A maximum principle for infinite time asymptotically stable impulsive dynamic control systems

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorPereira, Fernando Lobo
dc.creatorSilva, Geraldo Nunes
dc.date2014-05-27T11:25:22Z
dc.date2016-10-25T18:33:03Z
dc.date2014-05-27T11:25:22Z
dc.date2016-10-25T18:33:03Z
dc.date2010-12-01
dc.date.accessioned2017-04-06T01:47:49Z
dc.date.available2017-04-06T01:47:49Z
dc.identifierIFAC Proceedings Volumes (IFAC-PapersOnline), p. 1326-1331.
dc.identifier1474-6670
dc.identifierhttp://hdl.handle.net/11449/72096
dc.identifierhttp://acervodigital.unesp.br/handle/11449/72096
dc.identifier10.3182/20100901-3-IT-2016.00272
dc.identifier2-s2.0-80051768975
dc.identifierhttp://dx.doi.org/10.3182/20100901-3-IT-2016.00272
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/892999
dc.descriptionWe consider an infinite horizon optimal impulsive control problems for which a given cost function is minimized by choosing control strategies driving the state to a point in a given closed set C ∞. We present necessary conditions of optimality in the form of a maximum principle for which the boundary condition of the adjoint variable is such that non-degeneracy due to the fact that the time horizon is infinite is ensured. These conditions are given for conventional systems in a first instance and then for impulsive control problems. They are proved by considering a family of approximating auxiliary interval conventional (without impulses) optimal control problems defined on an increasing sequence of finite time intervals. As far as we know, results of this kind have not been derived previously. © 2010 IFAC.
dc.languageeng
dc.relationIFAC Proceedings Volumes (IFAC-PapersOnline)
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectControl
dc.subjectMaximum principle
dc.subjectNecessary conditions of optimality
dc.subjectOptimal stability
dc.subjectAdjoint variables
dc.subjectAsymptotically stable
dc.subjectClosed set
dc.subjectControl strategies
dc.subjectConventional systems
dc.subjectDynamic control systems
dc.subjectFinite time intervals
dc.subjectImpulsive controls
dc.subjectInfinite horizons
dc.subjectInfinite time
dc.subjectNon-degeneracy
dc.subjectOptimal control problem
dc.subjectOptimal impulsive control
dc.subjectTime horizons
dc.subjectControl theory
dc.subjectNonlinear control systems
dc.subjectOptimization
dc.subjectControl system stability
dc.titleA maximum principle for infinite time asymptotically stable impulsive dynamic control systems
dc.typeOtro


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