International Journal of applied mathematics and computer science

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Paper details

Number 1 - June 1992
Volume 2 - 1992

Approximate controllability of second order dynamical systems

Jerzy Klamka

Abstract
In the paper linear, infinite-dimensional second-order dynamical systems defined in a separable Hilbert spaces are considered. U sing the spectral theory for linear, unbounded operators, necessary and sufficient conditions for various types of approximate controllability are formulated and proved. As an illustrative example approximate controllability of flexible mechanical dynamical system described by linear partial differential equations is investigated. Some additional remarks and comments on approximate controllability for different types of second-order abstract dynamical systems are also given. Approximate controllability conditions presented in this paper extend to the case of second-order dynamical systems the results given in some previous papers.

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