Nonconservative Noether's Theorem in Optimal Control

Details Nonconservative Noether's Theorem in Optimal Control Nonconservative Noether's Theorem in Optimal Control

2005-12-20

arxiv.org/abs/math/0512468v1

Int. J. Tomogr. Stat., Vol. 5, No. W07, 2007, pp. 109--114.

Mathematics

Optimization and Control

To be presented at "13th IFAC Workshop on Control Applications of Optimisation", 26-28 April 2006, Paris - Cachan, France. Acc

Scientific paper

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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