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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 7, Pages 71–76 (Mi ivm3046)  
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Optimization of one class of hyperbolic systems with smooth controls

A. V. Arguchintsev, V. P. Poplevko

Chair of Optimization Methods, Irkutsk State University, Irkutsk, Russia
Full-text PDF (153 kB) Citations (2)
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Abstract: In this paper we consider the optimal control problem for a system of first-order hyperbolic equations. The right-hand side of this system is determined by a control system of ordinary differential equations. Admissible controls belong to the class of smooth functions. We obtain an optimality condition and propose a general scheme of improvement methods for the mentioned problem.
Keywords: hyperbolic systems, smooth controls, necessary optimality conditions, improvement method.
Received: 03.12.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 7, Pages 60–64
DOI: https://doi.org/10.3103/S1066369X0907007X
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. V. Arguchintsev, V. P. Poplevko, “Optimization of one class of hyperbolic systems with smooth controls”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 7, 71–76; Russian Math. (Iz. VUZ), 53:7 (2009), 60–64
Citation in format AMSBIB
\Bibitem{ArgPop09}
\by A.~V.~Arguchintsev, V.~P.~Poplevko
\paper Optimization of one class of hyperbolic systems with smooth controls
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 7
\pages 71--76
\mathnet{http://mi.mathnet.ru/ivm3046}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2584206}
\zmath{https://zbmath.org/?q=an:1180.49021}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 7
\pages 60--64
\crossref{https://doi.org/10.3103/S1066369X0907007X}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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