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IMA Journal of Mathematical Control and Information 1996 13(1):79-88; doi:10.1093/imamci/13.1.79
© 1996 by Institute of Mathematics and its Applications
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Controllability of second-order infinite-dimensional systems

JERZY KLAMKA

Institute of Automation, Technical University ul. Akademicka 16, 44–100 Gliwice, Poland

In the paper, the approximate controllability of linear abstract second-order infinite-dimensional dynamical systems is considered. Using the frequency-domain method, it is proved that approximate controllability of such a system follows from that of a suitably defined first-order system. The general results are then applied to investigating the approximate controllability of a vibratory dynamical system modelling a flexible mechanical structure. Some special case are also considered. Moreover, remarks and comments on the relationships between different concepts of controllability are given. The paper generalizes earlier results on second-order abstract dynamical systems.


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