Controllability and stabilizability of linear time-varying distributed hereditary control systems

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorHenríquez, Hernán R.
dc.creatorArita, Andréa Cristina Prokopczyk
dc.date2015-04-27T11:56:02Z
dc.date2016-10-25T20:47:03Z
dc.date2015-04-27T11:56:02Z
dc.date2016-10-25T20:47:03Z
dc.date2014
dc.date.accessioned2017-04-06T08:10:15Z
dc.date.available2017-04-06T08:10:15Z
dc.identifierMathematical Methods in the Applied Sciences, v. 38, n. 11, p. 2250-2271, 2014.
dc.identifier0170-4214
dc.identifierhttp://hdl.handle.net/11449/122789
dc.identifierhttp://acervodigital.unesp.br/handle/11449/122789
dc.identifierhttp://dx.doi.org/10.1002/mma.3219
dc.identifier6846891446918549
dc.identifierhttp://onlinelibrary.wiley.com/doi/10.1002/mma.3219/abstract;jsessionid=4551A9AEB01C3FF6C074D7E56AE91979.f02t01
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/933408
dc.descriptionThis paper is concerned with the controllability and stabilizability problem for control systems described by a time-varyinglinear abstract differential equation with distributed delay in the state variables. An approximate controllability propertyis established, and for periodic systems, the stabilization problem is studied. Assuming that the semigroup of operatorsassociated with the uncontrolled and non delayed equation is compact, and using the characterization of the asymptoticstability in terms of the spectrum of the monodromy operator of the uncontrolled system, it is shown that the approximatecontrollability property is a sufficient condition for the existence of a periodic feedback control law that stabilizes thesystem. The result is extended to include some systems which are asymptotically periodic. Copyright © 2014 John Wiley &Sons, Ltd.
dc.languageeng
dc.relationMathematical Methods in the Applied Sciences
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectControllability of distributed hereditary control systems
dc.subjectStabilization of distributed hereditary control systems
dc.subjectPeriodic control systems
dc.subjectRetarded functional differential equations
dc.titleControllability and stabilizability of linear time-varying distributed hereditary control systems
dc.typeOtro


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