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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2016, Volume 1, Issue 1, Pages 81–92 (Mi chfmj9)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Conditional gradient method for a robust control problem to a degenerate evolution system

M. V. Plekhanovaab, G. D. Baybulatovaa

a Chelyabinsk State University, Chelyabinsk, Russia
b South Ural State University (National Research University), Chelyabinsk, Russia
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Abstract: In the paper the conditional gradient method is used for the numerical resolving of a robust control problem by solutions of the linearized quasistationary phase field system of equations. The convergence of the method is proved, the existence of optimal control and solvability of the conjugate problem are established. For some values of the parameters a numerical experiment is carried out.
Keywords: optimal control, system with distributed parameters, robust control problem, degenerate evolution equation, numerical solution, conditional gradient method.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Z50.31.0020
Received: 06.11.2014
Revised: 02.02.2016
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: M. V. Plekhanova, G. D. Baybulatova, “Conditional gradient method for a robust control problem to a degenerate evolution system”, Chelyab. Fiz.-Mat. Zh., 1:1 (2016), 81–92
Citation in format AMSBIB
\Bibitem{PleBay16}
\by M.~V.~Plekhanova, G.~D.~Baybulatova
\paper Conditional gradient method for a robust control problem to a degenerate evolution system
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2016
\vol 1
\issue 1
\pages 81--92
\mathnet{http://mi.mathnet.ru/chfmj9}
\elib{https://elibrary.ru/item.asp?id=27541609}
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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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