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
fDate :
8/1/1993 12:00:00 AM
Abstract :
The condition under which it is possible to find a single controller that stabilizes k single-input single-output linear time-invariant systems pi(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;
Journal_Title :
Automatic Control, IEEE Transactions on
