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93 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.
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| arXiv
2024 | Journal Article | LibreCat-ID: 53101 |
S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R. T. S. M. de Almagro, and F. O. Szemenyei, “A new Lagrangian approach to control affine systems with a quadratic Lagrange term,” Journal of Computational Dynamics, vol. 0, no. 0, pp. 0–0, 2024, doi: 10.3934/jcd.2024017.
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2023 | Conference Paper | LibreCat-ID: 42163 |
C. Offen and S. Ober-Blöbaum, “Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves,” in Geometric Science of Information, Saint-Malo, Palais du Grand Large, France, 2023, vol. 14071, pp. 569–579, doi: 10.1007/978-3-031-38271-0_57.
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| arXiv
2023 | Journal Article | LibreCat-ID: 29240 |
S. Ober-Blöbaum and C. Offen, “Variational Learning of Euler–Lagrange Dynamics from Data,” Journal of Computational and Applied Mathematics, vol. 421, p. 114780, 2023, doi: 10.1016/j.cam.2022.114780.
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| arXiv
2023 | Journal Article | LibreCat-ID: 29236 |
R. McLachlan and C. Offen, “Backward error analysis for conjugate symplectic methods,” Journal of Geometric Mechanics, vol. 15, no. 1, pp. 98–115, 2023, doi: 10.3934/jgm.2023005.
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| arXiv
2023 | Journal Article | LibreCat-ID: 37654 |
E. Dierkes, C. Offen, S. Ober-Blöbaum, and K. Flaßkamp, “Hamiltonian Neural Networks with Automatic Symmetry Detection,” Chaos, vol. 33, no. 6, Art. no. 063115, 2023, doi: 10.1063/5.0142969.
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| arXiv
2023 | Journal Article | LibreCat-ID: 21600
M. Dellnitz et al., “Efficient time stepping for numerical integration using reinforcement learning,” SIAM Journal on Scientific Computing, vol. 45, no. 2, pp. A579–A595, 2023, doi: 10.1137/21M1412682.
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| arXiv
2023 | Conference Paper | LibreCat-ID: 34135 |
Y. Lishkova et al., “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery,” in IFAC-PapersOnLine, Yokohama, Japan, 2023, vol. 56, no. 2, pp. 3203–3210, doi: 10.1016/j.ifacol.2023.10.1457.
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| arXiv
2022 | Journal Article | LibreCat-ID: 30490
J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations,” AIMS, vol. 14(1), pp. 57–89, 2022.
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2022 | Journal Article | LibreCat-ID: 30861
J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, and J.-B. Pomet, “Turnpike Property in Optimal Microbial Metabolite Production,” Journal of Optimization Theory and Applications, 2022, doi: 10.1007/s10957-022-02023-0.
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2022 | Journal Article | LibreCat-ID: 44624
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, and K. Worthmann, “Manifold turnpikes, trims, and symmetries,” Mathematics of Control, Signals, and Systems, vol. 34, pp. 759–788, 2022.
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2022 | Journal Article | LibreCat-ID: 19941 |
R. I. McLachlan and C. Offen, “Backward error analysis for variational discretisations of partial differential equations,” Journal of Geometric Mechanics, vol. 14, no. 3, pp. 447–471, 2022, doi: 10.3934/jgm.2022014.
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| arXiv
2022 | Journal Article | LibreCat-ID: 23382 |
C. Offen and S. Ober-Blöbaum, “Symplectic integration of learned Hamiltonian systems,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32(1), 2022, doi: 10.1063/5.0065913.
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| arXiv
2022 | Conference Paper | LibreCat-ID: 30733
N. Vertovec, S. Ober-Blöbaum, and K. Margellos, “Verification of safety critical control policies using kernel methods,” London, 2022, pp. 1870–1875.
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2021 | Conference Paper | LibreCat-ID: 29421
S. Ober-Blöbaum and M. Vermeeren, “Superconvergence of galerkin variational integrators,” in 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, 2021, vol. 54(19), pp. 327–333.
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2021 | Journal Article | LibreCat-ID: 29543
W. Djema, L. Giraldi, S. Maslovskaya, and O. Bernard, “Turnpike features in optimal selection of species represented by quota models,” Automatica, vol. 132, Art. no. 109804, 2021, doi: 10.1016/j.automatica.2021.109804.
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2021 | Conference Paper | LibreCat-ID: 22894 |
C. Offen and S. Ober-Blöbaum, “Bifurcation preserving discretisations of optimal control problems,” vol. 54(19). pp. 334–339, 2021, doi: https://doi.org/10.1016/j.ifacol.2021.11.099.
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| arXiv
2021 | Conference Paper | LibreCat-ID: 21572
S. Ridderbusch, C. Offen, S. Ober-Blöbaum, and P. Goulart, “Learning ODE Models with Qualitative Structure Using Gaussian Processes ,” in 2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, USA, 2021, p. 2896, doi: 10.1109/CDC45484.2021.9683426.
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| arXiv
2021 | Conference Paper | LibreCat-ID: 29868
F. Jiménez and S. Ober-Blöbaum, “Fractional Damping Through Restricted Calculus of Variations,” in Nichtlineare Sci 31, 2021, vol. 46.
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2020 | Journal Article | LibreCat-ID: 19938
R. I. McLachlan and C. Offen, “Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation,” Foundations of Computational Mathematics, vol. 20, no. 6, pp. 1363–1400, 2020.
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2020 | Journal Article | LibreCat-ID: 19939 |
L. M. Kreusser, R. I. McLachlan, and C. Offen, “Detection of high codimensional bifurcations in variational PDEs,” Nonlinearity, vol. 33, no. 5, pp. 2335–2363, 2020.
