A sufficient condition for simultaneous stabilization
- 1 January 1993
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 38 (8) , 1264-1266
- https://doi.org/10.1109/9.233164
Abstract
In this note, we study the following problem, ''Under what condition(s) is it possible to find a single controller which stabilizes k single-input single-output linear time-invariant systems p(i)(s) (i = 1, ..., k)?''. We introduce the concept of avoidance in the complex plane and use it to derive a sufficient condition for k systems to be simultaneously stabilizable. A method for constructing a simultaneous stabilizing controller is also provided and illustrated by an exampleKeywords
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