Gauge Symmetries and Noether Currents in Optimal Control
Optimization and Control
2007-05-23 v1
Abstract
We extend the second Noether theorem to optimal control problems which are invariant under symmetries depending upon k arbitrary functions of the independent variable and their derivatives up to some order m. As far as we consider a semi-invariance notion, and the transformation group may also depend on the control variables, the result is new even in the classical context of the calculus of variations.
Cite
@article{arxiv.math/0301116,
title = {Gauge Symmetries and Noether Currents in Optimal Control},
author = {Delfim F. M. Torres},
journal= {arXiv preprint arXiv:math/0301116},
year = {2007}
}
Comments
Partially presented at the 5th Portuguese Conference on Automatic Control (Controlo 2002), Aveiro, Portugal, September 5-7, 2002. Accepted for publication in Applied Mathematics E-Notes, Volume 3. See http://www.mat.ua.pt/delfim for other works