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On the Optimal Control of Multidimensional Dynamic Systems Evolving with State Suprema

dc.creatorAzhmyakov V.
dc.creatorVerriest E.I.
dc.creatorGuzman Trujillo L.A.
dc.creatorPickl S.W.
dc.date2019
dc.date.accessioned2021-02-05T14:59:36Z
dc.date.available2021-02-05T14:59:36Z
dc.identifier.isbn9781538613955
dc.identifier.issn7431546
dc.identifier.urihttp://hdl.handle.net/11407/6098
dc.descriptionThis paper constitutes a further generalization of the numerical solution approaches to Optimal Control Problems (OCPs) of systems evolving with state suprema. We study multidimensional control systems described by differential equations with the sup-operator in the right hand sides. A specific state-observer model and the linear type feedback control design under consideration imply a resulting closed-loop system that can formally be characterized as a multidimensional Functional Differential Equation (FDE) with delays. We study OCPs associated with the obtained FDEs and establish some fundamental solution properties of this class of problems. A particular structure of the resulting dynamic optimization problem makes it possible to consider the originally given sophisticated OCP in the framework of the nonlinear separate programming in some Euclidean spaces. This fact makes it possible to apply effective and relative simple splitting type computational algorithms to the initially given sophisticated OCPs for systems evolving with state suprema. © 2018 IEEE.
dc.language.isoeng
dc.publisherInstitute of Electrical and Electronics Engineers Inc.
dc.relation.isversionofhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85062167718&doi=10.1109%2fCDC.2018.8618934&partnerID=40&md5=d5f98e2b84ba3a0b6f17ab5c16bd7912
dc.sourceProceedings of the IEEE Conference on Decision and Control
dc.titleOn the Optimal Control of Multidimensional Dynamic Systems Evolving with State Suprema
dc.typeConference Papereng
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.identifier.doi10.1109/CDC.2018.8618934
dc.relation.citationvolume2018-December
dc.relation.citationstartpage61
dc.relation.citationendpage66
dc.publisher.facultyFacultad de Ciencias Básicasspa
dc.affiliationAzhmyakov, V., Department of Basic Sciences, Universidad de Medellin, Medellin, Colombia
dc.affiliationVerriest, E.I., School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332, United States
dc.affiliationGuzman Trujillo, L.A., School for Engineers in Sciences and Technology, University of Angers, Angers, France
dc.affiliationPickl, S.W., Institute für Theoretische Informatik, Mathematik und Operations Research Universität der Bundeswehr München, München, Germany
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dc.type.driverinfo:eu-repo/semantics/other


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