Nonconservative Noether's Theorem in Optimal Control

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.

To be presented at "13th IFAC Workshop on Control Applications of Optimisation", 26-28 April 2006, Paris - Cachan, France. Accepted (19-12-2005) for the Proceedings, IFAC publication, Elsevier Ltd, Oxford, UK

References in corpus (1)

• Quasi-Invariant Optimal Control Problems

Cited by in corpus (8)

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• Noether's Symmetry Theorem for Variational and Optimal Control Problems with Time Delay
• Constants of motion for fractional action-like variational problems
• Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense
• Symbolic Computation of Variational Symmetries in Optimal Control
• A Generalized Fractional Calculus of Variations