On Optimal Predefined-Time Stabilization

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dc.contributor.authorJiménez-Rodríguez, Esteban
dc.contributor.authorSánchez-Torres, Juan D.
dc.contributor.authorLoukianov, Alexander
dc.date.accessioned2017-03-03T20:28:15Z
dc.date.available2017-03-03T20:28:15Z
dc.date.issued2016-10
dc.descriptionThis paper addresses the problem of optimal predefined-time stability. Predefined-time stable systems are a class of fixed-time stable dynamical systems for which the minimum bound of the settling-time function can be defined a priori as a explicit parameter of the system. Sufficient conditions for a controller to solve the optimal predefined-time stabilization problem for a given system are provided. These conditions involve a Lyapunov function that satisfy both a certain differential inequality for guaranteeing predefined-time stability and the steady-state Hamilton-Jacobi-Bellman equation for guaranteeing optimality. Finally, this result is applied to the predefined-time optimization of the sliding manifold reaching phase.es
dc.description.sponsorshipITESO, A.C.es
dc.description.sponsorshipCINVESTAV-IPNes
dc.identifier.citationJiménez-Rodrıguez, E., Sánchez-Torres, J.D. and Loukianov, A. "On Optimal Predefined-Time Stabilization". XVII Latin American Conference of Automatic Control, IFAC, Medellín, Colombia, 2016, pp. 317--322.es
dc.identifier.urihttp://hdl.handle.net/11117/4260
dc.language.isoenges
dc.publisherInternational Federation of Automatic Controles
dc.relation.ispartofseriesLatin American Conference of Automatic Control;XVII
dc.rights.urihttp://quijote.biblio.iteso.mx/licencias/CC-BY-NC-2.5-MX.pdfes
dc.subjectHamilton-Jacobi-Bellman Equationes
dc.subjectLyapunov Functionses
dc.subjectOptimal Controles
dc.subjectPredefined-Time Stabilityes
dc.titleOn Optimal Predefined-Time Stabilizationes
dc.typeinfo:eu-repo/semantics/conferencePaperes
rei.peerreviewedYeses
rei.revisorQuintero, Olga L.

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