OPTIMAL CONTROL OF FIRST-ORDER UNDIVIDED INCLUSIONS

The article is devoted to the optimization of first-order evolution inclusions (DFI) with undivided conditions. Optimality conditions are formulated in terms of locally adjoint mappings (LAMs). The construction of "duality relations" is an indispensable approach for the differential inclus...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 13; no. 3; p. 1013
Main Authors Mahmudov, E.N, Mastaliyeva, D.M
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2023
Elman Hasanoglu
Subjects
Approximation
Continuous bridges
Inclusions
Mathematical models
Mathematical research
Mathematics
Optimal control
Optimization
Turkey
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ISSN2146-1147
2146-1147

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Summary:The article is devoted to the optimization of first-order evolution inclusions (DFI) with undivided conditions. Optimality conditions are formulated in terms of locally adjoint mappings (LAMs). The construction of "duality relations" is an indispensable approach for the differential inclusions. In this case, the presence of discrete-approximate problems is a bridge between discrete and continuous problems. At the end of the article, as an example, we consider duality in optimization problems with linear discrete and first-order polyhedral DFIs. Keywords: Endpoint and state constraints, infimal convolution, necessary and sufficient, duality, conjugate, Euler-Lagrange. AMS Subject Classification: 34A60, 49N15, 49M25, 90C46.
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ISSN:2146-1147
2146-1147