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 
LibreCat: /record/46469
DOI: 10.1063/5.0172287
arXiv: 2308.05082 

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 
LibreCat: /record/53101
DOI: 10.3934/jcd.2024017

Offen, C. (n.d.). Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification.
LibreCat: /record/53805
arXiv: arXiv:2404.19626

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 
LibreCat: /record/42163
DOI: 10.1007/978-3-031-38271-0_57
arXiv: 2302.08232 

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 
LibreCat: /record/29240
DOI: 10.1016/j.cam.2022.114780
arXiv: 2112.12619

McLachlan, R., &; Offen, C. (2023). Backward error analysis for conjugate symplectic methods. Journal of Geometric Mechanics, 15(1), 98–115.https://doi.org/10.3934/jgm.2023005 
LibreCat: /record/29236
DOI: 10.3934/jgm.2023005
arXiv: 2201.03911

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 
LibreCat: /record/37654
DOI: 10.1063/5.0142969
arXiv: 2301.07928

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), 9–5.https://doi.org/10.1137/21M1412682 
LibreCat: /record/21600
DOI: 10.1137/21M1412682
arXiv: arXiv:2104.03562

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 
LibreCat: /record/34135
DOI: 10.1016/j.ifacol.2023.10.1457
arXiv: 2211.10830

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.
LibreCat: /record/30490

Caillau, J.-B., Djema, W., Gouzé, J.-L., Maslovskaya, S., &; Pomet, J.-B. (2022). Turnpike Property in Optimal Microbial Metabolite Production. Journal of Optimization Theory and Applications.https://doi.org/10.1007/s10957-022-02023-0 
LibreCat: /record/30861
DOI: 10.1007/s10957-022-02023-0

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.
LibreCat: /record/44624

McLachlan, R. I., &; Offen, C. (2022). Backward error analysis for variational discretisations of partial  differential equations. Journal of Geometric Mechanics, 14(3), 447–471.https://doi.org/10.3934/jgm.2022014 
LibreCat: /record/19941
DOI: 10.3934/jgm.2022014
arXiv: 2006.14172

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 
LibreCat: /record/23382
DOI: 10.1063/5.0065913
arXiv: 2108.02492

Vertovec, N., Ober-Blöbaum, S., &; Margellos, K. (2022). Verification of safety critical control policies using kernel methods. 1870–1875.
LibreCat: /record/30733

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).
LibreCat: /record/29421

Djema, W., Giraldi, L., Maslovskaya, S., &; Bernard, O. (2021). Turnpike features in optimal selection of species represented by quota models. Automatica, 132, Article 109804.https://doi.org/10.1016/j.automatica.2021.109804 
LibreCat: /record/29543
DOI: 10.1016/j.automatica.2021.109804

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 
LibreCat: /record/22894
DOI: https://doi.org/10.1016/j.ifacol.2021.11.099
arXiv: 2107.13853

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 
LibreCat: /record/21572
DOI: 10.1109/CDC45484.2021.9683426
arXiv: 2011.05364

Vertovec, N., Ober-Blöbaum, S., &; Margellos, K. (n.d.). Multi-objective minimum time optimal control for low-thrust trajectory design. 1975–1980.
LibreCat: /record/21592
arXiv: 2103.08813

Jiménez, F., &; Ober-Blöbaum, S. (2021). Fractional Damping Through Restricted Calculus of Variations. Nichtlineare Sci 31, 46.
LibreCat: /record/29868

McLachlan, R. I., &; Offen, C. (2020). Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation. Foundations of Computational Mathematics, 20(6), 1363–1400.https://doi.org/10.1007/s10208-020-09454-z 
LibreCat: /record/19938
DOI: 10.1007/s10208-020-09454-z

Kreusser, L. M., McLachlan, R. I., &; Offen, C. (2020). Detection of high codimensional bifurcations in variational PDEs. Nonlinearity, 33(5), 2335–2363.https://doi.org/10.1088/1361-6544/ab7293 
LibreCat: /record/19939
DOI: 10.1088/1361-6544/ab7293

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.
LibreCat: /record/29399

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.
LibreCat: /record/29398

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.
LibreCat: /record/29422

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.
LibreCat: /record/29423

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.
LibreCat: /record/29424

Jean, F., Maslovskaya, S., &; Zelenko, I. (2020). On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry. Geometriae Dedicata, 213(1), 295–314.https://doi.org/10.1007/s10711-020-00581-z 
LibreCat: /record/29545
DOI: 10.1007/s10711-020-00581-z

