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Variational Integrators for a new Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term
Michael Konopik, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blöbaum and Rodrigo T. Sato Martín de Almagro Journal of Nonlinear Science 36(1) (2026) https://doi.org/10.1007/s00332-025-10229-5
On the variational discretisation of optimal control problems for unconstrained Lagrangian dynamics
Michael Konopik, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blöbaum and Rodrigo T. Sato Martín de Almagro Multibody System Dynamics (2026) https://doi.org/10.1007/s11044-025-10138-1
Monolithic and Staggered Solution Strategies for Constrained Mechanical Systems in Optimal Control Problems
Ashutosh Bijalwan, Simeon Schneider, Peter Betsch and José J Muñoz International Journal for Numerical Methods in Engineering 126(6) (2025) https://doi.org/10.1002/nme.70026
Muscle path predictions using a discrete geodesic Euler–Lagrange model in constrained optimisation: comparison with OpenSim and experimental data
A new Lagrangian approach to control affine systems with a quadratic Lagrange term
Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blöbaum, Rodrigo T. Sato Martín de Almagro and Flóra Orsolya Szemenyei Journal of Computational Dynamics (2024) https://doi.org/10.3934/jcd.2024017
Optimization-based trajectory planning for transport collaboration of heterogeneous systems
Discrete adjoint method for variational integration of constrained ODEs and its application to optimal control of geometrically exact beam dynamics
Matthias Schubert, Rodrigo T. Sato Martín de Almagro, Karin Nachbagauer, Sina Ober-Blöbaum and Sigrid Leyendecker Multibody System Dynamics 60(3) 447 (2024) https://doi.org/10.1007/s11044-023-09934-4
Time-Optimal Handover Trajectory Planning for Aerial Manipulators Based on Discrete Mechanics and Complementarity Constraints
Symplectic Integration Schemes for Systems With Nonlinear Dissipation
David J. N. Limebeer, Farhang Haddad Farshi and Sina Ober-Blöbaum IEEE Transactions on Automatic Control 68(4) 2338 (2023) https://doi.org/10.1109/TAC.2023.3235908
Michael Burger, Simon Gottschalk and Michael Roller Computational Methods in Applied Sciences, Multibody Dynamics 2019 53 68 (2020) https://doi.org/10.1007/978-3-030-23132-3_9
Variational Integrators for Dissipative Systems
David J. N. Limebeer, Sina Ober-Blobaum and Farhang Haddad Farshi IEEE Transactions on Automatic Control 65(4) 1381 (2020) https://doi.org/10.1109/TAC.2020.2965059
On optical data-guided optimal control simulations of human motion
Ramona Hoffmann, Bertram Taetz, Markus Miezal, Gabriele Bleser and Sigrid Leyendecker Multibody System Dynamics 48(1) 105 (2020) https://doi.org/10.1007/s11044-019-09701-4
A review of structure-preserving numerical methods for engineering applications
Advances in Dynamics, Optimization and Computation
Kathrin Flaßkamp, Sina Ober-Blöbaum and Sebastian Peitz Studies in Systems, Decision and Control, Advances in Dynamics, Optimization and Computation 304 209 (2020) https://doi.org/10.1007/978-3-030-51264-4_9
Variational integrator based optimal feedback control for constrained mechanical systems
Daniel Glaas and Sigrid Leyendecker ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 99(1) (2019) https://doi.org/10.1002/zamm.201700221
Epistemic uncertainty in optimal control simulation
Image Extrapolation for the Time Discrete Metamorphosis Model: Existence and Applications
Alexander Effland, Martin Rumpf and Florian Schäfer SIAM Journal on Imaging Sciences 11(1) 834 (2018) https://doi.org/10.1137/17M1129544
Discrete-Time Optimal Attitude Control of a Spacecraft with Momentum and Control Constraints
Karmvir Singh Phogat, Debasish Chatterjee and Ravi Banavar Journal of Guidance, Control, and Dynamics 41(1) 199 (2018) https://doi.org/10.2514/1.G002861
Inverse Dynamics for Discrete Geometric Mechanics of Multibody Systems With Application to Direct Optimal Control
Staffan Björkenstam, Sigrid Leyendecker, Joachim Linn, Johan S. Carlson and Bengt Lennartson Journal of Computational and Nonlinear Dynamics 13(10) (2018) https://doi.org/10.1115/1.4040780
Variational Integrators for Parameter Identification of Mechanical Systems
Discrete Mechanics and Optimal Control of Walking Gaits
M. W. Koch, M. Ringkamp and S. Leyendecker Journal of Computational and Nonlinear Dynamics 12(2) (2017) https://doi.org/10.1115/1.4035213
C1‐continuous space‐time discretization based on Hamilton's law of varying action
Janine C. Mergel, Roger A. Sauer and Sina Ober‐Blöbaum ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 97(4) 433 (2017) https://doi.org/10.1002/zamm.201600062
Ke Xu, Julia Timmermann and Ansgar Trachtler 1755 (2017) https://doi.org/10.1109/AIM.2017.8014272
Efficient Planning of Optimal Trajectory for a Furuta Double Pendulum Using Discrete Mechanics and Optimal Control
Optimal Control: Novel Directions and Applications
Maria Soledad Aronna, Daniela Tonon, Andrea Boccia, et al. Lecture Notes in Mathematics, Optimal Control: Novel Directions and Applications 2180 1 (2017) https://doi.org/10.1007/978-3-319-60771-9_1
Variational Integrators for Structure-Preserving Filtering
Jarvis Schultz, Kathrin Flaßkamp and Todd D. Murphey Journal of Computational and Nonlinear Dynamics 12(2) (2017) https://doi.org/10.1115/1.4034728
Variational integrators for open‐loop and closed‐loop optimal control of mechanical systems
Autonomous Suspended Load Operations via Trajectory Optimization and Variational Integrators
Gerardo De La Torre, Evangelos Theodorou and Eric N. Johnson Journal of Guidance, Control, and Dynamics 40(2) 278 (2017) https://doi.org/10.2514/1.G001769
On the time transformation of mixed integer optimal control problems using a consistent fixed integer control function
Towards Discrete Mechanics and Optimal Control for Complex Models * *Financial support by the European Commission within the H2020 project Spexor (GA 687662) is gratefully acknowledged
Natasha Bosanac, Kathleen C. Howell and Ephraim Fischbach Astrophysics and Space Science Proceedings, Astrodynamics Network AstroNet-II 44 1 (2016) https://doi.org/10.1007/978-3-319-23986-6_1
Optimal feedback control for constrained mechanical systems
Juan C. Marrero, David Martín de Diego and Eduardo Martínez Fields Institute Communications, Geometry, Mechanics, and Dynamics 73 285 (2015) https://doi.org/10.1007/978-1-4939-2441-7_13
Structured Linearization of Discrete Mechanical Systems for Analysis and Optimal Control
Symmetry exploiting control of hybrid mechanical systems
Kathrin Flasskamp, Sebastian Hage-Packhäuser and Sina Ober-Blöbaum Journal of Computational Dynamics 2(1) 25 (2015) https://doi.org/10.3934/jcd.2015.2.25
High order variational integrators in the optimal control of mechanical systems