On a certain problem on feedback control for a parabolic equation with memory


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Abstract

A game control problem for a parabolic differential equation with memory is considered. An algorithm for its solution based on Krasovskii’s method of extreme shift and the method of stable paths is proposed.

About the authors

V. I. Maksimov

Krasovskii Institute of Mathematics and Mechanics, Ural Division

Author for correspondence.
Email: maksimov@imm.uran.ru
Russian Federation, Yekaterinburg, 620990

P. G. Surkov

Krasovskii Institute of Mathematics and Mechanics, Ural Division; Ural Federal University

Email: maksimov@imm.uran.ru
Russian Federation, Yekaterinburg, 620990; Yekaterinburg, 620002

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