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JOURNALS // Chelyabinskiy Fiziko-Matematicheskiy Zhurnal // Archive

Chelyab. Fiz.-Mat. Zh., 2016 Volume 1, Issue 2, Pages 44–58 (Mi chfmj18)

This article is cited 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

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.

UDC: 517.977.5

Received: 02.05.2016
Revised: 12.06.2016



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