<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

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

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

International Journal of Applied Mathematics and Computer Science

We establish a unified approach to stability analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and...

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

Published Online: Jul 02, 2010

Page range: 249 - 259

DOI: https://doi.org/10.2478/v10006-010-0018-2

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

This content is open access.

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

Published Online: Jul 02, 2010

Page range: 249 - 259

DOI: https://doi.org/10.2478/v10006-010-0018-2

Keywordsswitched linear descriptor systems, stability, arbitrary switching, linear matrix inequalities (LMIs), common quadratic Lyapunov functions

This content is open access.

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