational Integrators of Mixed Order for Dynamical Systems with Multiple Time Scales and Split Potentials.” ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, 2016, pp. 1818–31.
LibreCat
2016 | Conference Paper | LibreCat-ID: 29432
Wenger, T., et al. “Constrained Galerkin Variational Integrators and Modified Constrained Symplectic Runge-Kutta Methods.” International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), 2016.
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2016 | Conference Paper | LibreCat-ID: 29433
Peitz, Sebastian, et al. “Reduced Order Model Based Multiobjective Optimal Control of Fluids.” Proceedings of International Congress of Theoretical and Applied Mechanics, 2016.
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2016 | Conference Paper | LibreCat-ID: 29436
Stellato, B., et al. “Optimal Control of Switching Times in Switched Linear Systems.” 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, pp. 7228–33.
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2016 | Journal Article | LibreCat-ID: 20101
Wenger, T., et al. “Variational Integrators of Higher Order for Constrained Dynamical Systems.” PAMM, vol. 16(1), WILEY-VCH Verlag, 2016, pp. 775–76, doi:10.1002/pamm.201610376.
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 20105
Mergel, J. C., et al. “C1-Continuous Time Integration Based on Cubic Hermite Interpolation.” PAMM, vol. 16(1), WILEY-VCH Verlag, 2016, pp. 753–54, doi:10.1002/pamm.201610365.
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 20103
Ringkamp, M., et al. “Time Transformed Mixed Integer Optimal Control Problems with Impacts.” PAMM, vol. 16(1), WILEY-VCH Verlag, 2016, pp. 789–90, doi:10.1002/pamm.201610383.
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| DOI
2016 | Journal Article | LibreCat-ID: 20104
Ober-Blöbaum, Sina. “Higher Order Variational Integrators in Optimal Control Theory.” PAMM, vol. 16(1), WILEY-VCH Verlag, 2016, pp. 821–22, doi:10.1002/pamm.201610399.
LibreCat
| DOI
2016 | Conference Paper | LibreCat-ID: 20097
Ober-Blöbaum, Sina. “On Higher Order Variational Integrators and Their Relation to Runge-Kutta Methods.” International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), 2016.
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2015 | Journal Article | LibreCat-ID: 29402
Flaßkamp, K., et al. “Symmetry Exploiting Control of Hybrid Mechanical Systems.” Journal of Computational Dynamics, vol. 2(1), 2015, pp. 25–50.
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2015 | Journal Article | LibreCat-ID: 20057
Demoures, F., et al. “Discrete Variational Lie Group Formulation of Geometrically Exact Beam Dynamics.” Numerische Mathematik, vol. 130(1), Springer Berlin Heidelberg, 2015, pp. 73–123, doi:10.1007/s00211-014-0659-4.
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| DOI
2015 | Journal Article | LibreCat-ID: 29403
Campos, C. M., et al. “High Order Variational Integrators in the Optimal Control of Mechanical Systems.” Discrete and Continuous Dynamical Systems, vol. 35(9), 2015, pp. 4193–223.
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2015 | Journal Article | LibreCat-ID: 20107
Ringkamp, M., et al. “Relaxing Mixed Integer Optimal Control Problems Using a Time Transformation.” Proceedings of Applied Mathematics and Mechanics, vol. 15(1), WILEY-VCH Verlag, 2015, pp. 27–30, doi:10.1002/pamm.201510008.
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| DOI
2015 | Journal Article | LibreCat-ID: 20111
Ober-Blöbaum, Sina, and K. Padberg-Gehle. “Multiobjective Optimal Control of Fluid Mixing.” PAMM, vol. 15(1), WILEY-VCH Verlag, 2015, pp. 639–40, doi:10.1002/pamm.201510309.
LibreCat
| DOI
2014 | Book Chapter | LibreCat-ID: 25173
Dellnitz, Michael, et al. “Self-Optimizing Mechatronic Systems.” Dependability of Self-Optimizing Mechatronic Systems, Kapitel: 1.1, Springer-Verlag, 2014, pp. 3–12.
