This article is cited in 9 papers

Two-end controllability of elastic vibrations of systems with distributed and lumped parameters

A. I. Egorov^a, L. N. Znamenskaya<sup>b

a</sup> Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
^b Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zaleskii, Yaroslavl oblast, 152020, Russia

Abstract: Boundary control problems for the vibrations of a system with distributed and lumped parameters are solved. The vibrations of a distributed-parameter object are described by boundary value problems with boundary conditions of various types. A lumped-parameter object is described by a second-order ordinary differential equation.

Key words: control of systems' vibrations, systems with distributed and lumped parameters, numerical-analytical solution method.

UDC: 519.626.2

Received: 16.03.2006

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:11, 1940–1952

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