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

International Journal of Applied Mathematics and Computer Science (2010)

- Volume: 20, Issue: 2, page 249-259
- ISSN: 1641-876X

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topGuisheng Zhai, and Xuping Xu. "A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching." International Journal of Applied Mathematics and Computer Science 20.2 (2010): 249-259. <http://eudml.org/doc/207984>.

@article{GuishengZhai2010,

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.},

author = {Guisheng Zhai, Xuping Xu},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {switched linear descriptor systems; stability; arbitrary switching; linear matrix inequalities (LMIs); common quadratic Lyapunov functions},

language = {eng},

number = {2},

pages = {249-259},

title = {A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching},

url = {http://eudml.org/doc/207984},

volume = {20},

year = {2010},

}

TY - JOUR

AU - Guisheng Zhai

AU - Xuping Xu

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

JO - International Journal of Applied Mathematics and Computer Science

PY - 2010

VL - 20

IS - 2

SP - 249

EP - 259

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/207984

ER -

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