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94 Publications
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: 19938
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
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2020 | Journal Article | LibreCat-ID: 19939 | 
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
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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: 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 | Journal Article | LibreCat-ID: 29545
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
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2020 | Conference Abstract | LibreCat-ID: 29546 |
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.
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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: 19945 |
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
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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: 19935
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
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2018 | Journal Article | LibreCat-ID: 19937
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
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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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2018 | Preprint | LibreCat-ID: 19940 |
Offen, C. (n.d.). Local intersections of Lagrangian manifolds correspond to catastrophe theory. In arXiv:1811.10165.
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2018 | Journal Article | LibreCat-ID: 19943 |
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
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| arXiv
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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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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2015 | Journal Article | LibreCat-ID: 29402
Flaßkamp, K., Hage-Packhäuser, S., & Ober-Blöbaum, S. (2015). Symmetry exploiting control of hybrid mechanical systems. Journal of Computational Dynamics, 2(1), 25–50.
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2015 | Journal Article | LibreCat-ID: 29403
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.
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2014 | Conference Paper | LibreCat-ID: 29440
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.
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2014 | Conference Paper | LibreCat-ID: 29438
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 .
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2014 | Book Chapter | LibreCat-ID: 20085
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
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2014 | Journal Article | LibreCat-ID: 29404
Ober-Blöbaum, S., & Saake, N. (2014). Construction and analysis of higher order Galerkin variational integrators. Advances in Computational Mathematics, 1–32.
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2014 | Book Chapter | LibreCat-ID: 20080
Anacker, H., Dellnitz, M., Flaßkamp, K., Grocsbrink, S., Hartmann, P., Heinzemann, C., Horenkamp, C., Kleinjohann, B., Korf, S., Krüger, M., Müller, W., Ober-Blöbaum, S., Oberthür, S., Porrmann, M., Priesterjahn, C., Radkowski, R., Rasche, C., Rieke, J., Ringkamp, M., … Ziegert, S. (2014). Methods for the Design and Development. In Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, editors, Design Methodology for Intelligent Technical Systems (pp. 183–350). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-45435-6_5
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| DOI
2014 | Book Chapter | LibreCat-ID: 29417
Dangelmeier, W., Dellnitz, M., Dorociak, R., Flaßkamp, K., Gausemeier, J., Groesbrink, S., Hartmann, P., Heinzemann, C., Hölscher, C., Iwanek, P., Keßler, J. H., Kleinjohann, B., Kleinjohann, L., Korf, S., Krüger, M., Meyer, T., Müller, W., Ober-Blöbaum, S., Porrmann, M., … Zimmer, D. (2014). Dependability of Self-optimizing Mechatronic Systems. In Lecture Notes in Mechanical Engineering. Springer.
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2014 | Book Chapter | LibreCat-ID: 29416
Dellnitz, M., Dumitrescu, R., Flaßkamp, K., Gausemeier, J., Hartmann, P., Iwanek, P., Korf, S., Krüger, M., Ober-Blöbaum, S., Porrmann, M., Priesterjahn, C., Stahl, K., Trächtler, A., & Vaßholz, M. (2014). The paradigm of self-optimization. In Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, editors, Design Methodology for Intelligent Technical Systems (pp. 1–25). Springer.
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2014 | Book Chapter | LibreCat-ID: 29414
Leitz, T., Ober-Blöbaum, S., & Leyendecker, S. (2014). Variational Lie group formulation of geometrically exact beam dynamics: Synchronous and asynchronous integration. In Zdravko Terze, Multibody Dynamics (Vol. 35, pp. 175–203). Springer International Publishing.
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2013 | Conference Paper | LibreCat-ID: 29491
Gail, T., Leyendecker, S., & Ober-Blöbaum, S. (2013). Computing time investigations for variational multirate integration. Proceedings of Applied Mathematics and Mechanics, 13(1), 43–44.
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2013 | Book Chapter | LibreCat-ID: 29419
Schütze, O., Witting, K., Ober-Blöbaum, S., Dellnitz, M., & Tantar, E. (2013). Set oriented methods for the numerical treatment of multi-objective optimization problems. In EVOLVE - A Bridge Between Probability, Set Oriented Numerics, and Evolutionary Computation (pp. 187–219). Springer.