LibreCat
2014 | Book Chapter | LibreCat-ID: 25177
Flaßkamp, Kathrin, et al. “Development of the RailCab Vehicle.” Dependability of Self-Optimizing Mechatronic Systems, Springer-Verlag , 2014, pp. 184–90.
LibreCat
2014 | Book Chapter | LibreCat-ID: 23109
Flaßkamp, Kathrin, et al. “Verification for Interacting Mechatronic Systems with Motion Profiles.” Dependability of Self-Optimizing Mechatronic Systems, Springer-Verlag, Heidelberg, Germany, 2014, pp. 119–28.
LibreCat
2014 | Journal Article | LibreCat-ID: 23110
Flaßkamp, Kathrin, et al. “Control Strategies on Stable Manifolds for Energyefficient Swing-Ups of Double Pendula.” International Journal of Control, vol. DOI: 10.1080/00207179.2014.893450, 2014, pp. 1–20.
LibreCat
2014 | Conference Paper | LibreCat-ID: 29440
Ober-Blöbaum, Sina, and H. Lindhorst. “Variational Formulation and Structure-Preserving Discretization of Nonlinear Electric Circuits.” 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
LibreCat
2014 | Conference Paper | LibreCat-ID: 29438
Gail, T., et al. “On the Role of Quadrature Rules and System Dimensions in Variational Multirate Integrators.” 3rd Joint Interntaional Conference on Multibody System Dynamics , 2014.
LibreCat
2014 | Journal Article | LibreCat-ID: 20072
Flaßkamp, K., et al. “Control Strategies on Stable Manifolds for Energy-Efficient Swing-Ups of Double Pendula.” International Journal of Control, vol. 87(9), 2014, pp. 1886–905, doi:10.1080/00207179.2014.893450.
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| DOI
2014 | Journal Article | LibreCat-ID: 29404
Ober-Blöbaum, Sina, and N. Saake. “Construction and Analysis of Higher Order Galerkin Variational Integrators.” Advances in Computational Mathematics, 2014, pp. 1–32.
LibreCat
2014 | Book Chapter | LibreCat-ID: 20080
Anacker, H., et al. “Methods for the Design and Development.” Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, Editors, Design Methodology for Intelligent Technical Systems, Springer Berlin Heidelberg, 2014, pp. 183–350, doi:10.1007/978-3-642-45435-6_5.
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| DOI
2014 | Book Chapter | LibreCat-ID: 29417
Dangelmeier, W., et al. “Dependability of Self-Optimizing Mechatronic Systems.” Lecture Notes in Mechanical Engineering, Springer, 2014.
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2014 | Book Chapter | LibreCat-ID: 29416
Dellnitz, M., et al. “The Paradigm of Self-Optimization.” Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, Editors, Design Methodology for Intelligent Technical Systems, Springer, 2014, pp. 1–25.
LibreCat
2014 | Book Chapter | LibreCat-ID: 29414
Leitz, T., et al. “Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration.” Zdravko Terze, Multibody Dynamics, vol. 35, Springer International Publishing, 2014, pp. 175–203.
LibreCat
2014 | Journal Article | LibreCat-ID: 20071
Dellnitz, M., et al. “Development of an Intelligent Cruise Control Using Optimal Control Methods .” SysInt 2014 Proceedings, vol. 15, no. 0, 2014, pp. 285–94, doi:http://dx.doi.org/10.1016/j.protcy.2014.09.082.
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| DOI
2014 | Conference Paper | LibreCat-ID: 20087
Leitz, T., et al. “Variational Integrators for Dynamical Systems with Rotational Degrees of Freedom.” 11th World Congress on Computational Mechanics, 2014.
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2014 | Conference Paper | LibreCat-ID: 20070
Dellnitz, M., et al. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.” ECMI 2014 Proceedings, 2014.
