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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 4(33), Pages 34–45
DOI: https://doi.org/10.14498/vsgtu1134 (Mi vsgtu1134) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Differential Equations

Optimal control problem for the impulsive differential equations with non-local boundary conditions

Ya. A. Sharifovab

a Baku State University, Baku, AZ-1073/1, Azerbaijan
b Institute of Cybernetics named after Academician A. Huseynov, National Academy of Sciences of Aserbaijan, Baku, AZ1141, Azerbaijan
Full-text PDF (590 kB) Citations (7)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1134
Abstract: The optimal control problem is investigated, where the state of the controlled system is described by the impulsive differential equations with non-local boundary conditions. The existence and uniqueness of the non-local impulsive boundary problem by fixed admissible controls are proved using the contraction mapping principle. The gradient of the functional is calculated under certain conditions on the initial data. The necessary conditions for optimality of the first order are obtained.
Keywords: non-local boundary conditions, impulsive systems, necessary conditions of optimality, gradient of functional, existence and uniqueness of the solution.
Original article submitted 09/XI/2012
revision submitted – 21/IX/2013
Bibliographic databases:
Document Type: Article
UDC: 517.977.5
MSC: Primary 34B37; Secondary 49K15
Language: Russian
Citation: Ya. A. Sharifov, “Optimal control problem for the impulsive differential equations with non-local boundary conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(33) (2013), 34–45
Citation in format AMSBIB
\Bibitem{Sha13}
\by Ya.~A.~Sharifov
\paper Optimal control problem for the impulsive differential equations with non-local boundary conditions
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 4(33)
\pages 34--45
\mathnet{http://mi.mathnet.ru/vsgtu1134}
\crossref{https://doi.org/10.14498/vsgtu1134}
\zmath{https://zbmath.org/?q=an:06968802}
\elib{https://elibrary.ru/item.asp?id=21159183}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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