DocumentCode
1399542
Title
Stability Analysis of Singularly Perturbed Switched Linear Systems
Author
El Hachemi, Fouad ; Sigalotti, Mario ; Daafouz, Jamal
Author_Institution
CRAN, Nancy Univ., Nancy, France
Volume
57
Issue
8
fYear
2012
Firstpage
2116
Lastpage
2121
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;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2011.2179876
Filename
6104362
Link To Document