LibreCat
2013 | Book Chapter | LibreCat-ID: 25743
Anacker, Harald, et al. “Methods for the Design and Development.” Design Methodology for Intelligent Technical Systems Systems – Develop Intelligent Technical Systems of the Future, Springer-Verlag, 2013, pp. 187–356.
LibreCat
2013 | Conference Paper | LibreCat-ID: 29603
Specht, Andreas, et al. “Discrete-Time Model of an IPMSM Based on Variational Integrators.” Electric Machines & Drives Conference (IEMDC), 2013 IEEE International, 2013, pp. 1411–1417.
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2013 | Conference Paper | LibreCat-ID: 29491
Gail, T., et al. “Computing Time Investigations for Variational Multirate Integration.” Proceedings of Applied Mathematics and Mechanics, vol. 13(1), 2013, pp. 43–44.
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2013 | Book Chapter | LibreCat-ID: 29419
Schütze, O., et al. “Set Oriented Methods for the Numerical Treatment of Multi-Objective Optimization Problems.” EVOLVE - A Bridge Between Probability, Set Oriented Numerics, and Evolutionary Computation, Springer, 2013, pp. 187–219.
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2013 | Journal Article | LibreCat-ID: 20032
Ober-Blöbaum, Sina, et al. “Variational Integrators for Electric Circuits.” Journal of Computational Physics, vol. 242, 2013, pp. 498–530, doi:10.1016/j.jcp.2013.02.006.
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| DOI
2013 | Journal Article | LibreCat-ID: 29406
Witting, K., et al. “A Variational Approach to Define Robustness for Parametric Multiobjective Optimization Problems.” Journal of Global Optimization, vol. 57(2), 2013, pp. 331–45.
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2013 | Book Chapter | LibreCat-ID: 29418
Leyendecker, S., and Sina Ober-Blöbaum. “A Variational Approach to Multirate Integration for Constrained Systems.” Jean-Claude Samin and Paul Fisette, Editors, Multibody Dynamics, vol. 28, Springer, 2013, pp. 97–121.
LibreCat
2013 | Conference Paper | LibreCat-ID: 29441
Flaßkamp, K., et al. “Optimal Control of a Switched Reluctance Drive by a Direct Method Using a Discrete Variational Principle.” 52nd IEEE International Conference on Decision and Control , 2013, pp. 7467–72.
LibreCat
2013 | Conference Paper | LibreCat-ID: 29443
Ober-Blöbaum, Sina, and A. Seifried. “A Multiobjective Optimization Approach for Optimal Control Problems of Mechanical Systems with Uncertainties.” European Control Conference, 2013, pp. 204–09.
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2013 | Conference Paper | LibreCat-ID: 29442
Flaßkamp, K., et al. “Discretized Switching Time Optimization Problems.” European Control Conference, 2013, pp. 3179–84.
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2013 | Conference Paper | LibreCat-ID: 20028
Flaßkamp, K., and Sina Ober-Blöbaum. “Optimale Steuerungsstrategien Für Selbstoptimierende Mechatronische Systeme Mit Mehreren Zielkriterien.” 9. Paderborner Workshop Entwurf Mechatronischer Systeme, Heinz Nixdorf Institut Verlagsschriftreihe, 2013, pp. 65–78.
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2013 | Conference Paper | LibreCat-ID: 20029
Heinzemann, C., et al. “Sichere Konvoibildung Mit Hilfe Optimaler Bremsprofile.” 9. Paderborner Workshop Entwurf Mechatronischer Systeme, Heinz Nixdorf Institut Verlagsschriftreihe, 2013, pp. 177–90.
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2013 | Conference Paper | LibreCat-ID: 29447
Specht, A., et al. “Discretetime Model of an IPMSM Based on Variational Integrators.” IEEE International Electric Machines & Drives Conference (IEMDC), 2013, pp. 1411–17.
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2013 | Conference Paper | LibreCat-ID: 29446
Ringkamp, M., et al. “A Numerical Approach to Multiobjective Optimal Control of Multibody Dynamics.” ECCOMAS Thematic Conference on Multibody Dynamics, 2013.
