73 citations · 670 across the 56 of their papers we have counts for
5 papers · 1 filter
Constructing Dynamic Feedback Linearizable Discretizations
Ashutosh Jindal, Florentina Nicolau, David Martin Diego +1
Dynamic feedback linearization-based methods allow us to design control algorithms for a fairly large class of nonlinear systems in continuous time. However, this feature does not…
Momentum-based gradient descent methods for Lie groups
Cédric M. Campos, David Martín de Diego, José Torrente-Teruel
Polyak's Heavy Ball (PHB; Polyak, 1964), a.k.a. Classical Momentum, and Nesterov's Accelerated Gradient (NAG; Nesterov, 1983) are well-established momentum-descent methods for opti…
Designing Poisson Integrators Through Machine Learning
Miguel Vaquero, David Martín de Diego, Jorge Cortés
This paper presents a general method to construct Poisson integrators, i.e., integrators that preserve the underlying Poisson geometry. We assume the Poisson manifold is integrable…
From retraction maps to symplectic-momentum numerical integrators
María Barbero-Liñán, Juan Carlos Marrero, David Martín de Diego
Retraction maps have been generalized to discretization maps in (Barbero Liñán and and Mart\'ın de Diego, 2022). Discretization maps are used to systematically derive numerical int…
Metriplectic Euler-Poincaré equations: smooth and discrete dynamics
Anthony Bloch, Marta Farré Puiggalí, David Martín de Diego
In this paper we will study some interesting properties of modifications of the Euler-Poincaré equations when we add a special type of dissipative force, so that the equations of m…