David Martín de Diego

According to our database, David Martín de Diego authored at least 44 papers between 2002 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Symmetry Preservation in Hamiltonian Systems: Simulation and Learning.

Miguel Vaquero, Jorge Cortés, David Martín de Diego

J. Nonlinear Sci., December, 2024

Almost-Poisson Brackets for Nonholonomic Systems with Gyroscopic Terms and Hamiltonisation.

Luis C. García-Naranjo, Juan Carlos Marrero, David Martín de Diego, Paolo E. Petit Valdés

J. Nonlinear Sci., December, 2024

Reduction by Symmetries of Contact Mechanical Systems on Lie Groups.

Alexandre Anahory Simões, Leonardo J. Colombo, Manuel de León, Juan Carlos Marrero, David Martín de Diego, Edith Padrón

SIAM J. Appl. Algebra Geom., 2024

Approximating Symplectic Realizations: A General Framework for the Construction of Poisson Integrators.

Alejandro Cabrera, David Martín de Diego, Miguel Vaquero

CoRR, 2024

Constructing Dynamic Feedback Linearizable Discretizations.

Ashutosh Jindal, Florentina Nicolau, David Martín de Diego, Ravi N. Banavar

CoRR, 2024

Momentum-based gradient descent methods for Lie groups.

Cédric M. Campos, David Martín de Diego, José Torrente

CoRR, 2024

Designing Poisson Integrators Through Machine Learning.

Miguel Vaquero, David Martín de Diego, Jorge Cortés

CoRR, 2024

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

Shreyas N. B., David Martín de Diego, Ravi Banavar

CoRR, 2024

From retraction maps to symplectic-momentum numerical integrators.

María Barbero-Liñán, Juan Carlos Marrero, David Martín de Diego

CoRR, 2024

2023

Retraction Maps: A Seed of Geometric Integrators.

María Barbero-Liñán, David Martín de Diego

Found. Comput. Math., August, 2023

Variational integrators for non-autonomous Lagrangian systems.

Leonardo Colombo, Manuela Gamonal Fernández, David Martín de Diego

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

Discrete Variational Calculus for Accelerated Optimization.

Cédric M. Campos, Alejandro Mahillo, David Martín de Diego

J. Mach. Learn. Res., 2023

A nonholonomic Newmark method.

Alexandre Anahory Simoes, Sebastián J. Ferraro, Juan Carlos Marrero, David Martín de Diego

J. Comput. Appl. Math., 2023

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

Ashutosh Jindal, Ravi N. Banavar, David Martín de Diego

IEEE Control. Syst. Lett., 2023

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

José Ángel Acosta, Anthony M. Bloch, David Martín de Diego

CoRR, 2023

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

María Barbero-Liñán, David Martín de Diego, Rodrigo Takuro Sato Martín de Almagro

CoRR, 2023

Discrete gradient methods for irreversible port-Hamiltonian systems.

Alexandre Anahory Simoes, David Martín de Diego, Bernhard Maschke

CoRR, 2023

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

Alexandre Anahory Simoes, María Barbero-Liñán, Leonardo Colombo, David Martín de Diego

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

2022

Exact discrete Lagrangian mechanics for nonholonomic mechanics.

Alexandre Anahory Simoes, Juan Carlos Marrero, David Martín de Diego

Numerische Mathematik, 2022

A parallel iterative method for variational integration.

Sebastián J. Ferraro, David Martín de Diego, Rodrigo Takuro Sato Martín de Almagro

CoRR, 2022

Presymplectic integrators for optimal control problems via retraction maps.

María Barbero-Liñán, David Martín de Diego

CoRR, 2022

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

Leonardo Colombo, Manuela Gamonal Fernández, David Martín de Diego

CoRR, 2022

2021

On the Geometry of Discrete Contact Mechanics.

Alexandre Anahory Simoes, David Martín de Diego, Manuel Lainz Valcázar, Manuel de León

J. Nonlinear Sci., 2021

Parallel iterative methods for variational integration applied to navigation problems.

Sebastián J. Ferraro, David Martín de Diego, Rodrigo Sato Martín de Almagro

CoRR, 2021

A Discrete Variational Derivation of Accelerated Methods in Optimization.

Cédric M. Campos, Alejandro Mahillo, David Martín de Diego

CoRR, 2021

Extended retraction maps: a seed of geometric integrators.

María Barbero-Liñán, David Martín de Diego

CoRR, 2021

2020

Geometric Optimal Trajectory Tracking of Nonholonomic Mechanical Systems.

Leonardo J. Colombo, David Martín de Diego, Aradhana Nayak, Rodrigo Sato Martín de Almagro

SIAM J. Control. Optim., 2020

The Geometry of Some Thermodynamic Systems.

Alexandre Anahory Simoes, David Martín de Diego, Manuel Lainz Valcázar, Manuel de León

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

2019

Energy-Preserving Integrators Applied to Nonholonomic Systems.

Elena Celledoni, Marta Farré Puiggalí, Eirik Hoel Høiseth, David Martín de Diego

J. Nonlinear Sci., 2019

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

David Martín de Diego, Rodrigo Sato Martín de Almagro

CoRR, 2019

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

Leonardo Colombo, Héctor García de Marina, María Barbero-Liñán, David Martín de Diego

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

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

Aradhana Nayak, Rodrigo Sato Martín de Almagro, Leonardo Colombo, David Martín de Diego

Proceedings of the 2019 American Control Conference, 2019

2016

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

Leonardo Colombo, Sebastián J. Ferraro, David Martín de Diego

J. Nonlinear Sci., 2016

2015

Discrete Optimal Control.

David Martín de Diego

Proceedings of the Encyclopedia of Systems and Control, 2015

Morse Families In Optimal Control Problems.

María Barbero-Liñán, David Iglesias Ponte, David Martín de Diego

SIAM J. Control. Optim., 2015

Variational discretization for optimal control problems of nonholonomic mechanical systems.

Leonardo Colombo, Rohit Gupta, Anthony M. Bloch, David Martín de Diego

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

2013

Discrete Variational Optimal Control.

Fernando Jiménez, Marin Kobilarov, David Martín de Diego

J. Nonlinear Sci., 2013

2011

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

Leonardo Colombo, David Martín de Diego

CoRR, 2011

2010

A geometric approach to discrete mechanics for optimal control theory.

Fernando Jiménez, David Martín de Diego

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

2008

Discrete Nonholonomic Lagrangian Systems on Lie Groupoids.

David Iglesias Ponte, Juan Carlos Marrero, David Martín de Diego, 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''.

Sebastián J. Ferraro, David Martín de Diego

Eur. J. Control, 2007

Discrete variational integrators and optimal control theory.

Manuel de León, David Martín de Diego, Aitor Santamaría-Merino

Adv. Comput. Math., 2007

2004

Geometric Numerical Integration of Nonholonomic Systems and Optimal Control Problems.

Manuel de León, David Martín de Diego, Aitor Santamaría-Merino

Eur. J. Control, 2004

2002

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

Jorge Cortés, Manuel de León, David Martín de Diego, Sonia Martínez

SIAM J. Control. Optim., 2002