Noether's Theorem for Fractional Optimal Control Problems

Details Noether's Theorem for Fractional Optimal Control Problems Noether's Theorem for Fractional Optimal Control Problems

2006-03-25

arxiv.org/abs/math/0603598v1

Proceedings of the 2nd IFAC Workshop on Fractional Differentiation and its Applications, 19-21 July 2006, Porto, pp. 142--147

Mathematics

Optimization and Control

To be presented at FDA'06 - 2nd IFAC Workshop on Fractional Differentiation and its Applications, 19-21 July 2006, Porto, Port

Scientific paper

10.3182/20060719-3-PT-4902.00013

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.

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