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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2009 Volume 9, Number 1-2, Pages 94–104 (Mi dvmg22)

Synthesis of optimal control for Hartmann MHD flow

O. S. Kolesova

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: The problem of optimal control for one dimensional magneto hydrodynamics flow between plane–parallel (the Hartmann flow) s considered. The difference of pressure by unit length of the channel is assumed as a control. Necessary and sufficient conditions of optimality and representation an optimal control as the feedback were found.

Key words: MHD flow, optimal control problem, feedback control.

UDC: 517.9

MSC: 49K20

Received: 08.05.2009



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