Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations

dc.contributorEscolas::EMAp
dc.contributorFGV
dc.creatorSoledad Aronna, Maria
dc.creatorBonnans, J. F.
dc.creatorKröner, Axel
dc.date.accessioned2018-10-25T18:23:12Z
dc.date.available2018-10-25T18:23:12Z
dc.date.created2018-10-25T18:23:12Z
dc.date.issued2018
dc.identifier0025-5610
dc.identifierhttp://hdl.handle.net/10438/25125
dc.identifier10.1007/s10107-016-1093-4
dc.identifier2-s2.0-84997523804
dc.description.abstractIn this paper we consider second order optimality conditions for a bilinear optimal control problem governed by a strongly continuous semigroup operator, the control entering linearly in the cost function. We derive first and second order optimality conditions, taking advantage of the Goh transform. We then apply the results to the heat and wave equations. © 2016, Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society.
dc.languageeng
dc.publisherSpringer Verlag
dc.relationMathematical Programming
dc.rightsopenAccess
dc.sourceScopus
dc.subjectBilinear control systems
dc.subjectGoh transform
dc.subjectHeat equation
dc.subjectOptimal control
dc.subjectPartial differential equations
dc.subjectSecond-order optimality conditions
dc.subjectSemigroup theory
dc.subjectWave equation
dc.subjectCost functions
dc.subjectLinear control systems
dc.subjectOptimal control systems
dc.titleOptimal control of infinite dimensional bilinear systems: application to the heat and wave equations
dc.typeArticle (Journal/Review)


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