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2013 | Conference Paper | LibreCat-ID: 29444
Demoures, F., et al. “Asynchronous Variational Lie Group Integration for Geometrically Exact Beam Dynamics.” Proceedings of Applied Mathematics and Mechanics, vol. 13(1), 2013, pp. 45–46.
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2013 | Conference Paper | LibreCat-ID: 29492
Ringkamp, M., et al. “Multiobjective Optimal Control of a Four-Body Kinematic Chain.” Proceedings of Applied Mathematics and Mechanics, vol. 13(1), 2013, pp. 27–28.
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2013 | Conference Paper | LibreCat-ID: 29445
Gail, T., et al. “Computing Time Investigations of Variational Multirate Systems.” Proceedings of Applied Mathematics and Mechanics, vol. 13(1), 2013, pp. 43–44.
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2013 | Conference Paper | LibreCat-ID: 29490
Flaßkamp, K., et al. “Optimization for Discretized Switched Systems.” Proceedings of Applied Mathematics and Mechanics, vol. 13(1), 2013, pp. 401–02.
LibreCat
2012 | Conference Paper | LibreCat-ID: 29452
Ober-Blöbaum, Sina, et al. “Solving Multiobjective Optimal Control Problems in Space Mission Design Using Discrete Mechanics and Reference Point Techniques.” 51st IEEE International Conference on Decision and Control, 2012, pp. 5711–16.
LibreCat
2012 | Journal Article | LibreCat-ID: 29409
Ringkamp, M., et al. “Handling High Dimensional Problems with Multi-Objective Continuation Methods via Successive Approximation of the Tangent Space.” Engineering Optimization, vol. 44(6), 2012, pp. 1117–46.
LibreCat
2012 | Journal Article | LibreCat-ID: 29407
Moore, A., et al. “Trajectory Design Combining Invariant Manifolds with Discrete Mechanics and Optimal Control.” Journal of Guidance, Control, and Dynamics, vol. 35(5), 2012, pp. 1507–25.
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2012 | Journal Article | LibreCat-ID: 29408
Flaßkamp, K., et al. “Solving Optimal Control Problems by Exploiting Inherent Dynamical Systems Structures.” Journal of Nonlinear Science, vol. 22(4), 2012, pp. 599–629.
LibreCat
2012 | Conference Paper | LibreCat-ID: 29451
Flaßkamp, K., et al. “Switching Time Optimization in Discretized Hybrid Dynamical Systems.” 51st IEEE International Conference on Decision and Control, 2012, pp. 707–12.
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2012 | Conference Paper | LibreCat-ID: 29450
Flaßkamp, K., and Sina Ober-Blöbaum. “Motion Planning for Mechanical Systems with Hybrid Dynamics.” Progress in Industrial Mathematics at ECMI 2012, Mathematics in Industry (To Appear), Springer, 2012.
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2012 | Conference Paper | LibreCat-ID: 29453
Campos, C. M., et al. “Higher Order Variational Time Discretization of Optimal Control Problems.” 20th International Symposium on Mathematical Theory of Networks and Systems, 2012.
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2012 | Conference Paper | LibreCat-ID: 29454
Flaßkamp, K., and Sina Ober-Blöbaum. “Energy Efficient Control for Mechanical Systems Based on Inherent Dynamical Structures.” American Control Conference, 2012, pp. 2609–14.
LibreCat
2012 | Conference Paper | LibreCat-ID: 23161
Flaßkamp, Kathrin, et al. “Optimal Control on Stable Manifolds for a Double Pendulum.” Proceedings in Applied Mathematics and Mechanics, vol. 12(1), 2012, pp. 723–24.
LibreCat
2011 | Conference Paper | LibreCat-ID: 29457
Ober-Blöbaum, Sina. “Discrete Mechanics and Optimal Control: Structure Preserving Integration for the Optimal Control of Mechanical Systems.” Proceedings of Oberwolfach Reports “‘Geometric Numerical Integration,’” 2011.
