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Advances in optimal control of differential systems with the state suprema

dc.creatorVerriest E.I.spa
dc.creatorAzhmyakov V.spa
dc.date.accessioned2018-10-31T13:44:21Z
dc.date.available2018-10-31T13:44:21Z
dc.date.created2018
dc.identifier.isbn9781509028733
dc.identifier.urihttp://hdl.handle.net/11407/4886
dc.descriptionThis paper deals with a further development of analytic techniques for Optimal Control Problems (OCPs) involving differential systems with the state suprema. Differential equations evolving with state suprema (maxima) provide a useful modelling framework for various real-world applications, namely, in electrical engineering and in biology. The corresponding dynamic models lead to Functional Differential Equations (FDEs) in the presence of state-dependent delays. We study some particular (but important) cases of optimal control processes governed by systems with sup-operator in the right hand sides of the differential equations and obtain constructive characterizations of optimal solutions. The constrained OCPs we examine are formulated assuming the (linear) feedback-type control law. The case study presented in this article constitutes a formal extension of the concept of positive dynamic systems to differential systems with the state suprema. © 2017 IEEE.spa
dc.language.isoeng
dc.publisherInstitute of Electrical and Electronics Engineers Inc.spa
dc.relation.isversionofhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85046149590&doi=10.1109%2fCDC.2017.8263748&partnerID=40&md5=15857cd0b8e74fa217c3547b4f941b69spa
dc.sourceScopusspa
dc.subjectDifferential equationsspa
dc.subjectOptimal control systemsspa
dc.subjectAnalytic techniquespa
dc.subjectDifferential systemsspa
dc.subjectFunctional differential equationsspa
dc.subjectModelling frameworkspa
dc.subjectOptimal control problemspa
dc.subjectOptimal controlsspa
dc.subjectOptimal solutionsspa
dc.subjectState dependent delayspa
dc.subjectEquations of statespa
dc.titleAdvances in optimal control of differential systems with the state supremaspa
dc.typeConference Papereng
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.publisher.programCiencias Básicasspa
dc.contributor.affiliationVerriest, E.I., School of Electrical and Computer Engineering; Georgia Institute of Technology;Azhmyakov, V., Universidad de Medellinspa
dc.identifier.doi10.1109/CDC.2017.8263748
dc.relation.citationvolume2018-January
dc.relation.citationstartpage739
dc.relation.citationendpage744
dc.publisher.facultyFacultad de Ciencias Básicasspa
dc.relation.ispartofes2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017spa
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