@article{de811fa0036c40a7867820088ef8de9f,
title = "A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching",
abstract = "We establish a unified approach to stability analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for the stability of all subsystems, then the switched system is stable under arbitrary switching. The analysis results are natural extensions of the existing results for switched linear state space systems.",
keywords = "arbitrary switching, common quadratic Lyapunov functions, linear matrix inequalities (LMIs), stability, switched linear descriptor systems",
author = "Guisheng Zhai and Xuping Xu",
note = "Funding Information: The authors would like to thank Mr. Ryuuen Kou, Prof. Joe Imae and Prof. Tomoaki Kobayashi of Osaka Prefecture University for valuable discussions. This research has been supported in part by the Japan Ministry of Education, Sciences and Culture under Grants-in-Aid for Scientific Research (C) 21560471.",
year = "2010",
month = jun,
day = "1",
doi = "10.2478/v10006-010-0018-2",
language = "English",
volume = "20",
pages = "249--259",
journal = "International Journal of Applied Mathematics and Computer Science",
issn = "1641-876X",
publisher = "Walter de Gruyter GmbH",
number = "2",
}