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2020 | Journal Article | LibreCat-ID: 29399
D. J. N. Limebeer, S. Ober-Blöbaum, and F. H. Farshi, “Variational integrators for dissipative systems,” IEEE Transactions on Automatic Control, vol. 65(4), pp. 1381–1396, 2020.
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2020 | Journal Article | LibreCat-ID: 29398
C. I. O. Hernández Castellanos, G. Schütze, J.-Q. Sun, S. Ober-Blöbaum, and G. Morales-Luna, “Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping,” Mathematics, vol. 8(11):1959, 2020.
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2020 | Conference Paper | LibreCat-ID: 29422
Y. Lishkova, S. Ober-Blöbaum, M. Cannon, and S. Leyendecker, “A multirate variational approach to simulation and optimal control for flexible spacecraft,” 2020.
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2020 | Conference Paper | LibreCat-ID: 29423
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann, “A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems,” 2020.
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2020 | Conference Paper | LibreCat-ID: 29424
J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Modelling of the convection-diffusion equation through fractional restricted calculus of variations,” 2020.
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2020 | Journal Article | LibreCat-ID: 29545
F. Jean, S. Maslovskaya, and I. Zelenko, “On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry,” Geometriae Dedicata, vol. 213, no. 1, pp. 295–314, 2020, doi: 10.1007/s10711-020-00581-z.
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2020 | Conference Abstract | LibreCat-ID: 29546 |
S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, and J.-B. Pomet, “The turnpike property in maximization of microbial metabolite production,” presented at the IFAC 2020 - 21rst IFAC World Congress, 2020.
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2020 | Book Chapter | LibreCat-ID: 29413
K. Flaßkamp, S. Ober-Blöbaum, and S. Peitz, “Symmetry in optimal control: A multiobjective model predictive control approach,” in Advances in Dynamics, Optimization and Computation, O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham: Springer International Publishing, 2020, pp. 209–237.
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2019 | Journal Article | LibreCat-ID: 19945 |
R. I. McLachlan, C. Offen, and B. K. Tapley, “Symplectic integration of PDEs using Clebsch variables,” Journal of Computational Dynamics, vol. 6, no. 1, pp. 111–130, 2019.
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2019 | Conference Paper | LibreCat-ID: 29867
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann, “Towards velocity turnpikes in optimal control of mechanical systems,” 2019, vol. 52(16), pp. 490–495.
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2018 | Journal Article | LibreCat-ID: 19935
R. I. McLachlan and C. Offen, “Bifurcation of solutions to Hamiltonian boundary value problems,” Nonlinearity, pp. 2895–2927, 2018.
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2018 | Journal Article | LibreCat-ID: 19937
R. I. McLachlan and C. Offen, “Symplectic integration of boundary value problems,” Numerical Algorithms, pp. 1219–1233, 2018.
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2018 | Conference Paper | LibreCat-ID: 29425
F. Jiménez and S. Ober-Blöbaum, “Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives,” 2018.
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2018 | Conference Paper | LibreCat-ID: 29427
F. Jiménez and S. Ober-Blöbaum, “A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings,” in 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, 2018, vol. 51(3), pp. 50–55.
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2018 | Preprint | LibreCat-ID: 19940 |
C. Offen, “Local intersections of Lagrangian manifolds correspond to catastrophe theory,” arXiv:1811.10165. .
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| arXiv
2018 | Journal Article | LibreCat-ID: 19943 |
R. I. McLachlan and C. Offen, “Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci,” New Zealand Journal of Mathematics, vol. 48, pp. 83–99, 2018, doi: 10.53733/34 .
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| arXiv
2017 | Conference Paper | LibreCat-ID: 29430
T. Gail, S. Ober-Blöbaum, and S. Leyendecker, “Variational multirate integration in discrete mechanics and optimal control,” 2017.
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2016 | Conference Paper | LibreCat-ID: 29435
T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials,” in ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, 2016, pp. 1818–1831.
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2016 | Conference Paper | LibreCat-ID: 29432
T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods,” 2016.
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2016 | Conference Paper | LibreCat-ID: 29433
S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Reduced order model based multiobjective optimal control of fluids,” 2016.
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2016 | Conference Paper | LibreCat-ID: 29436
B. Stellato, S. Ober-Blöbaum, and P. J. Goulart, “Optimal control of switching times in switched linear systems,” in 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, pp. 7228–7233.
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2015 | Journal Article | LibreCat-ID: 29402
K. Flaßkamp, S. Hage-Packhäuser, and S. Ober-Blöbaum, “Symmetry exploiting control of hybrid mechanical systems,” Journal of Computational Dynamics, vol. 2(1), pp. 25–50, 2015.
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2015 | Journal Article | LibreCat-ID: 29403
C. M. Campos, S. Ober-Blöbaum, and E. Trélat, “High order variational integrators in the optimal control of mechanical systems,” Discrete and Continuous Dynamical Systems, vol. 35(9), pp. 4193–4223, 2015.
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2014 | Conference Paper | LibreCat-ID: 29440
S. Ober-Blöbaum and H. Lindhorst, “Variational formulation and structure-preserving discretization of nonlinear electric circuits,” Netherlands, 2014.
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2014 | Conference Paper | LibreCat-ID: 29438
T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “On the role of quadrature rules and system dimensions in variational multirate integrators,” 2014.
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2014 | Journal Article | LibreCat-ID: 29404
S. Ober-Blöbaum and N. Saake, “Construction and analysis of higher order Galerkin variational integrators,” Advances in Computational Mathematics, pp. 1–32, 2014.
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