Quadratures of Pontryagin Extremals for Optimal Control Problems
Optimization and Control
2007-10-14 v1
Abstract
We obtain a method to compute effective first integrals by combining Noether's principle with the Kozlov-Kolesnikov integrability theorem. A sufficient condition for the integrability by quadratures of optimal control problems with controls taking values on open sets is obtained. We illustrate our approach on some problems taken from the literature. An alternative proof of the integrability of the sub-Riemannian nilpotent Lie group of type (2,3,5) is also given.
Cite
@article{arxiv.math/0511355,
title = {Quadratures of Pontryagin Extremals for Optimal Control Problems},
author = {Eugenio A. M. Rocha and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:math/0511355},
year = {2007}
}
Comments
Presented at the 4th Junior European Meeting on "Control and Optimization", Bialystok Technical University, Bialystok, Poland, 11-14 September 2005