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.
LibreCat: /record/29435

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.
LibreCat: /record/29432

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.
LibreCat: /record/29433

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.
LibreCat: /record/29436

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

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.
LibreCat: /record/29403

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.
LibreCat: /record/29440

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.
LibreCat: /record/29438

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.
LibreCat: /record/20085
DOI: 10.1007/978-3-642-53742-4_4

Construction and analysis of higher order Galerkin variational integrators
S. Ober-Blöbaum, N. Saake, Advances in Computational Mathematics (2014) 1–32.
LibreCat: /record/29404

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.
LibreCat: /record/20080
DOI: 10.1007/978-3-642-45435-6_5

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.
LibreCat: /record/29417

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.
LibreCat: /record/29416

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.
LibreCat: /record/29414

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.
LibreCat: /record/29491

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.
LibreCat: /record/29419

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.
LibreCat: /record/29418

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.
LibreCat: /record/29441

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.
LibreCat: /record/29443

Discretized switching time optimization problems
K. Flaßkamp, T. Murphey, S. Ober-Blöbaum, in: European Control Conference, 2013, pp. 3179–3184.
LibreCat: /record/29442

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.
LibreCat: /record/29447

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.
LibreCat: /record/29446

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.
LibreCat: /record/29444

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.
LibreCat: /record/29492

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.
LibreCat: /record/29445

Optimization for discretized switched systems
K. Flaßkamp, T. Murphey, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics and Mechanics, 2013, pp. 401–402.
LibreCat: /record/29490

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.
LibreCat: /record/29452

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.
LibreCat: /record/29409

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.
LibreCat: /record/29407

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.
LibreCat: /record/29451

Motion planning for mechanical systems with hybrid dynamics
K. Flaßkamp, S. Ober-Blöbaum, in: Progress in Industrial Mathematics at ECMI 2012, Mathematics in Industry (To Appear), Springer, 2012.
LibreCat: /record/29450

Higher order variational time discretization of optimal control problems
C.M. Campos, O. Junge, S. Ober-Blöbaum, in: 20th International Symposium on Mathematical Theory of Networks and Systems, 2012.
LibreCat: /record/29453

Energy efficient control for mechanical systems based on inherent dynamical structures
K. Flaßkamp, S. Ober-Blöbaum, in: American Control Conference, 2012, pp. 2609–2614.
LibreCat: /record/29454

Discrete mechanics and optimal control: Structure preserving integration for the optimal control of mechanical systems
S. Ober-Blöbaum, in: Proceedings of Oberwolfach Reports “‘Geometric Numerical Integration,’” 2011.
LibreCat: /record/29457

A variational approach to multirate integration for constrained systems
S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Oberwolfach Reports “‘Applied Dynamics and Geometric Mechanics,’” 2011.
LibreCat: /record/29455

Discrete mechanics and optimal control: an analysis
S. Ober-Blöbaum, O. Junge, J.E. Marsden, Control, Optimisation and Calculus of Variations 17(2) (2011) 322–352.
LibreCat: /record/29410

A variational approach to multirate integration for constrained systems
S. Leyendecker, S. Ober-Blöbaum, in: Paul Fisette and Jean-Claude Samin, Editors, ECCOMAS Thematic Conference: Multibody Dynamics: Computational Methods and Applications, 2011.
LibreCat: /record/29456

Berechnung optimaler Stromprofile für einen 6-phasigen, geschalteten Reluktanzantrieb
K. Flaßkamp, S. Ober-Blöbaum, M. Ringkamp, T. Schneider, C. Schulte, J. Böcker, in: 8. Paderborner Workshop Entwurf Mechatronischer Systeme, Heinz Nixdorf Institut Verlagsschriftreihe, Paderborn, Germany, 2011.
LibreCat: /record/29458

Variational multirate integration of constrained dynamics
S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics and Mechanics, 2011, pp. 53–54.
LibreCat: /record/29493

Variational integrators for electric circuits
S. Ober-Blöbaum, M. Tao, H. Owhadi, in: Proceedings of Applied Mathematics and Mechanics, 2011, pp. 783–784.
LibreCat: /record/29494

Mesh refinement strategies for spacecraft trajectory optimization using discrete mechanics and optimal control
A. Moore, S. Ober-Blöbaum, J.E. Marsden, in: 21st AAS/AIAA Space Flight Mechanics Meeting, 2011.
LibreCat: /record/29464

Discrete mechanics and optimal control for constrained systems
S. Leyendecker, S. Ober-Blöbaum, J.E. Marsden, M. Ortiz, Optimal Control, Applications and Methods 31(6) (2010) 505–528.
LibreCat: /record/29411

The effect of mesh refinement on spacecraft trajectory design using descrete mechanics and optimal control
A. Moore, S. Ober-Blöbaum, J.E. Marsden, in: 4th European Conference on Computational Mechanics , 2010.
LibreCat: /record/29468

Detecting initial guesses for trajectories in the (P)CRTBP
B. Thiere, S. Ober-Blöbaum, P. Pergola, in: AIAA/AAS Astrodynamics Specialist Conference, 2010.
LibreCat: /record/29467

Computation of derivatives for structure preserving optimal control using automatic differentiation
S. Ober-Blöbaum, A. Walther, in: Proceedings of Applied Mathematics and Mechanics, 2010, pp. 585–586.
LibreCat: /record/29496

Solving optimal control problems by using inherent dynamical properties
K. Flaßkamp, S. Ober-Blöbaum, M. Kobilarov, in: Proceedings of Applied Mathematics and Mechanics, 2010, pp. 577–578.
LibreCat: /record/29495

A multi-objective approach to the design of low thrust space trajectories using optimal control
M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, B. Thiere, Celestial Mechanics and Dynamical Astronomy 105 (2009) 33–59.
LibreCat: /record/29412

The Jacobi-Maupertuis principle in variational integrators
S. Nair, S. Ober-Blöbaum, J.E. Marsden, in: 7th International Conference of Numerical Analysis and Applied Mathematics, 2009, pp. 464–466.
LibreCat: /record/29470

Application of discrete mechanics and optimal control to spacecraft in non-Keplerian motion around small solar systems
M. Gehler, S. Ober-Blöbaum, B. Dachwald, in: Procceedings of the 60th International Astronautical Congress, 2009.
LibreCat: /record/29471

Optimization of spacecraft trajectories: a method combining invariant manifold techniques and descrete mechanics and optimal 
A. Moore, S. Ober-Blöbaum, J.E. Marsden, in: 19th AAS/AIAA Space Flight Mechanics Meeting, 2009.
LibreCat: /record/29473