Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/4091
Title: | Fractional conservation laws in optimal control theory |
Author: | Frederico, G.S.F. Torres, D.F.M. |
Keywords: | Conservation laws Fractional derivatives Noether's theorem Optimal control Symmetry |
Issue Date: | 2008 |
Publisher: | Springer Verlag |
Abstract: | Using the recent formulation of Noether's theorem for the problems of the calculus of variations with fractional derivatives, the Lagrange multiplier technique, and the fractional Euler-Lagrange equations, we prove a Noether-like theorem to the more general context of the fractional optimal control. As a corollary, it follows that in the fractional case the autonomous Hamiltonian does not define anymore a conservation law. Instead, it is proved that the fractional conservation law adds to the Hamiltonian a new term which depends on the fractional-order of differentiation, the generalized momentum and the fractional derivative of the state variable. © 2007 Springer Science+Business Media B.V. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/4091 |
ISSN: | 0924-090X |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[089]comGastao-Nonlinear-Dynamics.pdf | 315.87 kB | Adobe PDF | ![]() |
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