On the Noether Invariance Principle for Constrained Optimal Control Problems

Delfim F. M. Torres

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On the Noether Invariance Principle for Constrained Optimal Control Problems

Delfim F. M. Torres

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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.

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Delfim F. M. Torres. 2004-07-23. On the Noether Invariance Principle for Constrained Optimal Control Problems. https://arxiv.org/abs/math/0407409

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