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Nonconservative Noether's Theorem in Optimal Control

Gastao S. F. Frederico·Delfim F. M. Torres
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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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Gastao S. F. Frederico, Delfim F. M. Torres. 2005-12-20. Nonconservative Noether's Theorem in Optimal Control. https://arxiv.org/abs/math/0512468

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