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Avtomatika i Telemekhanika, 2007, Issue 2, Pages 103–112
(Mi at942)
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This article is cited in 2 scientific papers (total 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.
Citation:
L. N. Znamenskaya, Z. E. Potapova, “Problems of boundary observability of elastic vibrations described by the system of telegrapher equations”, Avtomat. i Telemekh., 2007, no. 2, 103–112; Autom. Remote Control, 68:2 (2007), 303–312
Linking options:
https://www.mathnet.ru/eng/at942 https://www.mathnet.ru/eng/at/y2007/i2/p103
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