TY - JOUR
T1 - A commutation condition for stability analysis of switched linear descriptor systems
AU - Zhai, Guisheng
AU - Xu, Xuping
N1 - Funding Information:
The authors would like to thank Mr. Ryuuen Kou, Prof. Joe Imae and Prof. Tomoaki Kobayashi of Osaka Prefecture University, Japan, Prof. Masao Ikeda of Osaka University, Japan, and Prof. Daniel Ho of City University of Hong Kong, China, for valuable discussions. This research was supported in part by the Japan Ministry of Education, Sciences and Culture under the Grant-in-Aid for Scientific Research (C) 21560471.
PY - 2011/8
Y1 - 2011/8
N2 - We study the stability analysis problem for switched linear descriptor systems. Assuming that all subsystems are stable and there is no impulse at the switching instants, we establish a new pairwise commutation condition under which the switched system is stable. We also show that when the proposed commutation condition holds, there exists a common quadratic Lyapunov function (CQLF) for the subsystems. These results are natural and significant extensions to the existing results for switched systems in the state space representation.
AB - We study the stability analysis problem for switched linear descriptor systems. Assuming that all subsystems are stable and there is no impulse at the switching instants, we establish a new pairwise commutation condition under which the switched system is stable. We also show that when the proposed commutation condition holds, there exists a common quadratic Lyapunov function (CQLF) for the subsystems. These results are natural and significant extensions to the existing results for switched systems in the state space representation.
KW - Common quadratic Lyapunov functions (CQLFs)
KW - Impulse-free arbitrary switching
KW - Pairwise commutation
KW - Stability
KW - Switched linear descriptor systems
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U2 - 10.1016/j.nahs.2011.02.002
DO - 10.1016/j.nahs.2011.02.002
M3 - Article
AN - SCOPUS:79959875543
SN - 1751-570X
VL - 5
SP - 383
EP - 393
JO - Nonlinear Analysis: Hybrid Systems
JF - Nonlinear Analysis: Hybrid Systems
IS - 3
ER -