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94 Publications
2021 | Conference Paper | LibreCat-ID: 29868
Jiménez F, Ober-Blöbaum S. Fractional Damping Through Restricted Calculus of Variations. In: Nichtlineare Sci 31. Vol 46. J Nonlinear Sci . ; 2021.
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2020 | Journal Article | LibreCat-ID: 19938
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
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2020 | Journal Article | LibreCat-ID: 19939 | 
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
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2020 | Journal Article | LibreCat-ID: 29399
Limebeer DJN, Ober-Blöbaum S, Farshi FH. Variational integrators for dissipative systems. IEEE Transactions on Automatic Control. 2020;65(4):1381-1396.
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2020 | Journal Article | LibreCat-ID: 29398
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.
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2020 | Conference Paper | LibreCat-ID: 29422
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.
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2020 | Conference Paper | LibreCat-ID: 29423
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.
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2020 | Conference Paper | LibreCat-ID: 29424
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.
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2020 | Journal Article | LibreCat-ID: 29545
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
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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. The turnpike property in maximization of microbial metabolite production. In: ; 2020.
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2020 | Book Chapter | LibreCat-ID: 29413
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.
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2019 | Journal Article | LibreCat-ID: 19945 |
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
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2019 | Conference Paper | LibreCat-ID: 29867
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.
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2018 | Journal Article | LibreCat-ID: 19935
McLachlan RI, Offen C. Bifurcation of solutions to Hamiltonian boundary value problems. Nonlinearity. 2018:2895-2927. doi:10.1088/1361-6544/aab630
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2018 | Journal Article | LibreCat-ID: 19937
McLachlan RI, Offen C. Symplectic integration of boundary value problems. Numerical Algorithms. 2018:1219-1233. doi:10.1007/s11075-018-0599-7
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2018 | Conference Paper | LibreCat-ID: 29425
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.
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2018 | Conference Paper | LibreCat-ID: 29427
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.
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2018 | Preprint | LibreCat-ID: 19940 |
Offen C. Local intersections of Lagrangian manifolds correspond to catastrophe theory. arXiv:181110165.
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2018 | Journal Article | LibreCat-ID: 19943 |
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
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2017 | Conference Paper | LibreCat-ID: 29430
Gail T, Ober-Blöbaum S, Leyendecker S. Variational multirate integration in discrete mechanics and optimal control. In: ECCOMAS Thematic Conference on Multibody Dynamics. ; 2017.
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2016 | Conference Paper | LibreCat-ID: 29435
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.
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2016 | Conference Paper | LibreCat-ID: 29432
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.
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2016 | Conference Paper | LibreCat-ID: 29433
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.
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2016 | Conference Paper | LibreCat-ID: 29436
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.
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2015 | Journal Article | LibreCat-ID: 29402
Flaßkamp K, Hage-Packhäuser S, Ober-Blöbaum S. Symmetry exploiting control of hybrid mechanical systems. Journal of Computational Dynamics. 2015;2(1):25-50.
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2015 | Journal Article | LibreCat-ID: 29403
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.
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2014 | Conference Paper | LibreCat-ID: 29440
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.
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2014 | Conference Paper | LibreCat-ID: 29438
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.
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2014 | Book Chapter | LibreCat-ID: 20085
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
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2014 | Journal Article | LibreCat-ID: 29404
Ober-Blöbaum S, Saake N. Construction and analysis of higher order Galerkin variational integrators. Advances in Computational Mathematics. Published online 2014:1-32.
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2014 | Book Chapter | LibreCat-ID: 20080
Anacker H, Dellnitz M, Flaßkamp K, et al. Methods for the Design and Development. In: Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, Editors, Design Methodology for Intelligent Technical Systems. Lecture Notes in Mechanical Engineering. Springer Berlin Heidelberg; 2014:183-350. doi: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, et al. Dependability of Self-optimizing Mechatronic Systems. In: Lecture Notes in Mechanical Engineering. Springer; 2014.
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2014 | Book Chapter | LibreCat-ID: 29416
Dellnitz M, Dumitrescu R, Flaßkamp K, et al. The paradigm of self-optimization. In: Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, Editors, Design Methodology for Intelligent Technical Systems. Lecture Notes in Mechanical Engineering. Springer; 2014:1-25.
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2014 | Book Chapter | LibreCat-ID: 29414
Leitz T, Ober-Blöbaum S, Leyendecker S. Variational Lie group formulation of geometrically exact beam dynamics: Synchronous and asynchronous integration. In: Zdravko Terze, Multibody Dynamics. Vol 35. Computational Methods in Applied Sciences. Springer International Publishing; 2014:175-203.
