This article is cited in 4 papers

Two-end observability of elastic vibrations in distributed and lumped parameter systems

L. N. Znamenskaya

Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

Abstract: The boundary observation problems (initial state reconstruction) of vibrations in objects with distributed and lumped parameters are solved. The vibrations in an object with distributed parameters are described by boundary value problems with boundary conditions of various types. An object with lumped parameters is described by a second-order ordinary differential equation.

Key words: elastic vibrations, observability, controllability, wave equation, distributed and lumped parameter systems.

UDC: 519.626

Received: 21.07.2006

 English version: Computational Mathematics and Mathematical Physics, 2007, 47:6, 900–914

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