A SUFFICIENT CONDITION FOR SIMULTANEOUS STABILIZATION

Authors
BLONDEL V CAMPION G GEVERS M
Citation
V. Blondel et al., A SUFFICIENT CONDITION FOR SIMULTANEOUS STABILIZATION, IEEE transactions on automatic control, 38(8), 1993, pp. 1264-1266
Citations number
17
Categorie Soggetti
Controlo Theory & Cybernetics","Computer Applications & Cybernetics","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
38
Issue
8
Year of publication
1993
Pages
1264 - 1266
Database
ISI
SICI code
0018-9286(1993)38:8<1264:ASCFSS>2.0.ZU;2-Z
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 an d use it to derive a sufficient condition for k systems to be simultan eously stabilizable. A method for constructing a simultaneous stabiliz ing controller is also provided and illustrated by an example.