Noether's Theorem for Fractional Optimal Control Problems
Optimization and Control
2010-10-25 v1 Mathematical Physics
math.MP
Abstract
We begin by reporting on some recent results of the authors (Frederico and Torres, 2006), concerning the use of the fractional Euler-Lagrange notion to prove a Noether-like theorem for the problems of the calculus of variations with fractional derivatives. We then obtain, following the Lagrange multiplier technique used in (Agrawal, 2004), a new version of Noether's theorem to fractional optimal control systems.
Cite
@article{arxiv.math/0603598,
title = {Noether's Theorem for Fractional Optimal Control Problems},
author = {Gastao S. F. Frederico and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:math/0603598},
year = {2010}
}
Comments
To be presented at FDA'06 - 2nd IFAC Workshop on Fractional Differentiation and its Applications, 19-21 July 2006, Porto, Portugal. Accepted (07-March-2006) for the Conference Proceedings