4 citations · 8 across the 6 of their papers we have counts for
6 papers
Lagrangian neural networks for nonholonomic mechanics
Viviana Alejandra Diaz, Leandro Martin Salomone, Marcela Zuccalli
Lagrangian Neural Networks (LNNs) are a powerful tool for addressing physical systems, particularly those governed by conservation laws. LNNs can parametrize the Lagrangian of a sy…
Griffiths Variational Multisymplectic Formulation for Lovelock Gravity
Santiago Capriotti, Jordi Gaset, Narciso Román-Roy +1
This work is mainly devoted to constructing a multisymplectic description of Lovelock's gravity, which is an extension of General Relativity. We establish a Griffiths variational p…
Variational reduction of Hamiltonian systems with general constraints
Sergio Grillo, Leandro Salomone, Marcela Zuccalli
In the Hamiltonian formalism, and in the presence of a symmetry Lie group, a variational reduction procedure has already been developed for Hamiltonian systems without constraints.…
Explicit solutions of the kinetic and potential matching conditions of the energy shaping method
Sergio D. Grillo, Leandro M. Salomone, Marcela Zuccalli
In this paper we present a procedure to integrate, up to quadratures, the matching conditions of the energy shaping method. We do that in the context of underactuated Hamiltonian s…
Asymptotic Stabilizability of Underactuated Hamiltonian Systems With Two Degrees of Freedom
Sergio Grillo, Leandro Salomone, Marcela Zuccalli
For an underactuated (simple) Hamiltonian system with two degrees of freedom and one degree of underactuation, a rather general condition that ensures its stabilizability, by means…
On the relationship between the energy shaping and the Lyapunov constraint based methods
Sergio Grillo, Leandro Salomone, Marcela Zuccalli
In this paper, we make a review of the controlled Hamiltonians (CH) method and its related matching conditions, focusing on an improved version recently developed by D.E. Chang. Al…