LibreCat
2011 | Conference Paper | LibreCat-ID: 29455
Leyendecker, S., and Sina Ober-Blöbaum. “A Variational Approach to Multirate Integration for Constrained Systems.” Proceedings of Oberwolfach Reports “‘Applied Dynamics and Geometric Mechanics,’” 2011.
LibreCat
2011 | Journal Article | LibreCat-ID: 29410
Ober-Blöbaum, Sina, et al. “Discrete Mechanics and Optimal Control: An Analysis.” Control, Optimisation and Calculus of Variations, vol. 17(2), 2011, pp. 322–52.
LibreCat
2011 | Conference Paper | LibreCat-ID: 29456
Leyendecker, S., and Sina Ober-Blöbaum. “A Variational Approach to Multirate Integration for Constrained Systems.” Paul Fisette and Jean-Claude Samin, Editors, ECCOMAS Thematic Conference: Multibody Dynamics: Computational Methods and Applications, 2011.
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2011 | Conference Paper | LibreCat-ID: 23180
Timmermann, Julia, et al. “Discrete Mechanics and Optimal Control and Its Application to a Double Pendulum on a Cart.” 18th IFAC World Congress 2011, 2011.
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2011 | Conference Paper | LibreCat-ID: 29458
Flaßkamp, K., et al. “Berechnung Optimaler Stromprofile Für Einen 6-Phasigen, Geschalteten Reluktanzantrieb.” 8. Paderborner Workshop Entwurf Mechatronischer Systeme, Heinz Nixdorf Institut Verlagsschriftreihe, 2011.
LibreCat
2011 | Conference Paper | LibreCat-ID: 20012
Flaßkamp, K., and Sina Ober-Blöbaum. “Variational Formulation and Optimal Control of Hybrid Lagrangian Systems.” HSCC ’11: 14th International Conference on Hybrid Systems: Computation and Control, ACM, 2011, pp. 241–50.
LibreCat
2011 | Conference Paper | LibreCat-ID: 29493
Leyendecker, S., and Sina Ober-Blöbaum. “Variational Multirate Integration of Constrained Dynamics.” Proceedings of Applied Mathematics and Mechanics, vol. 11(1), 2011, pp. 53–54.
LibreCat
2011 | Conference Paper | LibreCat-ID: 29494
Ober-Blöbaum, Sina, et al. “Variational Integrators for Electric Circuits.” Proceedings of Applied Mathematics and Mechanics, vol. 11(1), 2011, pp. 783–84.
LibreCat
2011 | Conference Paper | LibreCat-ID: 29464
Moore, A., et al. “Mesh Refinement Strategies for Spacecraft Trajectory Optimization Using Discrete Mechanics and Optimal Control.” 21st AAS/AIAA Space Flight Mechanics Meeting, 2011.
LibreCat
2010 | Journal Article | LibreCat-ID: 29411
Leyendecker, S., et al. “Discrete Mechanics and Optimal Control for Constrained Systems.” Optimal Control, Applications and Methods, vol. 31(6), 2010, pp. 505–28.
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2010 | Conference Paper | LibreCat-ID: 29468
Moore, A., et al. “The Effect of Mesh Refinement on Spacecraft Trajectory Design Using Descrete Mechanics and Optimal Control.” 4th European Conference on Computational Mechanics , 2010.
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2010 | Conference Paper | LibreCat-ID: 29467
Thiere, B., et al. “Detecting Initial Guesses for Trajectories in the (P)CRTBP.” AIAA/AAS Astrodynamics Specialist Conference, 2010.
LibreCat
2010 | Conference Paper | LibreCat-ID: 20023
Leyendecker, S., and Sina Ober-Blöbaum. “A Variational Approach to Multirate Integration.” 4th European Conference on Computational Mechanics, 2010.