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2013 | Book Chapter | LibreCat-ID: 29418
Leyendecker, S., & Ober-Blöbaum, S. (2013). A variational approach to multirate integration for constrained systems. In Jean-Claude Samin and Paul Fisette, editors, Multibody Dynamics (Vol. 28, pp. 97–121). Springer.
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2013 | Conference Paper | LibreCat-ID: 29441
Flaßkamp, K., Ober-Blöbaum, S., Schneider, T., & Böcker, J. (2013). Optimal control of a switched reluctance drive by a direct method using a discrete variational principle. 52nd IEEE International Conference on Decision and Control , 7467–7472.
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2013 | Conference Paper | LibreCat-ID: 29443
Ober-Blöbaum, S., & Seifried, A. (2013). A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties. European Control Conference, 204–209.
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2013 | Conference Paper | LibreCat-ID: 29442
Flaßkamp, K., Murphey, T., & Ober-Blöbaum, S. (2013). Discretized switching time optimization problems. European Control Conference, 3179–3184.
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2013 | Conference Paper | LibreCat-ID: 29447
Specht, A., Ober-Blöbaum, S., Wallscheid, O., Romaus, C., & Böcker, J. (2013). Discretetime model of an IPMSM based on variational integrators. IEEE International Electric Machines & Drives Conference (IEMDC), 1411–1417.
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2013 | Conference Paper | LibreCat-ID: 29446
Ringkamp, M., Ober-Blöbaum, S., & Leyendecker, S. (2013). A numerical approach to multiobjective optimal control of multibody dynamics. ECCOMAS Thematic Conference on Multibody Dynamics.
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2013 | Conference Paper | LibreCat-ID: 29444
Demoures, F., Gay-Balmaz, F., Leitz, T., Leyendecker, S., Ober-Blöbaum, S., & Ratiu, T. S. (2013). Asynchronous variational Lie group integration for geometrically exact beam dynamics. Proceedings of Applied Mathematics and Mechanics, 13(1), 45–46.
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2013 | Conference Paper | LibreCat-ID: 29492
Ringkamp, M., Leyendecker, S., & Ober-Blöbaum, S. (2013). Multiobjective optimal control of a four-body kinematic chain. Proceedings of Applied Mathematics and Mechanics, 13(1), 27–28.
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2013 | Conference Paper | LibreCat-ID: 29445
Gail, T., Leyendecker, S., & Ober-Blöbaum, S. (2013). Computing time investigations of variational multirate systems. Proceedings of Applied Mathematics and Mechanics, 13(1), 43–44.
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2013 | Conference Paper | LibreCat-ID: 29490
Flaßkamp, K., Murphey, T., & Ober-Blöbaum, S. (2013). Optimization for discretized switched systems. Proceedings of Applied Mathematics and Mechanics, 13(1), 401–402.
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2012 | Conference Paper | LibreCat-ID: 29452
Ober-Blöbaum, S., Ringkamp, M., & zum Felde, G. (2012). Solving multiobjective optimal control problems in space mission design using discrete mechanics and reference point techniques. 51st IEEE International Conference on Decision and Control, 5711–5716.
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2012 | Journal Article | LibreCat-ID: 29409
Ringkamp, M., Ober-Blöbaum, S., Dellnitz, M., & Schütze, O. (2012). Handling high dimensional problems with multi-objective continuation methods via successive approximation of the tangent space. Engineering Optimization, 44(6), 1117–1146.
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2012 | Journal Article | LibreCat-ID: 29407
Moore, A., Ober-Blöbaum, S., & Marsden, J. E. (2012). Trajectory design combining invariant manifolds with discrete mechanics and optimal control. Journal of Guidance, Control, and Dynamics, 35(5), 1507–1525.
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2012 | Conference Paper | LibreCat-ID: 29451
Flaßkamp, K., Murphey, T., & Ober-Blöbaum, S. (2012). Switching time optimization in discretized hybrid dynamical systems. 51st IEEE International Conference on Decision and Control, 707–712.
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