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2013 | Conference Paper | LibreCat-ID: 29491
Gail T, Leyendecker S, Ober-Blöbaum S. Computing time investigations for variational multirate integration. In: Proceedings of Applied Mathematics and Mechanics. Vol 13(1). ; 2013:43-44.
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2013 | Book Chapter | LibreCat-ID: 29419
Schütze O, Witting K, Ober-Blöbaum S, Dellnitz M, Tantar E. Set oriented methods for the numerical treatment of multi-objective optimization problems. In: EVOLVE - A Bridge Between Probability, Set Oriented Numerics, and Evolutionary Computation. Studies in Computational Intelligence. Springer; 2013:187-219.
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2013 | Book Chapter | LibreCat-ID: 29418
Leyendecker S, Ober-Blöbaum S. A variational approach to multirate integration for constrained systems. In: Jean-Claude Samin and Paul Fisette, Editors, Multibody Dynamics. Vol 28. Computational Methods in Applied Sciences. Springer; 2013:97-121.
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2013 | Conference Paper | LibreCat-ID: 29441
Flaßkamp K, Ober-Blöbaum S, Schneider T, Böcker J. Optimal control of a switched reluctance drive by a direct method using a discrete variational principle. In: 52nd IEEE International Conference on Decision and Control . ; 2013:7467-7472.
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2013 | Conference Paper | LibreCat-ID: 29443
Ober-Blöbaum S, Seifried A. A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties. In: European Control Conference. ; 2013:204-209.
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2013 | Conference Paper | LibreCat-ID: 29442
Flaßkamp K, Murphey T, Ober-Blöbaum S. Discretized switching time optimization problems. In: European Control Conference. ; 2013:3179-3184.
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2013 | Conference Paper | LibreCat-ID: 29447
Specht A, Ober-Blöbaum S, Wallscheid O, Romaus C, Böcker J. Discretetime model of an IPMSM based on variational integrators. In: IEEE International Electric Machines & Drives Conference (IEMDC). ; 2013:1411-1417.
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2013 | Conference Paper | LibreCat-ID: 29446
Ringkamp M, Ober-Blöbaum S, Leyendecker S. A numerical approach to multiobjective optimal control of multibody dynamics. In: ECCOMAS Thematic Conference on Multibody Dynamics. ; 2013.
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2013 | Conference Paper | LibreCat-ID: 29444
Demoures F, Gay-Balmaz F, Leitz T, Leyendecker S, Ober-Blöbaum S, Ratiu TS. Asynchronous variational Lie group integration for geometrically exact beam dynamics. In: Proceedings of Applied Mathematics and Mechanics. Vol 13(1). ; 2013:45-46.
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2013 | Conference Paper | LibreCat-ID: 29492
Ringkamp M, Leyendecker S, Ober-Blöbaum S. Multiobjective optimal control of a four-body kinematic chain. In: Proceedings of Applied Mathematics and Mechanics. Vol 13(1). ; 2013:27-28.
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2013 | Conference Paper | LibreCat-ID: 29445
Gail T, Leyendecker S, Ober-Blöbaum S. Computing time investigations of variational multirate systems. In: Proceedings of Applied Mathematics and Mechanics. Vol 13(1). ; 2013:43-44.
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2013 | Conference Paper | LibreCat-ID: 29490
Flaßkamp K, Murphey T, Ober-Blöbaum S. Optimization for discretized switched systems. In: Proceedings of Applied Mathematics and Mechanics. Vol 13(1). ; 2013:401-402.
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2012 | Conference Paper | LibreCat-ID: 29452
Ober-Blöbaum S, Ringkamp M, zum Felde G. Solving multiobjective optimal control problems in space mission design using discrete mechanics and reference point techniques. In: 51st IEEE International Conference on Decision and Control. ; 2012:5711-5716.
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2012 | Journal Article | LibreCat-ID: 29409
Ringkamp M, Ober-Blöbaum S, Dellnitz M, Schütze O. Handling high dimensional problems with multi-objective continuation methods via successive approximation of the tangent space. Engineering Optimization. 2012;44(6):1117-1146.
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2012 | Journal Article | LibreCat-ID: 29407
Moore A, Ober-Blöbaum S, Marsden JE. Trajectory design combining invariant manifolds with discrete mechanics and optimal control. Journal of Guidance, Control, and Dynamics. 2012;35(5):1507-1525.
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2012 | Conference Paper | LibreCat-ID: 29451
Flaßkamp K, Murphey T, Ober-Blöbaum S. Switching time optimization in discretized hybrid dynamical systems. In: 51st IEEE International Conference on Decision and Control. ; 2012:707-712.
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