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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
On the Improved Efficiency of Higher-Order Dynamics for Computing Resonant Frequencies
Eric T. Becker, Daniel J. Inman and John W. Sanders Journal of Computational and Nonlinear Dynamics 20(8) (2025) https://doi.org/10.1115/1.4067985
Monolithic and Staggered Solution Strategies for Constrained Mechanical Systems in Optimal Control Problems
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
Optimal control of constrained mechanical systems in redundant coordinates: Formulation and structure-preserving discretization
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
Alexandre Anahory Simoes, Asier López-Gordón, Anthony Bloch and Leonardo Colombo 4587 (2023) https://doi.org/10.23919/ACC55779.2023.10156020
Predicting Sit-to-Stand Body Adaptation Using a Simple Model
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 biped model to predict a wide range of gait and posture results
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
Optimal Control of Dielectric Elastomer Actuated Multibody Dynamical Systems
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
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
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 order for forced Lagrangian systems II. Euler–Poincaré equations with forcing
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
Discrete mechanics and optimal control optimization of flapping wing dynamics for Mars exploration
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
A Fractional Variational Approach for Modelling Dissipative Mechanical Systems:Continuous and Discrete Settings
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
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
Variational integrator for constrained mechanical systems with pulsed disturbances and optimal feedback control
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
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
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
Efficient Planning of Optimal Trajectory for a Furuta Double Pendulum Using Discrete Mechanics and Optimal Control
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 integrators for open‐loop and closed‐loop optimal control of mechanical systems
Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics
Peter Betsch CISM International Centre for Mechanical Sciences, Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics 565 31 (2016) https://doi.org/10.1007/978-3-319-31879-0_2
Optimal feedback control for constrained mechanical systems
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
Symplectic Runge--Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More
Variational integrators for mechanical control systems with symmetries
Leonardo Colombo, Fernando Jiménez and David Martín de Diego Journal of Computational Dynamics 2(2) 193 (2015) https://doi.org/10.3934/jcd.2015003
Geometry, Mechanics, and Dynamics
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
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
High order variational integrators in the optimal control of mechanical systems
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