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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
engineering
Fractional conservation laws in optimal control theory
Nonlinear Dynamics, Volume 53, No. 3, Year 2008
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Description
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.
Authors & Co-Authors
Frederico, Gastão S.F.
Cape Verde, Santiago
University of Cape Verde
Torres, Delfim F.M.
Portugal, Aveiro
Universidade de Aveiro
Statistics
Citations: 258
Authors: 2
Affiliations: 2
Identifiers
Doi:
10.1007/s11071-007-9309-z
ISSN:
0924090X