Offen C, Ober-Blöbaum S. Learning of discrete models of variational PDEs from data. Chaos. 2024;34(1). doi:10.1063/5.0172287
LibreCat: /record/46469
DOI: 10.1063/5.0172287
arXiv: 2308.05082 

Leyendecker S, Maslovskaya S, Ober-Blöbaum S, Almagro RTSM de, Szemenyei FO. A new Lagrangian approach to control affine systems with a quadratic Lagrange term. Journal of Computational Dynamics. 2024;0(0):0-0. doi:10.3934/jcd.2024017
LibreCat: /record/53101
DOI: 10.3934/jcd.2024017

Offen C. 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. Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves. In: Nielsen F, Barbaresco F, eds. Geometric Science of Information. Vol 14071. Lecture Notes in Computer Science (LNCS). Springer, Cham.; 2023:569-579. doi: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. Variational Learning of Euler–Lagrange Dynamics from Data. Journal of Computational and Applied Mathematics. 2023;421:114780. doi:10.1016/j.cam.2022.114780
LibreCat: /record/29240
DOI: 10.1016/j.cam.2022.114780
arXiv: 2112.12619

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

Dierkes E, Offen C, Ober-Blöbaum S, Flaßkamp K. Hamiltonian Neural Networks with Automatic Symmetry Detection. Chaos. 2023;33(6). doi:10.1063/5.0142969
LibreCat: /record/37654
DOI: 10.1063/5.0142969
arXiv: 2301.07928

Dellnitz M, Hüllermeier E, Lücke M, et al. Efficient time stepping for numerical integration using reinforcement  learning. SIAM Journal on Scientific Computing. 2023;45(2):9-5. doi:10.1137/21M1412682
LibreCat: /record/21600
DOI: 10.1137/21M1412682
arXiv: arXiv:2104.03562

Lishkova Y, Scherer P, Ridderbusch S, et al. Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery. In: IFAC-PapersOnLine. Vol 56. Elsevier; 2023:3203-3210. doi: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. Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations. AIMS. 2022;14(1):57-89.
LibreCat: /record/30490

Caillau J-B, Djema W, Gouzé J-L, Maslovskaya S, Pomet J-B. Turnpike Property in Optimal Microbial Metabolite Production. Journal of Optimization Theory and Applications. Published online 2022. doi: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. Manifold turnpikes, trims, and symmetries. Mathematics of Control, Signals, and Systems. 2022;34:759-788.
LibreCat: /record/44624

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

Offen C, Ober-Blöbaum S. Symplectic integration of learned Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science. 2022;32(1). doi:10.1063/5.0065913
LibreCat: /record/23382
DOI: 10.1063/5.0065913
arXiv: 2108.02492

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

Ober-Blöbaum S, Vermeeren M. Superconvergence of galerkin variational integrators. In: IFAC-PapersOnLine, ed. 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC. Vol 54(19). ; 2021:327-333.
LibreCat: /record/29421

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

Offen C, Ober-Blöbaum S. Bifurcation preserving discretisations of optimal control problems. 2021;54(19):334-339. doi: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. Learning ODE Models with Qualitative Structure Using Gaussian Processes . In: 2021 60th IEEE Conference on Decision and Control (CDC). IEEE; 2021:2896. doi:10.1109/CDC45484.2021.9683426
LibreCat: /record/21572
DOI: 10.1109/CDC45484.2021.9683426
arXiv: 2011.05364

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

Jiménez F, Ober-Blöbaum S. Fractional Damping Through Restricted Calculus of Variations. In: Nichtlineare Sci 31. Vol 46. J Nonlinear Sci . ; 2021.
LibreCat: /record/29868

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

Kreusser LM, McLachlan RI, Offen C. Detection of high codimensional bifurcations in variational PDEs. Nonlinearity. 2020;33(5):2335-2363. doi:10.1088/1361-6544/ab7293
LibreCat: /record/19939
DOI: 10.1088/1361-6544/ab7293

Limebeer DJN, Ober-Blöbaum S, Farshi FH. Variational integrators for dissipative systems. IEEE Transactions on Automatic Control. 2020;65(4):1381-1396.
LibreCat: /record/29399

Hernández Castellanos CIO, Schütze G, Sun J-Q, Ober-Blöbaum S, Morales-Luna G. Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping. Mathematics. 2020;8(11):1959.
LibreCat: /record/29398

