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127 Publications
2024 | Journal Article | LibreCat-ID: 46469 | 
Offen, C., & Ober-Blöbaum, S. (2024). Learning of discrete models of variational PDEs from data. Chaos, 34(1), Article 013104. https://doi.org/10.1063/5.0172287
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| arXiv
2024 | Journal Article | LibreCat-ID: 53101 |
Leyendecker, S., Maslovskaya, S., Ober-Blöbaum, S., Almagro, R. T. S. M. de, & Szemenyei, F. O. (2024). A new Lagrangian approach to control affine systems with a quadratic Lagrange term. Journal of Computational Dynamics, 0(0), 0–0. https://doi.org/10.3934/jcd.2024017
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2023 | Conference Paper | LibreCat-ID: 42163 |
Offen, C., & Ober-Blöbaum, S. (2023). Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves. In F. Nielsen & F. Barbaresco (Eds.), Geometric Science of Information (Vol. 14071, pp. 569–579). Springer, Cham. https://doi.org/10.1007/978-3-031-38271-0_57
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| arXiv
2023 | Journal Article | LibreCat-ID: 29240 |
Ober-Blöbaum, S., & Offen, C. (2023). Variational Learning of Euler–Lagrange Dynamics from Data. Journal of Computational and Applied Mathematics, 421, 114780. https://doi.org/10.1016/j.cam.2022.114780
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| arXiv
2023 | Journal Article | LibreCat-ID: 37654 |
Dierkes, E., Offen, C., Ober-Blöbaum, S., & Flaßkamp, K. (2023). Hamiltonian Neural Networks with Automatic Symmetry Detection. Chaos, 33(6), Article 063115. https://doi.org/10.1063/5.0142969
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| arXiv
2023 | Journal Article | LibreCat-ID: 21600
Dellnitz, M., Hüllermeier, E., Lücke, M., Ober-Blöbaum, S., Offen, C., Peitz, S., & Pfannschmidt, K. (2023). Efficient time stepping for numerical integration using reinforcement learning. SIAM Journal on Scientific Computing, 45(2), A579–A595. https://doi.org/10.1137/21M1412682
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| arXiv
2023 | Report | LibreCat-ID: 47147
Lishkova, Y., Ober-Blöbaum, S., & Leyendecker, S. (2023). Multirate Discrete Mechanics and Optimal Control for a Flexible Satelite Model . Invited Mathematical Magazine Article.
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2023 | Conference Paper | LibreCat-ID: 47148
Lishkova, Y., Bando, M., & Ober-Blöbaum, S. (2023). Variational approach for modelling and optimal control of electrodynamic tether motion.
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2023 | Conference Paper | LibreCat-ID: 34135 |
Lishkova, Y., Scherer, P., Ridderbusch, S., Jamnik, M., Liò, P., Ober-Blöbaum, S., & Offen, C. (2023). Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery. IFAC-PapersOnLine, 56(2), 3203–3210. https://doi.org/10.1016/j.ifacol.2023.10.1457
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| arXiv
2022 | Journal Article | LibreCat-ID: 30490
Cresson, J., Jiménez, F., & Ober-Blöbaum, S. (2022). Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations. AIMS, 14(1), 57–89.
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2022 | Journal Article | LibreCat-ID: 44624
Faulwasser, T., Flaßkamp, K., Ober-Blöbaum, S., Schaller, M., & Worthmann, K. (2022). Manifold turnpikes, trims, and symmetries. Mathematics of Control, Signals, and Systems, 34, 759–788.
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2022 | Journal Article | LibreCat-ID: 23382 |
Offen, C., & Ober-Blöbaum, S. (2022). Symplectic integration of learned Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 32(1). https://doi.org/10.1063/5.0065913
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| arXiv
2022 | Conference Paper | LibreCat-ID: 30733
Vertovec, N., Ober-Blöbaum, S., & Margellos, K. (2022). Verification of safety critical control policies using kernel methods. 1870–1875.
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2021 | Conference Paper | LibreCat-ID: 29421
Ober-Blöbaum, S., & Vermeeren, M. (2021). Superconvergence of galerkin variational integrators. In IFAC-PapersOnLine (Ed.), 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC: Vol. 54(19) (pp. 327–333).
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2021 | Journal Article | LibreCat-ID: 16294 |
Ober-Blöbaum, S., & Peitz, S. (2021). Explicit multiobjective model predictive control for nonlinear systems with symmetries. International Journal of Robust and Nonlinear Control, 31(2), 380–403. https://doi.org/10.1002/rnc.5281
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2021 | Conference Paper | LibreCat-ID: 47146
Lishkova, Y., Cannon, M., & Ober-Blöbaum, S. (2021). A multirate variational approach to Nonlinear MPC.
