Stability Analysis of Singularly Perturbed Switched Linear Systems

被引：26
|
作者：
El Hachemi, Fouad [1 ]
Sigalotti, Mario [2 ,3 ]
Daafouz, Jamal [1 ,4 ]
机构：
[1] Nancy Univ, CRAN, CNRS, UMR 7039, F-91128 Lorraine, France
[2] Ecole Polytech, CMAP, F-91128 Palaiseau, France
[3] Ecole Polytech, Team GECO, INRIA Saclay Ile de France, F-91128 Palaiseau, France
[4] Inst Univ France, Lorraine, France
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2012年 / 57卷 / 08期
关键词：
Asymptotic stability; singular perturbation; switched system;
D O I：
10.1109/TAC.2011.2179876
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：2116 / 2121
页数：6
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