DocumentCode
938344
Title
A sufficient condition for simultaneous stabilization
Author
Blondel, V. ; Campion, G. ; Gevers, M.
Author_Institution
Lab. d´´Autom. Dynamique et Analyse des Syst., Univ. Catholique de Louvain, Louvain-la-Neuve, Belgium
Volume
38
Issue
8
fYear
1993
fDate
8/1/1993 12:00:00 AM
Firstpage
1264
Lastpage
1266
Abstract
The condition under which it is possible to find a single controller that stabilizes k single-input single-output linear time-invariant systems p i(s ) (i =1,. . .,k ) is investigated. The concept of avoidance in the complex plane is introduced and used to derive a sufficient condition for k systems to be simultaneously stabilizable. A method for constructing a simultaneous stabilizing controller is also provided and is illustrated by an example
Keywords
linear systems; stability; avoidance; complex plane; simultaneous stabilization; single-input single-output linear time-invariant systems; sufficient condition; Automatic control; Control system synthesis; Control systems; Manifolds; Nonlinear systems; Robots; Stability; Sufficient conditions; Synchronous machines; Vehicles;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.233164
Filename
233164
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