Abstract
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 cases 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.
| Original language | English |
|---|---|
| Pages (from-to) | 79-88 |
| Number of pages | 10 |
| Journal | IMA Journal of Mathematical Control and Information |
| Volume | 13 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Mar 1996 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Control and Optimization
- Applied Mathematics
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