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dc.contributor.authorOhtsuka, Toshiyukien
dc.contributor.alternative大塚, 敏之ja
dc.date.accessioned2014-11-21T01:50:02Z-
dc.date.available2014-11-21T01:50:02Z-
dc.date.issued2014-11-
dc.identifier.issn0018-9286-
dc.identifier.urihttp://hdl.handle.net/2433/191217-
dc.description.abstractIn this technical note, a method of solving finite-horizon optimal control problems involving discrete-time rational systems is proposed. Sequences of algebraic equations for the control input and costate at each time are constructed backward, starting from the terminal condition, by the recursive elimination of variables in the optimality conditions. This recursive elimination can be viewed as a generalization of the classical backward sweep method to obtain the discrete-time Riccati equation for finite-horizon linear quadratic control. Sufficient conditions are given for the existence and uniqueness of locally optimal state feedback laws in the form of algebraic functions of the state.en
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.rights© 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.en
dc.rightsThis is not the published version. Please cite only the published version.en
dc.rightsこの論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。ja
dc.subjectDiscrete-time systemsen
dc.subjectEuler–Lagrange equations (ELE)en
dc.subjectnonlinear systemsen
dc.subjectoptimal controlen
dc.titleA Recursive Elimination Method for Finite-Horizon Optimal Control Problems of Discrete-Time Rational Systemsen
dc.typejournal article-
dc.type.niitypeJournal Article-
dc.identifier.ncidAA00667671-
dc.identifier.jtitleIEEE Transactions on Automatic Controlen
dc.identifier.volume59-
dc.identifier.issue11-
dc.identifier.spage3081-
dc.identifier.epage3086-
dc.relation.doi10.1109/TAC.2014.2321231-
dc.textversionauthor-
dcterms.accessRightsopen access-
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