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94 Publications


2021 | Conference Paper | LibreCat-ID: 29868
Fractional Damping Through Restricted Calculus of Variations
F. Jiménez, S. Ober-Blöbaum, in: Nichtlineare Sci 31, 2021.
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2020 | Journal Article | LibreCat-ID: 19938
Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation
R.I. McLachlan, C. Offen, Foundations of Computational Mathematics 20 (2020) 1363–1400.
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2020 | Journal Article | LibreCat-ID: 19939 | OA
Detection of high codimensional bifurcations in variational PDEs
L.M. Kreusser, R.I. McLachlan, C. Offen, Nonlinearity 33 (2020) 2335–2363.
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2020 | Journal Article | LibreCat-ID: 29399
Variational integrators for dissipative systems
D.J.N. Limebeer, S. Ober-Blöbaum, F.H. Farshi, IEEE Transactions on Automatic Control 65(4) (2020) 1381–1396.
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2020 | Journal Article | LibreCat-ID: 29398
Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping
C.I.O. Hernández Castellanos, G. Schütze, J.-Q. Sun, S. Ober-Blöbaum, G. Morales-Luna, Mathematics 8(11):1959 (2020).
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2020 | Conference Paper | LibreCat-ID: 29422
A multirate variational approach to simulation and optimal control for flexible spacecraft
Y. Lishkova, S. Ober-Blöbaum, M. Cannon, S. Leyendecker, 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
A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, in: 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
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2020 | Conference Paper | LibreCat-ID: 29424
Modelling of the convection-diffusion equation through fractional restricted calculus of variations
J. Cresson, F. Jiménez, S. Ober-Blöbaum, in: 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
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2020 | Journal Article | LibreCat-ID: 29545
On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry
F. Jean, S. Maslovskaya, I. Zelenko, Geometriae Dedicata 213 (2020) 295–314.
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2020 | Conference Abstract | LibreCat-ID: 29546 | OA
The turnpike property in maximization of microbial metabolite production
S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, J.-B. Pomet, in: 2020.
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2020 | Book Chapter | LibreCat-ID: 29413
Symmetry in optimal control: A multiobjective model predictive control approach
K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 209–237.
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2019 | Journal Article | LibreCat-ID: 19945 | OA
Symplectic integration of PDEs using Clebsch variables
R.I. McLachlan, C. Offen, B.K. Tapley, Journal of Computational Dynamics 6 (2019) 111–130.
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2019 | Conference Paper | LibreCat-ID: 29867
Towards velocity turnpikes in optimal control of mechanical systems
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, in: IFAC-PapersOnLine (Ed.), 2019, pp. 490–495.
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2018 | Journal Article | LibreCat-ID: 19935
Bifurcation of solutions to Hamiltonian boundary value problems
R.I. McLachlan, C. Offen, Nonlinearity (2018) 2895–2927.
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2018 | Journal Article | LibreCat-ID: 19937
Symplectic integration of boundary value problems
R.I. McLachlan, C. Offen, Numerical Algorithms (2018) 1219–1233.
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2018 | Conference Paper | LibreCat-ID: 29425
Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives
F. Jiménez, S. Ober-Blöbaum, in: 6th European Conference on Computational Mechanics, 2018.
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2018 | Conference Paper | LibreCat-ID: 29427
A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings
F. Jiménez, S. Ober-Blöbaum, in: IFAC-PapersOnLine (Ed.), 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, 2018, pp. 50–55.
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2018 | Preprint | LibreCat-ID: 19940 | OA
Local intersections of Lagrangian manifolds correspond to catastrophe theory
C. Offen, ArXiv:1811.10165 (n.d.).
LibreCat | Files available | arXiv
 

2018 | Journal Article | LibreCat-ID: 19943 | OA
Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci
R.I. McLachlan, C. Offen, New Zealand Journal of Mathematics 48 (2018) 83–99.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 

2017 | Conference Paper | LibreCat-ID: 29430
Variational multirate integration in discrete mechanics and optimal control
T. Gail, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Thematic Conference on Multibody Dynamics, 2017.
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2016 | Conference Paper | LibreCat-ID: 29435
Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials
T. Wenger, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, 2016, pp. 1818–1831.
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2016 | Conference Paper | LibreCat-ID: 29432
Constrained Galerkin variational integrators and modified constrained symplectic Runge-Kutta methods
T. Wenger, S. Ober-Blöbaum, S. Leyendecker, in: International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), 2016.
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2016 | Conference Paper | LibreCat-ID: 29433
Reduced order model based multiobjective optimal control of fluids
S. Peitz, S. Ober-Blöbaum, M. Dellnitz, in: Proceedings of International Congress of Theoretical and Applied Mechanics, 2016.
