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Stabilization of switched linear systems

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4 Author(s)
Daizhan Cheng ; Inst. of Syst. Sci., Chinese Acad. of Sci., Beijing, China ; Guo, L. ; Yuandan Lin ; Yuan Wang

In this note, we study the stabilization problem of systems that switch among a finite set of controllable linear systems with arbitrary switching frequency. For both cases of known and unknown switching functions, feedback laws are designed to achieve exponential stability. For the later case, a method combining on-line adaptive estimation and feedback stabilization is developed in the controller design.

Published in:

Automatic Control, IEEE Transactions on  (Volume:50 ,  Issue: 5 )