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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2011 Issue 1, Pages 66–79 (Mi at1268)

Deterministic Systems

On the asymptotics of solution of one problem of optimal control of the small-parameter parabolic equation

A. S. Omuraliev, R. R. Rafatov

"Manas" Kyrgyz-Turkish University, Bishkek, Kyrgyzstan

Abstract: For the singularly perturbed parabolic problem, a regularized asymptotics of the solution of the problem of optimal control was constructed. The solution asymptotics involves parabolic boundary-layer functions obeying a special function called the “complementary probability integral”.

Presented by the member of Editorial Board: V. I. Gurman

Received: 29.06.2009


 English version:
Automation and Remote Control, 2011, 72:1, 61–73

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