A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching

• Autorzy: Zhai G. , Xu X.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

switched linear descriptor systems; stability; arbitrary switching; linear matrix inequalities (LMIs); common quadratic Lyapunov functions

PL

układ komutowany; układ deskrypcyjny; stabilność; komutacja dowolna; nierówność macierzy; LMI

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2010
• Tom: Vol. 20, no 2
• Strony: 249--259
• Opis fizyczny: Bibliogr. 27 poz., wykr.

Twórcy

autor

Zhai G.

• Department of Mathematical Sciences Shibaura Institute of Technology, Saitama 337-8570, Japan

autor

Xu X.

• Department of Electrical and Computer Engineering California Baptist University, Riverside, CA 92504, USA

Bibliografia

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