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 Avtomat. i Telemekh.: Year: Volume: Issue: Page: Find

 Avtomat. i Telemekh., 2007, Issue 2, Pages 162–170 (Mi at948)

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.

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English version:
Automation and Remote Control, 2007, 68:2, 361–368

Bibliographic databases:

PACS: 02.30.Yy
Presented by the member of Editorial Board: Â. Í. Áóêîâ

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

Citation in format AMSBIB
\Bibitem{IshMak07} \by A.~Z.~Ishmukhametov, R.~Makhrous \paper A~dual regularized method in a control problem of plate vibrations \jour Avtomat. i Telemekh. \yr 2007 \issue 2 \pages 162--170 \mathnet{http://mi.mathnet.ru/at948} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2301556} \zmath{https://zbmath.org/?q=an:1126.49029} \transl \jour Autom. Remote Control \yr 2007 \vol 68 \issue 2 \pages 361--368 \crossref{https://doi.org/10.1134/S0005117907020166} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947111576}