EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: COCV, 17 2 (2011) 322-352 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

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)
DOI: 10.1007/978-3-030-51264-4_9
See this article

Modeling, Simulation and Optimization of Bipedal Walking

Sigrid Leyendecker, David Pekarek and Jerrold E. Marsden
Cognitive Systems Monographs, Modeling, Simulation and Optimization of Bipedal Walking 18 99 (2013)
DOI: 10.1007/978-3-642-36368-9_8
See this article

Dependability of Self-Optimizing Mechatronic Systems

Rafal Dorociak and Juergen Gausemeier
Lecture Notes in Mechanical Engineering, Dependability of Self-Optimizing Mechatronic Systems 37 (2014)
DOI: 10.1007/978-3-642-53742-4_3
See this article

Design Methodology for Intelligent Technical Systems

Harald Anacker, Michael Dellnitz, Kathrin Flaßkamp, et al.
Lecture Notes in Mechanical Engineering, Design Methodology for Intelligent Technical Systems 183 (2014)
DOI: 10.1007/978-3-642-45435-6_5
See this article

Design Methodology for Intelligent Technical Systems

Michael Dellnitz, Roman Dumitrescu, Kathrin Flaßkamp, et al.
Lecture Notes in Mechanical Engineering, Design Methodology for Intelligent Technical Systems 1 (2014)
DOI: 10.1007/978-3-642-45435-6_1
See this article

Encyclopedia of Systems and Control

David Martin De Diego
Encyclopedia of Systems and Control 1 (2014)
DOI: 10.1007/978-1-4471-5102-9_47-1
See this article

Advances in Differential Equations and Applications

Cédric M. Campos
SEMA SIMAI Springer Series, Advances in Differential Equations and Applications 4 249 (2014)
DOI: 10.1007/978-3-319-06953-1_24
See this article

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)
DOI: 10.1007/978-3-319-31879-0_2
See this article

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)
DOI: 10.1007/978-3-319-60771-9_1
See this article

Solving optimal control problems by using inherent dynamical properties

Kathrin Flaßkamp, Sina Ober-Blöbaum and Marin Kobilarov
PAMM 10 (1) 577 (2010)
DOI: 10.1002/pamm.201010281
See this article

Variational Integrators for Parameter Identification of Mechanical Systems

Kathrin Flaßkamp, Kai Schäfer and Christof Büskens
PAMM 18 (1) e201800284 (2018)
DOI: 10.1002/pamm.201800284
See this article

Computation of derivatives for structure preserving optimal control using automatic differentiation

Sina Ober-Blöbaum and Andrea Walther
PAMM 10 (1) 585 (2010)
DOI: 10.1002/pamm.201010285
See this article

Discrete mechanics and mixed integer optimal control of dynamical systems

Maik Ringkamp, Sina Ober-Blöbaum and Sigrid Leyendecker
PAMM 14 (1) 919 (2014)
DOI: 10.1002/pamm.201410440
See this article

Multiobjective optimal control of a four-body kinematic chain

Maik Ringkamp, Sigrid Leyendecker and Sina Ober-Blöbaum
PAMM 13 (1) 27 (2013)
DOI: 10.1002/pamm.201310009
See this article

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)
DOI: 10.2514/1.G002861
See this article

Symplectic Approaches for Solving Two-Point Boundary-Value Problems

Haijun Peng, Qiang Gao, Zhigang Wu and Wanxie Zhong
Journal of Guidance, Control, and Dynamics 35 (2) 653 (2012)
DOI: 10.2514/1.55795
See this article

Swing-up of the moving double pendulum on a cart with simulation based LQR-Trees

Ke Xu, Julia Timmermann and Ansgar Trächtler
IFAC-PapersOnLine 50 (1) 4094 (2017)
DOI: 10.1016/j.ifacol.2017.08.794
See this article

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

Paul Manns and Katja Mombaur
IFAC-PapersOnLine 50 (1) 4812 (2017)
DOI: 10.1016/j.ifacol.2017.08.966
See this article

Higher Order Variational Integrators for Multibody System Dynamics with Constraints

Jieyu Ding and Zhenkuan Pan
Advances in Mechanical Engineering 6 383680 (2014)
DOI: 10.1155/2014/383680
See this article

Variational integrators for open-loop and closed-loop optimal control of mechanical systems

Kathrin Flaßkamp, Todd D. Murphey and Christof Büskens
PAMM 17 (1) 791 (2017)
DOI: 10.1002/pamm.201710363
See this article