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2021 | Conference Paper | LibreCat-ID: 22894 |
Offen, C., & Ober-Blöbaum, S. (2021). Bifurcation preserving discretisations of optimal control problems: Vol. 54(19) (pp. 334–339). https://doi.org/10.1016/j.ifacol.2021.11.099
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| arXiv
2021 | Conference Paper | LibreCat-ID: 21572
Ridderbusch, S., Offen, C., Ober-Blöbaum, S., & Goulart, P. (2021). Learning ODE Models with Qualitative Structure Using Gaussian Processes . 2021 60th IEEE Conference on Decision and Control (CDC), 2896. https://doi.org/10.1109/CDC45484.2021.9683426
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| arXiv
2021 | Conference Paper | LibreCat-ID: 29868
Jiménez, F., & Ober-Blöbaum, S. (2021). Fractional Damping Through Restricted Calculus of Variations. Nichtlineare Sci 31, 46.
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2020 | Journal Article | LibreCat-ID: 29399
Limebeer, D. J. N., Ober-Blöbaum, S., & Farshi, F. H. (2020). Variational integrators for dissipative systems. IEEE Transactions on Automatic Control, 65(4), 1381–1396.
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2020 | Journal Article | LibreCat-ID: 16297
Hernández Castellanos, C. I., Ober-Blöbaum, S., & Peitz, S. (2020). Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty. International Journal of Robust and Nonlinear Control, 30(17), 7593–7618. https://doi.org/10.1002/rnc.5197
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2020 | Journal Article | LibreCat-ID: 29398
Hernández Castellanos, C. I. O., Schütze, G., Sun, J.-Q., Ober-Blöbaum, S., & Morales-Luna, G. (2020). Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping. Mathematics, 8(11):1959.
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2020 | Conference Paper | LibreCat-ID: 29422
Lishkova, Y., Ober-Blöbaum, S., Cannon, M., & Leyendecker, S. (2020). 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.
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2020 | Conference Paper | LibreCat-ID: 29423
Faulwasser, T., Flaßkamp, K., Ober-Blöbaum, S., & Worthmann, K. (2020). A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems. 24th International Symposium on Mathematical Theory of Networks and Systems.
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2020 | Conference Paper | LibreCat-ID: 29424
Cresson, J., Jiménez, F., & Ober-Blöbaum, S. (2020). Modelling of the convection-diffusion equation through fractional restricted calculus of variations. 24th International Symposium on Mathematical Theory of Networks and Systems.
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2020 | Book Chapter | LibreCat-ID: 29413
Flaßkamp, K., Ober-Blöbaum, S., & Peitz, S. (2020). Symmetry in optimal control: A multiobjective model predictive control approach. In O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, & K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation (pp. 209–237). Springer International Publishing.
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2019 | Journal Article | LibreCat-ID: 19993
Flaßkamp, K., Ober-Blöbaum, S., & Worthmann, K. (2019). Symmetry and motion primitives in model predictive control. MCSS, 31, 455–485.
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2019 | Conference Paper | LibreCat-ID: 29867
Faulwasser, T., Flaßkamp, K., Ober-Blöbaum, S., & Worthmann, K. (2019). Towards velocity turnpikes in optimal control of mechanical systems: Vol. 52(16) (IFAC-PapersOnLine, Ed.; pp. 490–495).
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2018 | Journal Article | LibreCat-ID: 8753
Peitz, S., Ober-Blöbaum, S., & Dellnitz, M. (2018). Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling. Acta Applicandae Mathematicae, 161(1), 171–199. https://doi.org/10.1007/s10440-018-0209-7
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2018 | Journal Article | LibreCat-ID: 20112
Reniers, J. M., Mulder, G., Ober-Blöbaum, S., & Howe, D. A. (2018). Improving optimal control of grid-connected lithium-ion batteries through more accurate battery and degradation modelling. Journal of Power Sources, 379, 91–102. https://doi.org/10.1016/j.jpowsour.2018.01.004
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2018 | Conference Paper | LibreCat-ID: 29425
Jiménez, F., & Ober-Blöbaum, S. (2018). Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives. 6th European Conference on Computational Mechanics.
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2018 | Conference Paper | LibreCat-ID: 29427
Jiménez, F., & Ober-Blöbaum, S. (2018). A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings. In IFAC-PapersOnLine (Ed.), 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018: Vol. 51(3) (pp. 50–55).
