19 citations · 19 across the 1 of their papers we have counts for
2 papers
math.NA2014
Geometric integrators for higher-order variational systems and their application to optimal control
Leonardo Colombo, Sebastián Ferraro, David Martín de Diego
Numerical methods that preserve geometric invariants of the system, such as energy, momentum or the symplectic form, are called geometric integrators. In this paper we present a me…
math.OC2012★ 19 cited
Discrete Variational Optimal Control
Fernando Jimenez, Marin Kobilarov, David Martin de Diego
This paper develops numerical methods for optimal control of mechanical systems in the Lagrangian setting. It extends the theory of discrete mechanics to enable the solutions of op…