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Necessary and Sufficient Conditions of Optimality for a Damped Hyperbolic Equation in One-Space Dimension

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dc.contributor.authorKucuk, Ismail
dc.contributor.authorYildirim, Kenan
dc.date.accessioned2026-06-27T13:29:44Z
dc.date.issued2014
dc.description.abstractThe present paper deals with the necessary optimality condition for a class of distributed parameter systems in which the system is modeled in one-space dimension by a hyperbolic partial differential equation subject to the damping and mixed constraints on state and controls. Pontryagin maximum principle is derived to be a necessary condition for the controls of such systems to be optimal. With the aid of some convexity assumptions on the constraint functions, it is obtained that the maximum principle is also a sufficient condition for the optimality.en
dc.description.urihttps://doi.org/10.1155/2014/493130
dc.identifier.doi10.1155/2014/493130
dc.identifier.eissn1687-0409
dc.identifier.issn1085-3375
dc.identifier.urihttps://hdl.handle.net/20.500.14981/53199
dc.identifier.wos000336143000001
dc.language.isoeng
dc.publisherHINDAWI PUBLISHING CORPORATION
dc.relation.ispartofABSTRACT AND APPLIED ANALYSIS
dc.rightsopenAccess
dc.subjectWEAK MAXIMUM PRINCIPLE
dc.subjectSTATE CONSTRAINTS
dc.subjectFEEDBACK CONTROLS
dc.subjectSYSTEMS
dc.subjectPROOF
dc.subjectDIFFERENTIABILITY
dc.subjectSTABILIZATION
dc.subjectMathematics
dc.titleNecessary and Sufficient Conditions of Optimality for a Damped Hyperbolic Equation in One-Space Dimension
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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