Efficient Planning of Optimal Trajectory for a Furuta Double Pendulum Using Discrete Mechanics and Optimal Control

Jawad Ismail and Steven Liu
IFAC-PapersOnLine 50 (1) 10456 (2017)
DOI: 10.1016/j.ifacol.2017.08.1975
See this article

A Fractional Variational Approach for Modelling Dissipative Mechanical Systems:Continuous and Discrete Settings

Fernando Jiménez and Sina Ober-Blöbaum
IFAC-PapersOnLine 51 (3) 50 (2018)
DOI: 10.1016/j.ifacol.2018.06.013
See this article

Multibody Dynamics 2019

Michael Burger, Simon Gottschalk and Michael Roller
Computational Methods in Applied Sciences, Multibody Dynamics 2019 53 68 (2020)
DOI: 10.1007/978-3-030-23132-3_9
See this article

Variational order for forced Lagrangian systems

D Martín de Diego and R Sato Martín de Almagro
Nonlinearity 31 (8) 3814 (2018)
DOI: 10.1088/1361-6544/aac5a6
See this article

High order variational integrators in the optimal control of mechanical systems

Emmanuel Trélat, Sina Ober-Blöbaum and Cédric M. Campos
Discrete and Continuous Dynamical Systems 35 (9) 4193 (2015)
DOI: 10.3934/dcds.2015.35.4193
See this article

Optimal feedback control for constrained mechanical systems

Daniel Glaas and Sigrid Leyendecker
PAMM 16 (1) 55 (2016)
DOI: 10.1002/pamm.201610016
See this article

Symplectic Runge--Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More

J. M. Sanz-Serna
SIAM Review 58 (1) 3 (2016)
DOI: 10.1137/151002769
See this article

A natural autonomous force added in the restricted problem and explored via stability analysis and discrete variational mechanics

Natasha Bosanac, Kathleen C. Howell and Ephraim Fischbach
Astrophysics and Space Science 361 (2) (2016)
DOI: 10.1007/s10509-015-2638-3
See this article

Geometric Integrators for Higher-Order Variational Systems and Their Application to Optimal Control

Leonardo Colombo, Sebastián Ferraro and David Martín de Diego
Journal of Nonlinear Science 26 (6) 1615 (2016)
DOI: 10.1007/s00332-016-9314-9
See this article

Optimal Control on Stable Manifolds for a Double Pendulum

Kathrin Flaßkamp, Julia Timmermann, Sina Ober-Blöbaum, Michael Dellnitz and Ansgar Trächtler
PAMM 12 (1) 723 (2012)
DOI: 10.1002/pamm.201210350
See this article

Discrete Variational Optimal Control

Fernando Jiménez, Marin Kobilarov and David Martín de Diego
Journal of Nonlinear Science 23 (3) 393 (2013)
DOI: 10.1007/s00332-012-9156-z
See this article

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)
DOI: 10.1002/nme.5459
See this article

On the time transformation of mixed integer optimal control problems using a consistent fixed integer control function

Maik Ringkamp, Sina Ober-Blöbaum and Sigrid Leyendecker
Mathematical Programming 161 (1-2) 551 (2017)
DOI: 10.1007/s10107-016-1023-5
See this article

Structured Linearization of Discrete Mechanical Systems for Analysis and Optimal Control

Elliot Johnson, Jarvis Schultz and Todd Murphey
IEEE Transactions on Automation Science and Engineering 12 (1) 140 (2015)
DOI: 10.1109/TASE.2014.2333239
See this article

Variational integrators for electric circuits

Sina Ober-Blöbaum, Molei Tao, Mulin Cheng, Houman Owhadi and Jerrold E. Marsden
Journal of Computational Physics 242 498 (2013)
DOI: 10.1016/j.jcp.2013.02.006
See this article

Regular discretizations in optimal control theory

Antonio Fernández and Pedro L. García
Journal of Geometric Mechanics 5 (4) 415 (2013)
DOI: 10.3934/jgm.2013.5.415
See this article

Discrete variational Lie group formulation of geometrically exact beam dynamics

F. Demoures, F. Gay-Balmaz, S. Leyendecker, et al.
Numerische Mathematik 130 (1) 73 (2015)
DOI: 10.1007/s00211-014-0659-4
See this article

Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space

Maik Ringkamp, Sina Ober-Blöbaum, Michael Dellnitz and Oliver Schütze
Engineering Optimization 44 (9) 1117 (2012)
DOI: 10.1080/0305215X.2011.634407
See this article

