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Mathematics

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

M. V. Plekhanova^ab, G. D. Baybulatova<sup>a

a</sup> 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.

UDC: 517.977

Received: 06.11.2014
Revised: 02.02.2016

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