Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2015, Volume 7, Issue 4, Pages 37–45
DOI: https://doi.org/10.14529/mmph150405 (Mi vyurm275) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

A numerical method of the solution of mixed control problems for Leontieff type systems

A. V. Keller, A. A. Ebel

South Ural State University, Chelyabinsk, Russia
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DOI: https://doi.org/10.14529/mmph150405
Abstract: The article presents exact and approximate solutions of mixed control problems. A detailed algorithm for the numerical method of the solution of mixed control problems is presented, the convergence of approximate solutions to the exact one is proved. Methods of the theory of degenerate (semi) groups, of the optimal control theory are used. The importance of the introduced functional quality which enables to solve applied problems in economics and engineering is shown.
Keywords: mixed control problem; Leontieff type system; numerical solution.
Received: 03.09.2015
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. V. Keller, A. A. Ebel, “A numerical method of the solution of mixed control problems for Leontieff type systems”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 7:4 (2015), 37–45
Citation in format AMSBIB
\Bibitem{KelEbe15}
\by A.~V.~Keller, A.~A.~Ebel
\paper A numerical method of the solution of mixed control problems for Leontieff type systems
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2015
\vol 7
\issue 4
\pages 37--45
\mathnet{http://mi.mathnet.ru/vyurm275}
\crossref{https://doi.org/10.14529/mmph150405}
\elib{https://elibrary.ru/item.asp?id=24389501}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:42
     
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