Symbolic Computation of Variational Symmetries in Optimal Control

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dc.creatorGouveia, Paulo D. F.
dc.creatorTorres, Delfim F. M.
dc.creatorRocha, Eugenio A. M.
dc.date2006-04-04
dc.date.accessioned2026-07-07T08:35:49Z
dc.date.available2026-07-07T08:35:49Z
dc.descriptionWe use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noether's first integrals, possibly in the presence of nonconservative external forces. As an application, we obtain eight independent first integrals for the sub-Riemannian nilpotent problem (2,3,5,8).
dc.descriptionPresented at the 4th Junior European Meeting on "Control and Optimization", Bialystok Technical University, Bialystok, Poland, 11-14 September 2005. Accepted (24-Feb-2006) to Control & Cybernetics
dc.identifierhttps://arxiv.org/abs/math/0604072
dc.identifierhttp://arxiv.org/abs/math/0604072
dc.identifierControl Cybernet. 35 (2006), no. 4, 831--849.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139868
dc.subjectOptimization and Control
dc.subject49K15; 49-04; 49S05
dc.titleSymbolic Computation of Variational Symmetries in Optimal Control
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