1993 • Journal Article
A Sufficient Condition for Simultaneous Stabilization
Authors:
Blondel, Vincent ,
Campion, Guy ,
Gevers, Michel
Published in:
IEEE Transactions on Automatic Control
Volume: 38 • Number: 8 • Pages: 1264-1266
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 example.