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Switching Stabilizability for Continuous-Time Uncertain Switched Linear Systems

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2 Author(s)
Hai Lin ; Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore ; Antsaklis, P.J.

This paper investigates the switching stabilizability problem for a class of continuous-time switched linear systems with time-variant parametric uncertainties. First, a necessary and sufficient condition for the asymptotic stabilizability of such uncertain switched linear system is derived, under the assumption that the closed-loop switched system does not generate sliding motions. Then, an additional condition is introduced to exclude the possibility of unstable sliding motions. Finally, a necessary and sufficient for the asymptotic stabilizability of such continuous-time uncertain switched linear systems is presented. This result improves upon conditions found in the literature which are either sufficient only or necessary only

Published in:

Automatic Control, IEEE Transactions on  (Volume:52 ,  Issue: 4 )

Date of Publication:

April 2007

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