73 citations · 670 across the 56 of their papers we have counts for
4 papers · 1 filter
Hamilton-Jacobi theory in Cauchy data space
Cédirc M. Campos, Manuel de León, David Martín de Diego +1
Recently, M. de León el al. ([9]) have developed a geometric Hamilton-Jacobi theory for Classical Field Theories in the setting of multisymplectic geometry. Our purpose in the curr…
Generalized variational calculus for continuous and discrete mechanical systems
Viviana Alejandra Díaz, David Martín de Diego
In this paper, we consider a generalization of variational calculus which allows us to consider in the same framework different cases of mechanical systems, for instance, Lagrangia…
A geometric approach to the optimal control of nonholnomic mechanical systems
Anthony Bloch, Leonardo Colombo, Rohit Gupta +1
In this paper, we describe a constrained Lagrangian and Hamiltonian formalism for the optimal control of nonholonomic mechanical systems. In particular, we aim to minimize a cost f…
Isotropic submanifolds and the inverse problem for mechanical constrained systems
María Barbero-Liñán, Marta Farré Puiggalí, David Martín de Diego
The inverse problem of the calculus of variations consists in determining if the solutions of a given system of second order differential equations correspond with the solutions of…