Variational integrators for mechanical control systems with symmetries

David Martín de Diego, Fernando Jiménez and Leonardo Colombo
Journal of Computational Dynamics 2 (2) 193 (2016)
DOI: 10.3934/jcd.2015003
See this article

Construction and analysis of higher order Galerkin variational integrators

Sina Ober-Blöbaum and Nils Saake
Advances in Computational Mathematics 41 (6) 955 (2015)
DOI: 10.1007/s10444-014-9394-8
See this article

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)
DOI: 10.1002/zamm.201600062
See this article

Optimal control of underactuated mechanical systems: A geometric approach

Leonardo Colombo, David Martín De Diego and Marcela Zuccalli
Journal of Mathematical Physics 51 (8) 083519 (2010)
DOI: 10.1063/1.3456158
See this article

Symmetry exploiting control of hybrid mechanical systems

Sina Ober-Blöbaum, Sebastian Hage-Packhäuser and Kathrin Flasskamp
Journal of Computational Dynamics 2 (1) 25 (2015)
DOI: 10.3934/jcd.2015.2.25
See this article

Local path fitting: A new approach to variational integrators

O.T. Kosmas and D.S. Vlachos
Journal of Computational and Applied Mathematics 236 (10) 2632 (2012)
DOI: 10.1016/j.cam.2011.12.021
See this article

Implicit-Explicit Runge--Kutta Schemes for Numerical Discretization of Optimal Control Problems

M. Herty, L. Pareschi and S. Steffensen
SIAM Journal on Numerical Analysis 51 (4) 1875 (2013)
DOI: 10.1137/120865045
See this article

Variational Integrators for Structure-Preserving Filtering

Jarvis Schultz, Kathrin Flaßkamp and Todd D. Murphey
Journal of Computational and Nonlinear Dynamics 12 (2) 021005 (2017)
DOI: 10.1115/1.4034728
See this article

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) 101001 (2018)
DOI: 10.1115/1.4040780
See this article

Galerkin variational integrators and modified symplectic Runge–Kutta methods

Sina Ober-Blöbaum
IMA Journal of Numerical Analysis 37 (1) 375 (2017)
DOI: 10.1093/imanum/drv062
See this article

Solving Optimal Control Problems by Exploiting Inherent Dynamical Systems Structures

Kathrin Flaßkamp, Sina Ober-Blöbaum and Marin Kobilarov
Journal of Nonlinear Science 22 (4) 599 (2012)
DOI: 10.1007/s00332-012-9140-7
See this article

Time Discrete Geodesic Paths in the Space of Images

B. Berkels, A. Effland and M. Rumpf
SIAM Journal on Imaging Sciences 8 (3) 1457 (2015)
DOI: 10.1137/140970719
See this article

Astrodynamics Network AstroNet-II

Natasha Bosanac, Kathleen C. Howell and Ephraim Fischbach
Astrophysics and Space Science Proceedings, Astrodynamics Network AstroNet-II 44 1 (2016)
DOI: 10.1007/978-3-319-23986-6_1
See this article

Optimized flapping wing dynamics via DMOC approach

Zdravko Terze, Viktor Pandža, Marko Kasalo and Dario Zlatar
Nonlinear Dynamics 103 (1) 399 (2021)
DOI: 10.1007/s11071-020-06119-y
See this article

An Improved DMOC Method with Gradient Penalty Term

Lei Gao and Jie Yu Ding
Advanced Materials Research 945-949 2784 (2014)
DOI: 10.4028/www.scientific.net/AMR.945-949.2784
See this article

Variational integrator for constrained mechanical systems with pulsed disturbances and optimal feedback control

Daniel Glaas and Sigrid Leyendecker
PAMM 17 (1) 149 (2017)
DOI: 10.1002/pamm.201710044
See this article

Optimal control of a slot car racer

Johann Penner, Tristan Schlögl and Sigrid Leyendecker
PAMM 17 (1) 537 (2017)
DOI: 10.1002/pamm.201710238
See this article

Discrete Mechanics and Optimal Control of Walking Gaits

M. W. Koch, M. Ringkamp and S. Leyendecker
Journal of Computational and Nonlinear Dynamics 12 (2) 021006 (2017)
DOI: 10.1115/1.4035213
See this article

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) 060804 (2015)
DOI: 10.1115/1.4032206
See this article

