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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2012 Volume 53, Number 1, Pages 20–37 (Mi smj2287)

This article is cited in 6 papers

Controllability and speed of the process described by a parabolic equation with bounded control

S. A. Aisagaliev, A. P. Belogurov

Al-Farabi Kazakh National University, Faculty of Mechanics and Mathematics, Almaty, Kazakhstan

Abstract: Addressing the problems of controllability and speed of the processes described by a parabolic equation with distributed control in a given set, we propose some methods for solving these problems by minimizing sequences.

Keywords: controllability, speed, integral equation, gradient, projection, convex functional, minimizing sequences, weak limit point, minimum-norm control, optimal speed.

UDC: 517.938

Received: 18.02.2010
Revised: 11.07.2011


 English version:
Siberian Mathematical Journal, 2012, 53:1, 13–28

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