LibreCat
2010 | Conference Paper | LibreCat-ID: 29496
Ober-Blöbaum, Sina, and A. Walther. “Computation of Derivatives for Structure Preserving Optimal Control Using Automatic Differentiation.” Proceedings of Applied Mathematics and Mechanics, vol. 10(1), 2010, pp. 585–86.
LibreCat
2010 | Conference Paper | LibreCat-ID: 29495
Flaßkamp, K., et al. “Solving Optimal Control Problems by Using Inherent Dynamical Properties.” Proceedings of Applied Mathematics and Mechanics, vol. 10(1), 2010, pp. 577–78.
LibreCat
2009 | Journal Article | LibreCat-ID: 29412
Dellnitz, M., et al. “A Multi-Objective Approach to the Design of Low Thrust Space Trajectories Using Optimal Control.” Celestial Mechanics and Dynamical Astronomy, vol. 105, 2009, pp. 33–59.
LibreCat
2009 | Conference Paper | LibreCat-ID: 29470
Nair, S., et al. “The Jacobi-Maupertuis Principle in Variational Integrators.” 7th International Conference of Numerical Analysis and Applied Mathematics, 2009, pp. 464–66.
LibreCat
2009 | Conference Paper | LibreCat-ID: 23237
Ober-Blöbaum, Sina, and Julia Timmermann. “Optimal Control for a Pitcher’s Motion Modeled as Constrained Mechanical System.” 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Contro, ASME International Design Engineering Technical Conferences , ASME, 2009.
LibreCat
2009 | Conference Paper | LibreCat-ID: 29471
Gehler, M., et al. “Application of Discrete Mechanics and Optimal Control to Spacecraft in Non-Keplerian Motion around Small Solar Systems.” Procceedings of the 60th International Astronautical Congress, 2009.
LibreCat
2009 | Conference Paper | LibreCat-ID: 29473
Moore, A., et al. “Optimization of Spacecraft Trajectories: A Method Combining Invariant Manifold Techniques and Descrete Mechanics and Optimal .” 19th AAS/AIAA Space Flight Mechanics Meeting, 2009.
LibreCat
2009 | Conference Paper | LibreCat-ID: 29472
Gehler, M., et al. “Optimal Control of Gravity Tractor Spacecraft near Arbitrarily Shaped Asteroids.” 1st IAA Planetary Defense Conference: Protecting Earth from Asteroids, 2009.
LibreCat
2008 | Conference Paper | LibreCat-ID: 29474
Zhang, W., et al. “Optimal Trajectory Generation for a Dynamic Glider in Ocean Flows Modeled by 3d B-Spline Functions.” IEEE International Conference on Robotics and Automation, 2008.
LibreCat
2007 | Conference Paper | LibreCat-ID: 20021
Leyendecker, S., et al. “Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics.” 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, ASME International Design Engineering Technical Conferences, vol. 5, 2007, pp. 623–32.
LibreCat
2006 | Book Chapter | LibreCat-ID: 20056
Dellnitz, M., et al. “Efficient Control of Formation Flying Spacecraft.” Friedhelm Meyer Auf Der Heide and Burkhard Monien, Editors, New Trends in Parallel & Distributed Computing, vol. 181, Heinz Nixdorf Institut Verlagsschriftreihe, 2006, pp. 235–47.
LibreCat
2006 | Conference Paper | LibreCat-ID: 29488
Junge, O., et al. “Optimal Reconfiguration of Formation Flying Spacecraft - a Decentralized Approach.” 45th IEEE Conference on Decision and Control, 2006, pp. 5210–15.
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2005 | Conference Paper | LibreCat-ID: 20017
Junge, O., and Sina Ober-Blöbaum. “Optimal Reconfiguration of Formation Flying Satellites.” 44th IEEE Conference on Decision and Control, 2005.
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2005 | Conference Paper | LibreCat-ID: 20020
Junge, O., et al. “Discrete Mechanics and Optimal Control.” 16th IFAC World Congress, 2005.
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