Maslovskaya, S., Caillau, J.-B., Djema, W., Giraldi, L., Jean-Luc, J.-L., &; Pomet, J.-B. (2020). The turnpike property in maximization of microbial metabolite production. IFAC 2020 - 21rst IFAC World Congress.
LibreCat: /record/29546

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.
LibreCat: /record/29413

McLachlan, R. I., Offen, C., &; Tapley, B. K. (2019). Symplectic integration of PDEs using Clebsch variables. Journal of Computational Dynamics, 6(1), 111–130.https://doi.org/10.3934/jcd.2019005 
LibreCat: /record/19945
DOI: 10.3934/jcd.2019005

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).
LibreCat: /record/29867

McLachlan, R. I., &; Offen, C. (2018). Bifurcation of solutions to Hamiltonian boundary value problems. Nonlinearity, 2895–2927.https://doi.org/10.1088/1361-6544/aab630 
LibreCat: /record/19935
DOI: 10.1088/1361-6544/aab630

McLachlan, R. I., &; Offen, C. (2018). Symplectic integration of boundary value problems. Numerical Algorithms, 1219–1233.https://doi.org/10.1007/s11075-018-0599-7 
LibreCat: /record/19937
DOI: 10.1007/s11075-018-0599-7

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.
LibreCat: /record/29425

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).
LibreCat: /record/29427

Offen, C. (n.d.). Local intersections of Lagrangian manifolds correspond to catastrophe  theory. In arXiv:1811.10165.
LibreCat: /record/19940
arXiv: 1811.10165

McLachlan, R. I., &; Offen, C. (2018). Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci. New Zealand Journal of Mathematics, 48, 83–99.https://doi.org/10.53733/34  
LibreCat: /record/19943
DOI: 10.53733/34 
arXiv: 1804.07479

Gail, T., Ober-Blöbaum, S., &; Leyendecker, S. (2017). Variational multirate integration in discrete mechanics and optimal control. ECCOMAS Thematic Conference on Multibody Dynamics.
LibreCat: /record/29430

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.
LibreCat: /record/29435

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).
LibreCat: /record/29432

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.
LibreCat: /record/29433

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.
LibreCat: /record/29436

Flaßkamp, K., Hage-Packhäuser, S., &; Ober-Blöbaum, S. (2015). Symmetry exploiting control of hybrid mechanical systems. Journal of Computational Dynamics, 2(1), 25–50.
LibreCat: /record/29402

Campos, C. M., Ober-Blöbaum, S., &; Trélat, E. (2015). High order variational integrators in the optimal control of mechanical systems. Discrete and Continuous Dynamical Systems, 35(9), 4193–4223.
LibreCat: /record/29403

Ober-Blöbaum, S., &; Lindhorst, H. (2014). Variational formulation and structure-preserving discretization of nonlinear electric circuits. 21st International Symposium on Mathematical Theory of Networks and Systems.
LibreCat: /record/29440

Gail, T., Leyendecker, S., &; Ober-Blöbaum, S. (2014). On the role of quadrature rules and system dimensions in variational multirate integrators. 3rd Joint Interntaional Conference on Multibody System Dynamics .
LibreCat: /record/29438

Trächtler, A., Kleinjohann, B., Heinzemann, C., Rasche, C., Priesterjahn, C., Steenken, D., Wehrheim, H., Gausemeier, J., Flaßkamp, K., Kleinjohann, L., Krüger, M., Iwanek, P., Hartmann, P., Dorociak, R., Groesbrink, S., Ziegert, S., Meyer, T., Sextro, W., &; Schäfer, W. (2014). Case Study. In J. Gausemeier, F. Josef Rammig, W. Schäfer, &; W. Sextro (Eds.), Dependability of Self-Optimizing Mechatronic Systems (pp. 173–188). Springer Berlin Heidelberg.https://doi.org/10.1007/978-3-642-53742-4_4 
LibreCat: /record/20085
DOI: 10.1007/978-3-642-53742-4_4

Ober-Blöbaum, S., &; Saake, N. (2014). Construction and analysis of higher order Galerkin variational integrators. Advances in Computational Mathematics, 1–32.
LibreCat: /record/29404