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

Zhai, G. ; Xu, X.

International Journal of Applied Mathematics and Computer Science, Tome 20 (2010) no. 2, pp. 249-259.

Résumé

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.

Détail

Keywords: switched linear descriptor systems, stability, arbitrary switching, linear matrix inequalities (LMIs), common quadratic Lyapunov functions
Mots-clés : układ komutowany, układ deskrypcyjny, stabilność, komutacja dowolna, nierówność macierzy, LMI

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