Weak Conservation Laws for Minimizers which are not Pontryagin Extremals
Optimization and Control
2010-03-04 v1
Abstract
We prove a Noether-type symmetry theorem for invariant optimal control problems with unrestricted controls. The result establishes weak conservation laws along all the minimizers of the problems, including those minimizers which do not satisfy the Pontryagin Maximum Principle.
Keywords
Cite
@article{arxiv.math/0503415,
title = {Weak Conservation Laws for Minimizers which are not Pontryagin Extremals},
author = {Delfim F. M. Torres},
journal= {arXiv preprint arXiv:math/0503415},
year = {2010}
}
Comments
Accepted for presentation (Paper No: 113) at the 2nd International Conference "Physics and Control" (PhysCon 2005), August 24-26, 2005, Saint Petersburg, Russia. To appear in the respective Conference Proceedings