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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 2, Pages 75–84 (Mi ivm8777)  
This article is cited in 18 scientific papers (total in 18 papers)

Optimal control of impulsive systems with nonlocal boundary conditions

Ya. A. Sharifovab

a Baku State University, Baku, Republic of Azerbaijan
b Institute of Cybernetics, National Academy of Sciences, Republic of Azerbaijan, Baku, Republic of Azerbaijan
Full-text PDF (199 kB) Citations (18)
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Abstract: In this paper we study an optimal control problem, where states of a control system are described by impulsive differential equations with nonlocal boundary conditions. With the help of the contraction principle we prove the existence and uniqueness of a solution to the corresponding boundary value problem with fixed admissible controls. We calculate the first and second variations of the functional. Using the variation of controls, we establish various necessary optimality conditions of the second order.
Keywords: nonlocal boundary conditions, optimal control, impulsive systems, existence and uniqueness of solutions.
Received: 11.01.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 2, Pages 65–72
DOI: https://doi.org/10.3103/S1066369X13020084
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: Ya. A. Sharifov, “Optimal control of impulsive systems with nonlocal boundary conditions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 2, 75–84; Russian Math. (Iz. VUZ), 57:2 (2013), 65–72
Citation in format AMSBIB
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\by Ya.~A.~Sharifov
\paper Optimal control of impulsive systems with nonlocal boundary conditions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 2
\pages 75--84
\mathnet{http://mi.mathnet.ru/ivm8777}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 2
\pages 65--72
\crossref{https://doi.org/10.3103/S1066369X13020084}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84878401963}
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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