Nonconservative Noether's Theorem in Optimal Control
Gastao S. F. Frederico, Delfim F. M. Torres
Abstract
We extend Noether's theorem to dynamical optimal control systems being under the action of nonconservative forces. A systematic way of calculating conservation laws for nonconservative optimal control problems is given. As a corollary, the conserved quantities previously obtained in the literature for nonconservative problems of mechanics and the calculus of variations are derived.
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