期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2010
卷号：20
期号：2
DOI：10.2478/v10006-010-0018-2
出版社：De Gruyter Open
摘要：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
关键词：switched linear descriptor systems; stability; arbitrary switching; linear matrix inequalities (LMIs); common quadratic Lyapunov functions
