2004/07/23 by Delfim F. M. Torres
Mathematics · #math.OC #msc:49K15
published as WSEAS Transactions on Mathematics, Issue 3, Vol. 3, July 2004, pp. 620--624. · 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
arxiv created 2004/07/23 · arxiv updated 2009/12/01
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.