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2017 | Conference Paper | LibreCat-ID: 5914
Dellnitz, M., Eckstein, J., Flaßkamp, K., Friedel, P., Horenkamp, C., Köhler, U., … Tiemeyer, S. (2017). Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control. In Progress in Industrial Mathematics at ECMI 2014 (pp. 633–641). Cham: Springer International Publishing. https://doi.org/10.1007/978-3-319-23413-7_87
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2017 | Journal Article | LibreCat-ID: 20061
Mergel, J. C., Sauer, R. A., & Ober-Blöbaum, S. (2017). 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, 97(4), 433–457. https://doi.org/10.1002/zamm.201600062
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2017 | Journal Article | LibreCat-ID: 20091
Wenger, T., Ober-Blöbaum, S., & Leyendecker, S. (2017). Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints. Advances in Computational Mathematics, 43(5), 1163–1195. https://doi.org/10.1007/s10444-017-9520-5
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2017 | Journal Article | LibreCat-ID: 20059
Ober-Blöbaum, S. (2017). Galerkin variational integrators and modified symplectic Runge-Kutta methods. IMA Journal of Numerical Analysis, 37(1), 375–406. https://doi.org/10.1093/imanum/drv062
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2017 | Journal Article | LibreCat-ID: 20093
Stellato, B., Ober-Blöbaum, S., & Goulart, P. J. (2017). Second-order switching time optimization for switched dynamical systems. IEEE Transactions on Automatic Control, 62(10), 5407–5414.
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2017 | Journal Article | LibreCat-ID: 8756
Peitz, S., Schäfer, K., Ober-Blöbaum, S., Eckstein, J., Köhler, U., & Dellnitz, M. (2017). A multiobjective MPC approach for autonomously driven electric vehicles. Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC), 50(1), 8674–8679. https://doi.org/10.1016/j.ifacol.2017.08.1526
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2017 | Conference Paper | LibreCat-ID: 29430
Gail, T., Ober-Blöbaum, S., & Leyendecker, S. (2017). Variational multirate integration in discrete mechanics and optimal control. ECCOMAS Thematic Conference on Multibody Dynamics.
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2017 | Journal Article | LibreCat-ID: 20106
Wenger, T., Ober-Blöbaum, S., & Leyendecker, S. (2017). Variational integrators of mixed order for constrained and unconstrained systems acting on multiple time scales. PAMM, 17(1). https://doi.org/10.1002/pamm.201710057
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2016 | Journal Article | LibreCat-ID: 20060
Ringkamp, M., Ober-Blöbaum, S., & Leyendecker, S. (2016). On the time transformation of mixed integer optimal control problems using a consistent fixed integer control function. Mathematical Programming, 1–31. https://doi.org/10.1007/s10107-016-1023-5
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2016 | Conference Paper | LibreCat-ID: 8758
Eckstein, J., Peitz, S., Schäfer, K., Friedel, P., Köhler, U., Hessel von Molo, M., Ober-Blöbaum, S., & Dellnitz, M. (2016). 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, 26, 465–472. https://doi.org/10.1016/j.protcy.2016.08.059
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2016 | Conference Paper | LibreCat-ID: 29435
Wenger, T., Ober-Blöbaum, S., & Leyendecker, S. (2016). 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, 1818–1831.
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2016 | Conference Paper | LibreCat-ID: 29432
Wenger, T., Ober-Blöbaum, S., & Leyendecker, S. (2016). Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods. International Conference of Numerical Analysis and Applied Mathematics (ICNAAM).
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2016 | Conference Paper | LibreCat-ID: 29433
Peitz, S., Ober-Blöbaum, S., & Dellnitz, M. (2016). Reduced order model based multiobjective optimal control of fluids. Proceedings of International Congress of Theoretical and Applied Mechanics.
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2016 | Conference Paper | LibreCat-ID: 29436
Stellato, B., Ober-Blöbaum, S., & Goulart, P. J. (2016). Optimal control of switching times in switched linear systems. 2016 IEEE 55th Conference on Decision and Control (CDC), 7228–7233.
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2016 | Journal Article | LibreCat-ID: 20101
Wenger, T., Ober-Blöbaum, S., & Leyendecker, S. (2016). Variational integrators of higher order for constrained dynamical systems. PAMM, 16(1), 775–776. https://doi.org/10.1002/pamm.201610376
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2016 | Journal Article | LibreCat-ID: 20105
Mergel, J. C., Sauer, R. A., & Ober-Blöbaum, S. (2016). C1-continuous time integration based on cubic Hermite interpolation. PAMM, 16(1), 753–754. https://doi.org/10.1002/pamm.201610365
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2016 | Journal Article | LibreCat-ID: 20103
Ringkamp, M., Ober-Blöbaum, S., & Leyendecker, S. (2016). Time transformed mixed integer optimal control problems with impacts. PAMM, 16(1), 789–790. https://doi.org/10.1002/pamm.201610383
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