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A sufficient condition for simultaneous stabilization

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3 Author(s)
Blondel, V. ; Lab. d''Autom. Dynamique et Analyse des Syst., Univ. Catholique de Louvain, Louvain-la-Neuve, Belgium ; Campion, G. ; Gevers, M.

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

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Automatic Control, IEEE Transactions on  (Volume:38 ,  Issue: 8 )