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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2016, Volume 1, Issue 1, Pages 81–92
(Mi chfmj9)
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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
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.
Received: 06.11.2014 Revised: 02.02.2016
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
Linking options:
https://www.mathnet.ru/eng/chfmj9 https://www.mathnet.ru/eng/chfmj/v1/i1/p81
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Abstract page: | 296 | Full-text PDF : | 103 | References: | 27 |
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