On the Noether Invariance Principle for Constrained Optimal Control Problems
arXiv:math/0407409
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.
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