Controllability of second-order infinite-dimensional systems |
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Authors: | Jerzy Klamka,Janusz Wyrwa |
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Affiliation: | aInstitute of Control Engineering, Silesian University of Technology, Street Akademicka 16, 44-100 Gliwice, Poland |
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Abstract: | In the paper, the approximate controllability of linear abstract second-order infinite-dimensional dynamical systems is considered. It is proved using the frequency-domain method, that approximate controllability of second-order system can be verified by the approximate controllability conditions for the corresponding simplified first-order system. General results are then applied for approximate controllability investigation of a vibratory dynamical system modeling flexible mechanical structure. Some special cases are also considered. Moreover, remarks and comments on the relationships between different concepts of controllability are given. The paper extends earlier results on approximate controllability of second-order abstract dynamical systems. |
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Keywords: | Linear infinite-dimensional control systems Distributed parameter dynamical systems Mechanical flexible structures Controllability of abstract dynamical systems Frequency-domain methods for linear systems |
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