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2016 | Conference Paper | LibreCat-ID: 29436
Optimal control of switching times in switched linear systems
B. Stellato, S. Ober-Blöbaum, P.J. Goulart, in: 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, pp. 7228–7233.
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2015 | Journal Article | LibreCat-ID: 29402
Symmetry exploiting control of hybrid mechanical systems
K. Flaßkamp, S. Hage-Packhäuser, S. Ober-Blöbaum, Journal of Computational Dynamics 2(1) (2015) 25–50.
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2015 | Journal Article | LibreCat-ID: 29403
High order variational integrators in the optimal control of mechanical systems
C.M. Campos, S. Ober-Blöbaum, E. Trélat, Discrete and Continuous Dynamical Systems 35(9) (2015) 4193–4223.
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2014 | Conference Paper | LibreCat-ID: 29440
Variational formulation and structure-preserving discretization of nonlinear electric circuits
S. Ober-Blöbaum, H. Lindhorst, in: 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
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2014 | Conference Paper | LibreCat-ID: 29438
On the role of quadrature rules and system dimensions in variational multirate integrators
T. Gail, S. Leyendecker, S. Ober-Blöbaum, in: 3rd Joint Interntaional Conference on Multibody System Dynamics , 2014.
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2014 | Book Chapter | LibreCat-ID: 20085
Case Study
A. Trächtler, B. Kleinjohann, C. Heinzemann, C. Rasche, C. Priesterjahn, D. Steenken, H. Wehrheim, J. Gausemeier, K. Flaßkamp, L. Kleinjohann, M. Krüger, P. Iwanek, P. Hartmann, R. Dorociak, S. Groesbrink, S. Ziegert, T. Meyer, W. Sextro, W. Schäfer, in: J. Gausemeier, F. Josef Rammig, W. Schäfer, W. Sextro (Eds.), Dependability of Self-Optimizing Mechatronic Systems, Springer Berlin Heidelberg, 2014, pp. 173–188.
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2014 | Journal Article | LibreCat-ID: 29404
Construction and analysis of higher order Galerkin variational integrators
S. Ober-Blöbaum, N. Saake, Advances in Computational Mathematics (2014) 1–32.
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2014 | Book Chapter | LibreCat-ID: 20080
Methods for the Design and Development
H. Anacker, M. Dellnitz, K. Flaßkamp, S. Grocsbrink, P. Hartmann, C. Heinzemann, C. Horenkamp, B. Kleinjohann, S. Korf, M. Krüger, W. Müller, S. Ober-Blöbaum, S. Oberthür, M. Porrmann, C. Priesterjahn, R. Radkowski, C. Rasche, J. Rieke, M. Ringkamp, K. Stahl, D. Steenken, J. Stöcklein, R. Timmermann, A. Trächtler, K. Witting, T. Xie, S. Ziegert, in: Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, Editors, Design Methodology for Intelligent Technical Systems, Springer Berlin Heidelberg, 2014, pp. 183–350.
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2014 | Book Chapter | LibreCat-ID: 29417
Dependability of Self-optimizing Mechatronic Systems
W. Dangelmeier, M. Dellnitz, R. Dorociak, K. Flaßkamp, J. Gausemeier, S. Groesbrink, P. Hartmann, C. Heinzemann, C. Hölscher, P. Iwanek, J.H. Keßler, B. Kleinjohann, L. Kleinjohann, S. Korf, M. Krüger, T. Meyer, W. Müller, S. Ober-Blöbaum, M. Porrmann, C. Priesterjahn, F.J. Rammig, C. Rasche, P. Reinold, W. Schäfer, A. Seifried, W. Sextro, C. Sondermann-Woelke, K. Stahl, D. Steenken, R. Timmermann, A. Trächtler, M. Vaßholz, H. Wehrheim, K. Witting, T. Xie, Y. Zhao, S. Ziegert, D. Zimmer, in: Lecture Notes in Mechanical Engineering, Springer, Heidelberg New York Dordrecht London, 2014.
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2014 | Book Chapter | LibreCat-ID: 29416
The paradigm of self-optimization
M. Dellnitz, R. Dumitrescu, K. Flaßkamp, J. Gausemeier, P. Hartmann, P. Iwanek, S. Korf, M. Krüger, S. Ober-Blöbaum, M. Porrmann, C. Priesterjahn, K. Stahl, A. Trächtler, M. Vaßholz, in: Jürgen Gausemeier, Franz Josef Rammig, and Wilhelm Schäfer, Editors, Design Methodology for Intelligent Technical Systems, Springer, Berlin Heidelberg, 2014, pp. 1–25.
