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Avtomatika i Telemekhanika, 2007, Issue 2, Pages 162–170
(Mi at948)
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Approximate Methods
A dual regularized method in a control problem of plate vibrations
A. Z. Ishmukhametova, R. Makhrousb a Dorodnitsyn Computer Center, Russian Academy of Sciences, Moscow, Russia
b Moscow Power Engineering Institute
Abstract:
A determination problem of external, surface-distributed controlling load that transfers a circular elastic plate from one prescribed initial state as close as possible to another prescribed finite state in a fixed period of time is considered. The problem is posed as a minimization problem of terminal quadratic quality functional on solutions to a linear equation that describes plate vibrations with controls in the right-hand side of the equation. Controls depend only on time, and their distribution on the plate surface is fixed. To solve this control problem, a dual regularized method is applied. A description of the solution algorithm is given, estimates of a rate of functional convergence and conditions of control convergence are obtained.
Citation:
A. Z. Ishmukhametov, R. Makhrous, “A dual regularized method in a control problem of plate vibrations”, Avtomat. i Telemekh., 2007, no. 2, 162–170; Autom. Remote Control, 68:2 (2007), 361–368
Linking options:
https://www.mathnet.ru/eng/at948 https://www.mathnet.ru/eng/at/y2007/i2/p162
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Statistics & downloads: |
Abstract page: | 291 | Full-text PDF : | 74 | References: | 74 | First page: | 1 |
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