Lishkova Y, Ober-Blöbaum S, Cannon M, Leyendecker S. A multirate variational approach to simulation and optimal control for flexible spacecraft. In: Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe. ; 2020.
LibreCat: /record/29422

Faulwasser T, Flaßkamp K, Ober-Blöbaum S, Worthmann K. A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems. In: 24th International Symposium on Mathematical Theory of Networks and Systems. ; 2020.
LibreCat: /record/29423

Cresson J, Jiménez F, Ober-Blöbaum S. Modelling of the convection-diffusion equation through fractional restricted calculus of variations. In: 24th International Symposium on Mathematical Theory of Networks and Systems. ; 2020.
LibreCat: /record/29424

Jean F, Maslovskaya S, Zelenko I. On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry. Geometriae Dedicata. 2020;213(1):295-314. doi: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. The turnpike property in maximization of microbial metabolite production. In: ; 2020.
LibreCat: /record/29546

Flaßkamp K, Ober-Blöbaum S, Peitz S. Symmetry in optimal control: A multiobjective model predictive control approach. In: Junge O, Schütze O, Froyland G, Ober-Blöbaum S, Padberg-Gehle K, eds. Advances in Dynamics, Optimization and Computation. Springer International Publishing; 2020:209-237.
LibreCat: /record/29413

McLachlan RI, Offen C, Tapley BK. Symplectic integration of PDEs using Clebsch variables. Journal of Computational Dynamics. 2019;6(1):111-130. doi:10.3934/jcd.2019005
LibreCat: /record/19945
DOI: 10.3934/jcd.2019005

Faulwasser T, Flaßkamp K, Ober-Blöbaum S, Worthmann K. Towards velocity turnpikes in optimal control of mechanical systems. In: IFAC-PapersOnLine, ed. Vol 52(16). ; 2019:490-495.
LibreCat: /record/29867

McLachlan RI, Offen C. Bifurcation of solutions to Hamiltonian boundary value problems. Nonlinearity. 2018:2895-2927. doi:10.1088/1361-6544/aab630
LibreCat: /record/19935
DOI: 10.1088/1361-6544/aab630

McLachlan RI, Offen C. Symplectic integration of boundary value problems. Numerical Algorithms. 2018:1219-1233. doi:10.1007/s11075-018-0599-7
LibreCat: /record/19937
DOI: 10.1007/s11075-018-0599-7

Jiménez F, Ober-Blöbaum S. Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives. In: 6th European Conference on Computational Mechanics. ; 2018.
LibreCat: /record/29425

Jiménez F, Ober-Blöbaum S. 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). ; 2018:50-55.
LibreCat: /record/29427

Offen C. Local intersections of Lagrangian manifolds correspond to catastrophe  theory. arXiv:181110165.
LibreCat: /record/19940
arXiv: 1811.10165

McLachlan RI, Offen C. Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci. New Zealand Journal of Mathematics. 2018;48:83-99. doi:10.53733/34 
LibreCat: /record/19943
DOI: 10.53733/34 
arXiv: 1804.07479

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

Wenger T, Ober-Blöbaum S, Leyendecker S. 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. ; 2016:1818-1831.
LibreCat: /record/29435

Wenger T, Ober-Blöbaum S, Leyendecker S. Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods. In: International Conference of Numerical Analysis and Applied Mathematics (ICNAAM). ; 2016.
LibreCat: /record/29432

Peitz S, Ober-Blöbaum S, Dellnitz M. Reduced order model based multiobjective optimal control of fluids. In: Proceedings of International Congress of Theoretical and Applied Mechanics. ; 2016.
LibreCat: /record/29433

Stellato B, Ober-Blöbaum S, Goulart PJ. Optimal control of switching times in switched linear systems. In: 2016 IEEE 55th Conference on Decision and Control (CDC). ; 2016:7228-7233.
LibreCat: /record/29436

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

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

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

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

Trächtler A, Kleinjohann B, Heinzemann C, et al. Case Study. In: Gausemeier J, Josef Rammig F, Schäfer W, Sextro W, eds. Dependability of Self-Optimizing Mechatronic Systems. Lecture Notes in Mechanical Engineering. Springer Berlin Heidelberg; 2014:173-188. doi: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. Construction and analysis of higher order Galerkin variational integrators. Advances in Computational Mathematics. Published online 2014:1-32.
LibreCat: /record/29404