David Martín de Diego

Jorge Cortés

CoRR, 2024

Feedback Linearizable Discretizations of Second Order Mechanical Systems using Retraction Maps.

[BibT_eX]

[DOI]

Shreyas N. B.

Ravi Banavar

CoRR, 2024

From retraction maps to symplectic-momentum numerical integrators.

[BibT_eX]

[DOI]

CoRR, 2024

2023

Retraction Maps: A Seed of Geometric Integrators.

[BibT_eX]

[DOI]

Found. Comput. Math., August, 2023

Variational integrators for non-autonomous Lagrangian systems.

[BibT_eX]

[DOI]

Manuela Gamonal Fernández

J. Comput. Appl. Math., May, 2023

Discrete Variational Calculus for Accelerated Optimization.

[BibT_eX]

[DOI]

Cédric M. Campos

Alejandro Mahillo

J. Mach. Learn. Res., 2023

A nonholonomic Newmark method.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2023

Constructing Feedback Linearizable Discretizations for Continuous-Time Systems Using Retraction Maps.

[BibT_eX]

[DOI]

Ashutosh Jindal

Ravi N. Banavar

IEEE Control. Syst. Lett., 2023

Completeness of Riemannian metrics: an application to the control of constrained mechanical systems.

[BibT_eX]

[DOI]

José Ángel Acosta

Anthony M. Bloch

CoRR, 2023

Symmetry Preservation in Hamiltonian Systems: Simulation and Learning.

[BibT_eX]

[DOI]

Miguel Vaquero

Jorge Cortés

CoRR, 2023

A new perspective on symplectic integration of constrained mechanical systems via discretization maps.

[BibT_eX]

[DOI]

Rodrigo Takuro Sato Martín de Almagro

CoRR, 2023

Discrete gradient methods for irreversible port-Hamiltonian systems.

[BibT_eX]

[DOI]

Bernhard Maschke

CoRR, 2023

Higher-Order Retraction Maps and Construction of Numerical Methods for Optimal Control of Mechanical Systems.

[BibT_eX]

[DOI]

Proceedings of the 62nd IEEE Conference on Decision and Control, 2023

2022

Exact discrete Lagrangian mechanics for nonholonomic mechanics.

[BibT_eX]

[DOI]

Numerische Mathematik, 2022

A parallel iterative method for variational integration.

[BibT_eX]

[DOI]

Rodrigo Takuro Sato Martín de Almagro

CoRR, 2022

Presymplectic integrators for optimal control problems via retraction maps.

[BibT_eX]

[DOI]

CoRR, 2022

Variational integrators for non-autonomous systems with applications to stabilization of multi-agent formations.

[BibT_eX]

[DOI]

Manuela Gamonal Fernández

CoRR, 2022

2021

On the Geometry of Discrete Contact Mechanics.

[BibT_eX]

[DOI]

Manuel Lainz Valcázar

J. Nonlinear Sci., 2021

Parallel iterative methods for variational integration applied to navigation problems.

[BibT_eX]

[DOI]

CoRR, 2021

A Discrete Variational Derivation of Accelerated Methods in Optimization.

[BibT_eX]

[DOI]

Cédric M. Campos

Alejandro Mahillo

CoRR, 2021

Extended retraction maps: a seed of geometric integrators.

[BibT_eX]

[DOI]

CoRR, 2021

2020

Geometric Optimal Trajectory Tracking of Nonholonomic Mechanical Systems.

[BibT_eX]

[DOI]

Leonardo J. Colombo

Aradhana Nayak

SIAM J. Control. Optim., 2020

The Geometry of Some Thermodynamic Systems.

[BibT_eX]

[DOI]

Manuel Lainz Valcázar

Proceedings of the Geometric Structures of Statistical Physics, Information Geometry, and Learning, 2020

2019

Energy-Preserving Integrators Applied to Nonholonomic Systems.

[BibT_eX]

[DOI]

Elena Celledoni

Marta Farré Puiggalí

Eirik Hoel Høiseth

J. Nonlinear Sci., 2019

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

[BibT_eX]

[DOI]

CoRR, 2019

On the observability of relative positions in left-invariant multi-agent control systems and its application to formation control.

[BibT_eX]

[DOI]

Héctor García de Marina

Proceedings of the 58th IEEE Conference on Decision and Control, 2019

Optimal Trajectory Tracking of Nonholonomic Mechanical Systems: a geometric approach.

[BibT_eX]

[DOI]

Aradhana Nayak

Proceedings of the 2019 American Control Conference, 2019

2016

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

[BibT_eX]

[DOI]

J. Nonlinear Sci., 2016

2015

Discrete Optimal Control.

[BibT_eX]

[DOI]

Proceedings of the Encyclopedia of Systems and Control, 2015

Morse Families In Optimal Control Problems.

[BibT_eX]

[DOI]

David Iglesias Ponte

SIAM J. Control. Optim., 2015

Variational discretization for optimal control problems of nonholonomic mechanical systems.

[BibT_eX]

[DOI]

Rohit Gupta

Anthony M. Bloch

Proceedings of the 54th IEEE Conference on Decision and Control, 2015

2013

Discrete Variational Optimal Control.

[BibT_eX]

[DOI]

Fernando Jiménez

Marin Kobilarov

J. Nonlinear Sci., 2013

2011

On the geometry of higher-order variational problems on Lie groups

[BibT_eX]

[DOI]

CoRR, 2011

2010

A geometric approach to discrete mechanics for optimal control theory.

[BibT_eX]

[DOI]

Fernando Jiménez

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

2008

Discrete Nonholonomic Lagrangian Systems on Lie Groupoids.

[BibT_eX]

[DOI]

David Iglesias Ponte

Eduardo Martínez

J. Nonlinear Sci., 2008

2007

Discussion on: ''Symmetry Reduction and Control of the Dynamics of a 2-D Rigid Circular Cylinder and a Point Vortex: Vortex Capture and Scattering''.

[BibT_eX]

[DOI]

Eur. J. Control, 2007

Discrete variational integrators and optimal control theory.

[BibT_eX]

[DOI]

Aitor Santamaría-Merino

Adv. Comput. Math., 2007

2004

Geometric Numerical Integration of Nonholonomic Systems and Optimal Control Problems.

[BibT_eX]

[DOI]

Aitor Santamaría-Merino

Eur. J. Control, 2004

2002

Geometric Description of Vakonomic and Nonholonomic Dynamics. Comparison of Solutions.

[BibT_eX]

[DOI]

Jorge Cortés