Quadratures of Pontryagin Extremals for Optimal Control Problems

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dc.creatorRocha, Eugenio A. M.
dc.creatorTorres, Delfim F. M.
dc.date2005-11-14
dc.date.accessioned2026-07-07T08:35:49Z
dc.date.available2026-07-07T08:35:49Z
dc.descriptionWe obtain a method to compute effective first integrals by combining Noether's principle with the Kozlov-Kolesnikov integrability theorem. A sufficient condition for the integrability by quadratures of optimal control problems with controls taking values on open sets is obtained. We illustrate our approach on some problems taken from the literature. An alternative proof of the integrability of the sub-Riemannian nilpotent Lie group of type (2,3,5) is also given.
dc.descriptionPresented at the 4th Junior European Meeting on "Control and Optimization", Bialystok Technical University, Bialystok, Poland, 11-14 September 2005
dc.identifierhttps://arxiv.org/abs/math/0511355
dc.identifierhttp://arxiv.org/abs/math/0511355
dc.identifierControl Cybernet. 35 (2006), no. 4, 947--963.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139867
dc.subjectOptimization and Control
dc.subject49K15; 70H33; 37J15
dc.titleQuadratures of Pontryagin Extremals for Optimal Control Problems
dc.typetext

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