On the Noether Invariance Principle for Constrained Optimal Control Problems

Details On the Noether Invariance Principle for Constrained Optimal Control Problems On the Noether Invariance Principle for Constrained Optimal Control Problems

2004-07-23

arxiv.org/abs/math/0407409v1

WSEAS Transactions on Mathematics, Issue 3, Vol. 3, July 2004, pp. 620--624.

Mathematics

Optimization and Control

To be presented at the 6th WSEAS International Conference on Applied Mathematics, Corfu, Greece, August 17-19, 2004. Accepted

Scientific paper

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.

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