A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching
Guisheng Zhai, Xuping Xu (2010)
International Journal of Applied Mathematics and Computer Science
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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...