Title :
Stability Analysis of Singularly Perturbed Switched Linear Systems
Author :
El Hachemi, Fouad ; Sigalotti, Mario ; Daafouz, Jamal
Author_Institution :
CRAN, Nancy Univ., Nancy, France
Abstract :
This note is concerned with the stability of planar linear singularly perturbed switched systems. We propose a characterization of the stability properties of such multiple time scale switched systems as the perturbation parameter goes to zero. We also study transitions as this parameter varies and we restrict their number and nature. Finally, we compare the results obtained in this way with the Tikhonov-type results for differential inclusions available in the literature.
Keywords :
linear systems; singularly perturbed systems; stability; time-varying systems; Tikhonov-type; differential inclusions; multiple time scale switched systems; perturbation parameter; planar linear singularly perturbed switched systems; stability analysis; stability property characterization; Asymptotic stability; Stability criteria; Switched systems; Switches; Trajectory; Transmission line matrix methods; Asymptotic stability; singular perturbation; switched system;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2179876
