On the Noether Invariance Principle for Constrained Optimal Control Problems
Optimization and Control
2007-05-23 v1
Abstract
We obtain a generalization of Noether's invariance principle for optimal control problems with equality and inequality state-input constraints. The result relates the invariance properties of the problems with the existence of conserved quantities along the constrained Pontryagin extremals. A result of this kind was posed as an open question by Vladimir Tikhomirov, in 1986.
Cite
@article{arxiv.math/0407409,
title = {On the Noether Invariance Principle for Constrained Optimal Control Problems},
author = {Delfim F. M. Torres},
journal= {arXiv preprint arXiv:math/0407409},
year = {2007}
}
Comments
To be presented at the 6th WSEAS International Conference on Applied Mathematics, Corfu, Greece, August 17-19, 2004. Accepted for publication in the journal WSEAS Transactions on Mathematics