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Advances in optimal control of differential systems with the state suprema
dc.creator | Verriest E.I. | spa |
dc.creator | Azhmyakov V. | spa |
dc.date.accessioned | 2018-10-31T13:44:21Z | |
dc.date.available | 2018-10-31T13:44:21Z | |
dc.date.created | 2018 | |
dc.identifier.isbn | 9781509028733 | |
dc.identifier.uri | http://hdl.handle.net/11407/4886 | |
dc.description | This 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.iso | eng | |
dc.publisher | Institute of Electrical and Electronics Engineers Inc. | spa |
dc.relation.isversionof | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85046149590&doi=10.1109%2fCDC.2017.8263748&partnerID=40&md5=15857cd0b8e74fa217c3547b4f941b69 | spa |
dc.source | Scopus | spa |
dc.subject | Differential equations | spa |
dc.subject | Optimal control systems | spa |
dc.subject | Analytic technique | spa |
dc.subject | Differential systems | spa |
dc.subject | Functional differential equations | spa |
dc.subject | Modelling framework | spa |
dc.subject | Optimal control problem | spa |
dc.subject | Optimal controls | spa |
dc.subject | Optimal solutions | spa |
dc.subject | State dependent delay | spa |
dc.subject | Equations of state | spa |
dc.title | Advances in optimal control of differential systems with the state suprema | spa |
dc.type | Conference Paper | eng |
dc.rights.accessrights | info:eu-repo/semantics/restrictedAccess | |
dc.publisher.program | Ciencias Básicas | spa |
dc.contributor.affiliation | Verriest, E.I., School of Electrical and Computer Engineering; Georgia Institute of Technology;Azhmyakov, V., Universidad de Medellin | spa |
dc.identifier.doi | 10.1109/CDC.2017.8263748 | |
dc.relation.citationvolume | 2018-January | |
dc.relation.citationstartpage | 739 | |
dc.relation.citationendpage | 744 | |
dc.publisher.faculty | Facultad de Ciencias Básicas | spa |
dc.relation.ispartofes | 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017 | spa |
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dc.type.version | info:eu-repo/semantics/publishedVersion | |
dc.type.driver | info:eu-repo/semantics/conferenceObject |
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