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 

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 

Offen, C. (n.d.). Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification.

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 

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 

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 

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 

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 

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 

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.

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 

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.

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 

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 

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

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).

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 

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 

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 

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

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

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 

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 

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.

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.

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.

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.

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.

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 

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.

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.

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 

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).

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 

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 

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.

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).

Offen, C. (n.d.). Local intersections of Lagrangian manifolds correspond to catastrophe  theory. In 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  

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

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.

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).

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.

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.

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

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.

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.

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 .

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 

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