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2014 | Book Chapter | LibreCat-ID: 29414
Variational Lie group formulation of geometrically exact beam dynamics: Synchronous and asynchronous integration
T. Leitz, S. Ober-Blöbaum, S. Leyendecker, in: Zdravko Terze, Multibody Dynamics, Springer International Publishing, 2014, pp. 175–203.
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2013 | Conference Paper | LibreCat-ID: 29491
Computing time investigations for variational multirate integration
T. Gail, S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics and Mechanics, 2013, pp. 43–44.
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2013 | Book Chapter | LibreCat-ID: 29419
Set oriented methods for the numerical treatment of multi-objective optimization problems
O. Schütze, K. Witting, S. Ober-Blöbaum, M. Dellnitz, E. Tantar, in: EVOLVE - A Bridge Between Probability, Set Oriented Numerics, and Evolutionary Computation, Springer, Berlin Heidelberg, 2013, pp. 187–219.
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2013 | Book Chapter | LibreCat-ID: 29418
A variational approach to multirate integration for constrained systems
S. Leyendecker, S. Ober-Blöbaum, in: Jean-Claude Samin and Paul Fisette, Editors, Multibody Dynamics, Springer, Netherlands, 2013, pp. 97–121.
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2013 | Conference Paper | LibreCat-ID: 29441
Optimal control of a switched reluctance drive by a direct method using a discrete variational principle
K. Flaßkamp, S. Ober-Blöbaum, T. Schneider, J. Böcker, in: 52nd IEEE International Conference on Decision and Control , 2013, pp. 7467–7472.
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2013 | Conference Paper | LibreCat-ID: 29443
A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties
S. Ober-Blöbaum, A. Seifried, in: European Control Conference, 2013, pp. 204–209.
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2013 | Conference Paper | LibreCat-ID: 29442
Discretized switching time optimization problems
K. Flaßkamp, T. Murphey, S. Ober-Blöbaum, in: European Control Conference, 2013, pp. 3179–3184.
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2013 | Conference Paper | LibreCat-ID: 29447
Discretetime model of an IPMSM based on variational integrators
A. Specht, S. Ober-Blöbaum, O. Wallscheid, C. Romaus, J. Böcker, in: IEEE International Electric Machines & Drives Conference (IEMDC), 2013, pp. 1411–1417.
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2013 | Conference Paper | LibreCat-ID: 29446
A numerical approach to multiobjective optimal control of multibody dynamics
M. Ringkamp, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Thematic Conference on Multibody Dynamics, 2013.
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2013 | Conference Paper | LibreCat-ID: 29444
Asynchronous variational Lie group integration for geometrically exact beam dynamics
F. Demoures, F. Gay-Balmaz, T. Leitz, S. Leyendecker, S. Ober-Blöbaum, T.S. Ratiu, in: Proceedings of Applied Mathematics and Mechanics, 2013, pp. 45–46.
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2013 | Conference Paper | LibreCat-ID: 29492
Multiobjective optimal control of a four-body kinematic chain
M. Ringkamp, S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics and Mechanics, 2013, pp. 27–28.
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2013 | Conference Paper | LibreCat-ID: 29445
Computing time investigations of variational multirate systems
T. Gail, S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics and Mechanics, 2013, pp. 43–44.
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2013 | Conference Paper | LibreCat-ID: 29490
Optimization for discretized switched systems
K. Flaßkamp, T. Murphey, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics and Mechanics, 2013, pp. 401–402.
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2012 | Conference Paper | LibreCat-ID: 29452
Solving multiobjective optimal control problems in space mission design using discrete mechanics and reference point techniques
S. Ober-Blöbaum, M. Ringkamp, G. zum Felde, in: 51st IEEE International Conference on Decision and Control, 2012, pp. 5711–5716.
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2012 | Journal Article | LibreCat-ID: 29409
Handling high dimensional problems with multi-objective continuation methods via successive approximation of the tangent space
M. Ringkamp, S. Ober-Blöbaum, M. Dellnitz, O. Schütze, Engineering Optimization 44(6) (2012) 1117–1146.
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2012 | Journal Article | LibreCat-ID: 29407
Trajectory design combining invariant manifolds with discrete mechanics and optimal control
A. Moore, S. Ober-Blöbaum, J.E. Marsden, Journal of Guidance, Control, and Dynamics 35(5) (2012) 1507–1525.
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2012 | Conference Paper | LibreCat-ID: 29451
Switching time optimization in discretized hybrid dynamical systems
K. Flaßkamp, T. Murphey, S. Ober-Blöbaum, in: 51st IEEE International Conference on Decision and Control, 2012, pp. 707–712.
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