Blondel, Vincent
[UCL]
Campion, Guy
[UCL]
Gevers, Michel
[UCL]
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.
Bibliographic reference |
Blondel, Vincent ; Campion, Guy ; Gevers, Michel. A Sufficient Condition for Simultaneous Stabilization. In: IEEE Transactions on Automatic Control, Vol. 38, no. 8, p. 1264-1266 (1993) |
Permanent URL |
http://hdl.handle.net/2078.1/49547 |