The consistency problem in optimal control: the degenerate case

Jorge Cortés and Sonia Martínez
Reports on Mathematical Physics, 51 (2/3) (2003), 171-186

Abstract:

We examine the problem of the consistency of the second-order differential equations associated with optimal control problems. This problem can be treated in a presymplectic framework by means of a constraint algorithm. Two cases may arise: the regular one, already considered in the literature, and the degenerate one. The main contribution of this paper is the proposal of a discrete transition law for the optimal trajectories that reach a singular point. This discrete law respects both the geometry and the dynamical structure of the optimal control problem.

File: main.pdf

Bib-tex entry:

@article{JC-SM:03,
author = {J. Cort\'es and S. Mart{\'\i}nez},
title = {The consistency problem in optimal control: the degenerate case},
journal= {Reports on Mathematical Physics},
volume = 51,
number = 2/3,
year = 2003,
pages = {171--186}
}