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Second-order necessary conditions in optimal control: Accessory-problem results without normality conditions
dc.contributor.authorGilbert, Elmer Granten_US
dc.contributor.authorBernstein, Dennis S.en_US
dc.date.accessioned2006-09-11T15:48:43Z
dc.date.available2006-09-11T15:48:43Z
dc.date.issued1983-09en_US
dc.identifier.citationGilbert, E. G.; Bernstein, D. S.; (1983). "Second-order necessary conditions in optimal control: Accessory-problem results without normality conditions." Journal of Optimization Theory and Applications 41(1): 75-106. <http://hdl.handle.net/2027.42/45219>en_US
dc.identifier.issn0022-3239en_US
dc.identifier.issn1573-2878en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/45219
dc.description.abstractAn optimal control problem, which includes restrictions on the controls and equality/inequality constraints on the terminal states, is formulated. Second-order necessary conditions of the accessory-problem type are obtained in the absence of normality conditions. It is shown that the necessary conditions generalize and simplify prior results due to Hestenes (Ref. 5) and Warga (Refs. 6 and 7).en_US
dc.format.extent1438007 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Mediaen_US
dc.subject.otherEngineering, Generalen_US
dc.subject.otherAccessory Problemen_US
dc.subject.otherNormality Conditionen_US
dc.subject.otherApplications of Mathematicsen_US
dc.subject.otherCalculus of Variations and Optimal Controlen_US
dc.subject.otherMathematicsen_US
dc.subject.otherTheory of Computationen_US
dc.subject.otherOptimizationen_US
dc.subject.otherOptimizationen_US
dc.subject.otherOperation Research/Decision Theoryen_US
dc.subject.otherOptimal Controlen_US
dc.subject.otherSecond-order Necessary Conditionsen_US
dc.subject.otherControl Constraintsen_US
dc.titleSecond-order necessary conditions in optimal control: Accessory-problem results without normality conditionsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumInformation, and Control Engineering Program and Department of Aerospace Engineering, University of Michigan, Ann Arbor, Michiganen_US
dc.contributor.affiliationotherControl Systems Engineering Group, MIT, Lincoln Laboratory, Lexington, Massachusettsen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/45219/1/10957_2004_Article_BF00934437.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF00934437en_US
dc.identifier.sourceJournal of Optimization Theory and Applicationsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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