16 citations · 31 across the 5 of their papers we have counts for
Showing 2011Show all
2 papers · 1 filter
math-ph2011
Discrete second-order Euler-Poincaré equations. Applications to optimal control
Leonardo Colombo, Fernando Jimenez, David Martin de Diego
In this paper we will discuss some new developments in the design of numerical methods for optimal control problems of Lagrangian systems on Lie groups. We will construct these geo…
math-ph2011★ 13 cited
Hamiltonian dynamics and constrained variational calculus: continuous and discrete settings
Manuel de Leon, Fernando Jimenez, David Martin de Diego
The aim of this paper is to study the relationship between Hamiltonian dynamics and constrained variational calculus. We describe both using the notion of Lagrangian submanifolds o…