An optimal control problem for a system of linear hyperbolic differential equations with constant coefficients

In this paper, an optimal control problem is considered for a system of fourth order hyperbolic equations with constant coefficients. The gradient of the functional is calculated and the necessary and sufficient conditions of optimality in the form of an integral inequality are derived.

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Bibliographic Details
Published inGeorgian mathematical journal Vol. 22; no. 2; pp. 235 - 241
Main Authors Guliyev, Hamlet F., Nazarova, Vera B.
Format Journal Article
LanguageEnglish
Published De Gruyter 01.06.2015
Subjects
49K20
gradient of the functional
hyperbolic equation
Optimal control
optimality condition
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Summary:In this paper, an optimal control problem is considered for a system of fourth order hyperbolic equations with constant coefficients. The gradient of the functional is calculated and the necessary and sufficient conditions of optimality in the form of an integral inequality are derived.
ISSN:1072-947X
1572-9176
DOI:10.1515/gmj-2015-0012