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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
Extension of Hamiltonian Mechanics to Non-Conservative Systems Via Higher-Order Dynamics
John W. Sanders, Eric T. Becker and Adam C. DeVoria Journal of Vibration and Acoustics 146(6) (2024) https://doi.org/10.1115/1.4067376
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
Wei Luo and Peter Eberhard Lecture Notes in Electrical Engineering, Informatics in Control, Automation and Robotics 1006 39 (2023) https://doi.org/10.1007/978-3-031-26474-0_3
Stochastic Variational Principles for Dissipative Equations with Advected Quantities
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
A control Hamiltonian-preserving discretisation for optimal control
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
Variational Integrators for Parameter Identification of Mechanical Systems
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
A Fractional Variational Approach for Modelling Dissipative Mechanical Systems:Continuous and Discrete Settings
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
Swing-up of the moving double pendulum on a cart with simulation based LQR-Trees
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
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
Conservation of generalized momentum maps in mechanical optimal control problems with symmetry
Peter Betsch and Christian Becker International Journal for Numerical Methods in Engineering 111(2) 144 (2017) https://doi.org/10.1002/nme.5459
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
Variational integrator for constrained mechanical systems with pulsed disturbances and optimal feedback control
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
Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics
Synthesis of Fibrous Complex Structures: Designing Microstructure to Deliver Targeted Macroscale Response
Francesco dell'Isola, David Steigmann and Alessandro Della Corte Applied Mechanics Reviews 67(6) (2015) https://doi.org/10.1115/1.4032206
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
Construction and analysis of higher order Galerkin variational integrators
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