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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 1, Pages 20–37
(Mi smj2287)
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This article is cited in 6 scientific papers (total 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.
Received: 18.02.2010 Revised: 11.07.2011
Citation:
S. A. Aisagaliev, A. P. Belogurov, “Controllability and speed of the process described by a parabolic equation with bounded control”, Sibirsk. Mat. Zh., 53:1 (2012), 20–37; Siberian Math. J., 53:1 (2012), 13–28
Linking options:
https://www.mathnet.ru/eng/smj2287 https://www.mathnet.ru/eng/smj/v53/i1/p20
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