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)
DOI: 10.1137/17M1129544
See this article

Fast Nonlinear Moving Horizon Estimation with Discrete Mechanics and Optimal Control

Ke Xu
IFAC-PapersOnLine 51 (20) 78 (2018)
DOI: 10.1016/j.ifacol.2018.10.178
See this article

A review of structure-preserving numerical methods for engineering applications

Harsh Sharma, Mayuresh Patil and Craig Woolsey
Computer Methods in Applied Mechanics and Engineering 366 113067 (2020)
DOI: 10.1016/j.cma.2020.113067
See this article

Epistemic uncertainty in optimal control simulation

Markus Eisentraudt and Sigrid Leyendecker
Mechanical Systems and Signal Processing 121 876 (2019)
DOI: 10.1016/j.ymssp.2018.12.001
See this article

A Variational Integrator for the distance-based formation control of multi-agent systems

Leonardo J. Colombo and Hector Garcia de Marina
IFAC-PapersOnLine 51 (23) 76 (2018)
DOI: 10.1016/j.ifacol.2018.12.014
See this article

Design optimization of dynamic flexible multibody systems using the discrete adjoint variable method

Mehran Ebrahimi, Adrian Butscher, Hyunmin Cheong and Francesco Iorio
Computers & Structures (2018)
DOI: 10.1016/j.compstruc.2018.12.007
See this article

Structure-preserving local optimal control of mechanical systems

Kathrin Flaßkamp and Todd D. Murphey
Optimal Control Applications and Methods 40 (2) 310 (2019)
DOI: 10.1002/oca.2479
See this article

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) e201700221 (2019)
DOI: 10.1002/zamm.201700221
See this article

Discrete mechanics and optimal control optimization of flapping wing dynamics for Mars exploration

Zdravko Terze, Viktor Pandža, Marko Kasalo and Dario Zlatar
Aerospace Science and Technology 106 106131 (2020)
DOI: 10.1016/j.ast.2020.106131
See this article

Simultaneous path planning and trajectory optimization for robotic manipulators using discrete mechanics and optimal control

Zeeshan Shareef and Ansgar Trächtler
Robotica 34 (6) 1322 (2016)
DOI: 10.1017/S0263574714002318
See this article

EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation

Oliver Schütze, Katrin Witting, Sina Ober-Blöbaum and Michael Dellnitz
Studies in Computational Intelligence, EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation 447 187 (2013)
DOI: 10.1007/978-3-642-32726-1_5
See this article

Multibody Dynamics

Sigrid Leyendecker and Sina Ober-Blöbaum
Computational Methods in Applied Sciences, Multibody Dynamics 28 97 (2013)
DOI: 10.1007/978-94-007-5404-1_5
See this article

Trajectory Design Combining Invariant Manifolds with Discrete Mechanics and Optimal Control

Ashley Moore, Sina Ober-Blöbaum and Jerrold E. Marsden
Journal of Guidance, Control, and Dynamics 35 (5) 1507 (2012)
DOI: 10.2514/1.55426
See this article

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)
DOI: 10.1007/s11044-019-09701-4
See this article

Explicit multiobjective model predictive control for nonlinear systems with symmetries

Sina Ober‐Blöbaum and Sebastian Peitz
International Journal of Robust and Nonlinear Control 31 (2) 380 (2021)
DOI: 10.1002/rnc.5281
See this article

Minimizing control variation in discrete-time optimal control problems

Ying Zhang, Changjun Yu, Yingtao Xu and Kok Lay Teo
Journal of Computational and Applied Mathematics 292 292 (2016)
DOI: 10.1016/j.cam.2015.07.010
See this article

Variational Integrators for Dissipative Systems

David Limebeer, Sina Ober-Bloebaum and Farhang Haddad Farshi
IEEE Transactions on Automatic Control 1 (2020)
DOI: 10.1109/TAC.2020.2965059
See this article

A discrete-time Pontryagin maximum principle on matrix Lie groups

Karmvir Singh Phogat, Debasish Chatterjee and Ravi N. Banavar
Automatica 97 376 (2018)
DOI: 10.1016/j.automatica.2018.08.026
See this article

Variational order for forced Lagrangian systems II. Euler–Poincaré equations with forcing

D Martín de Diego and R T Sato Martín de Almagro
Nonlinearity 33 (8) 3709 (2020)
DOI: 10.1088/1361-6544/ab8bb1
See this article

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)
DOI: 10.2514/1.G001769
See this article