10 citations · 17 across the 2 of their papers we have counts for
2 papers
math.DS2004★ 10 cited
Discrete variational principles and Hamilton-Jacobi theory for mechanical systems and optimal control problems
Vincent M. Guibout, Anthony M. Bloch
In this paper we present a general framework that allows one to study discretization of certain dynamical systems. This generalizes earlier work on discretization of Lagrangian and…
math.DS2003★ 7 cited
Solving two-point boundary value problems using generating functions: Theory and Applications to optimal control and the study of Hamiltonian dynamical systems
Vincent M Guibout, Daniel J Scheeres
A methodology for solving two-point boundary value problems in phase space for Hamiltonian systems is presented. Using Hamilton-Jacobi theory in conjunction with the canonical tran…