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.
| Original language | English |
|---|---|
| Pages (from-to) | 249-259 |
| Number of pages | 11 |
| Journal | International Journal of Applied Mathematics and Computer Science |
| Volume | 20 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2010 Jun 1 |
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Keywords
- arbitrary switching
- common quadratic Lyapunov functions
- linear matrix inequalities (LMIs)
- stability
- switched linear descriptor systems
ASJC Scopus subject areas
- Applied Mathematics
- Computer Science (miscellaneous)
- Engineering (miscellaneous)
Cite this
A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching. / Zhai, Guisheng; Xu, Xuping.
In: International Journal of Applied Mathematics and Computer Science, Vol. 20, No. 2, 01.06.2010, p. 249-259.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching
AU - Zhai, Guisheng
AU - Xu, Xuping
PY - 2010/6/1
Y1 - 2010/6/1
N2 - 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.
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.
KW - arbitrary switching
KW - common quadratic Lyapunov functions
KW - linear matrix inequalities (LMIs)
KW - stability
KW - switched linear descriptor systems
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UR - http://www.scopus.com/inward/citedby.url?scp=77954401515&partnerID=8YFLogxK
U2 - 10.2478/v10006-010-0018-2
DO - 10.2478/v10006-010-0018-2
M3 - Article
VL - 20
SP - 249
EP - 259
JO - International Journal of Applied Mathematics and Computer Science
JF - International Journal of Applied Mathematics and Computer Science
SN - 1641-876X
IS - 2
ER -