Nonconservative Noether's Theorem in Optimal Control

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dc.creatorFrederico, Gastao S. F.
dc.creatorTorres, Delfim F. M.
dc.date2005-12-20
dc.date.accessioned2026-07-07T06:55:34Z
dc.date.available2026-07-07T06:55:34Z
dc.descriptionWe extend Noether's theorem to dynamical optimal control systems being under the action of nonconservative forces. A systematic way of calculating conservation laws for nonconservative optimal control problems is given. As a corollary, the conserved quantities previously obtained in the literature for nonconservative problems of mechanics and the calculus of variations are derived.
dc.descriptionTo be presented at "13th IFAC Workshop on Control Applications of Optimisation", 26-28 April 2006, Paris - Cachan, France. Accepted (19-12-2005) for the Proceedings, IFAC publication, Elsevier Ltd, Oxford, UK
dc.identifierhttps://arxiv.org/abs/math/0512468
dc.identifierhttp://arxiv.org/abs/math/0512468
dc.identifierInt. J. Tomogr. Stat., Vol. 5, No. W07, 2007, pp. 109--114.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106320
dc.subjectOptimization and Control
dc.subjectMathematical Physics
dc.subject49K05; 49K15; 49S05; 70H33; 37J15; 93C10
dc.titleNonconservative Noether's Theorem in Optimal Control
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