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 Fractional conservation laws in optimal control theory
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
authors: 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.
URI: http://hdl.handle.net/10773/4091
ISSN: 0924-090X
source: Nonlinear Dynamics
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