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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2016, Volume 1, Issue 2, Pages 44–58 (Mi chfmj18)  

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Numerical study of a robust control problem for the linearized quasistationary system of the phase field equations

M. V. Plekhanovaab, G. D. Baybulatovaa

a Chelyabinsk State University, Chelyabinsk, Russia
b South Ural State University, Chelyabinsk, Russia
Full-text PDF (707 kB) Citations (1)
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Abstract: The conditional gradient method is used for the numerical study of a robust control problem for the linearized quasistationary system of the phase field equations. The existence of a solution of the control problem is obtained, the method stability and approximation of solutions are proved. For some values of the problem parameters the numerical experiment was carried out.
Keywords: optimal control, system with distributed parameters, robust control problem, degenerate evolution equation, numerical solution, conditional gradient method.
Received: 02.05.2016
Revised: 12.06.2016
Bibliographic databases:
Document Type: Article
UDC: 517.977.5
Language: Russian
Citation: M. V. Plekhanova, G. D. Baybulatova, “Numerical study of a robust control problem for the linearized quasistationary system of the phase field equations”, Chelyab. Fiz.-Mat. Zh., 1:2 (2016), 44–58
Citation in format AMSBIB
\Bibitem{PleBay16}
\by M.~V.~Plekhanova, G.~D.~Baybulatova
\paper Numerical study of a robust control problem for the linearized quasistationary system of the phase field equations
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2016
\vol 1
\issue 2
\pages 44--58
\mathnet{http://mi.mathnet.ru/chfmj18}
\elib{https://elibrary.ru/item.asp?id=27541618}
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  • https://www.mathnet.ru/eng/chfmj/v1/i2/p44
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Chelyabinskiy Fiziko-Matematicheskiy Zhurnal
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