Fractional conservation laws in optimal control theory

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dc.creatorFrederico, Gastao S. F.
dc.creatorTorres, Delfim F. M.
dc.date2007-11-05
dc.date.accessioned2026-07-07T09:46:58Z
dc.date.available2026-07-07T09:46:58Z
dc.descriptionUsing 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.
dc.descriptionThe original publication is available at http://www.springerlink.com Nonlinear Dynamics
dc.identifierhttps://arxiv.org/abs/0711.0609
dc.identifierhttp://arxiv.org/abs/0711.0609
dc.identifierNonlinear Dynamics, Vol. 53, No. 3, 2008, pp. 215--222.
dc.identifierdoi:10.1007/s11071-007-9309-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163713
dc.subjectOptimization and Control
dc.subjectMathematical Physics
dc.subject49K05; 26A33; 70H33
dc.titleFractional conservation laws in optimal control theory
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