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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
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
ISSN: 0924-090X
Appears in Collections:MAT - Artigos

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