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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2007 Issue 2, Pages 103–112 (Mi at942)

This article is cited in 2 papers

Systems with Distributed Parameters

Problems of boundary observability of elastic vibrations described by the system of telegrapher equations

L. N. Znamenskayaa, Z. E. Potapovab

a Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalesskii, Russia
b Moscow Aviation Institute, Moscow, Russia

Abstract: Problems are solved for the observability of elastic vibrations described by various boundary problems for the system of telegrapher equations. The initial conditions that generate observable vibrations are found in the explicit form. The necessary time period of an observation is defined. The solutions of observation problems are given in the case of the classical and generalized solutions of the class $L_2$ of appropriate boundary problems.

PACS: 07.05.Dz

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

Received: 19.04.2006


 English version:
Automation and Remote Control, 2007, 68:2, 303–312

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© Steklov Math. Inst. of RAS, 2026