A. Z. Ishmukhametov, R. Makhrous, “A dual regularized method in a control problem of plate vibrations”, Avtomat. i Telemekh., 2007, Issue 2,Pages <nobr>162

Approximate Methods

A dual regularized method in a control problem of plate vibrations

A. Z. Ishmukhametov^a, R. Makhrous^b

^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.

PACS: 02.30.Yy

Presented by the member of Editorial Board: V. N. Bukov

Received: 19.04.2006