Nonconservative Noether's Theorem in Optimal Control
最优化与控制
2007-05-23 v1 数学物理
math.MP
摘要
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.
引用
@article{arxiv.math/0512468,
title = {Nonconservative Noether's Theorem in Optimal Control},
author = {Gastao S. F. Frederico and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:math/0512468},
year = {2007}
}
备注
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