Abstract
We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching. A numerical example is provided to demonstrate the result.
| Original language | English |
|---|---|
| Title of host publication | Proceedings - IEEE International Symposium on Circuits and Systems |
| Pages | 3183-3186 |
| Number of pages | 4 |
| DOIs | |
| Publication status | Published - 2005 |
| Externally published | Yes |
| Event | IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan Duration: 2005 May 23 → 2005 May 26 |
Other
| Other | IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 |
|---|---|
| Country | Japan |
| City | Kobe |
| Period | 05/5/23 → 05/5/26 |
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ASJC Scopus subject areas
- Electrical and Electronic Engineering
Cite this
Stability analysis for switched systems with continuous-time and discrete-time subsystems : A lie algebraic approach. / Zhai, Guisheng; Liu, Derong; Imae, Joe; Kobayashi, Tomoaki.
Proceedings - IEEE International Symposium on Circuits and Systems. 2005. p. 3183-3186 1465304.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Stability analysis for switched systems with continuous-time and discrete-time subsystems
T2 - A lie algebraic approach
AU - Zhai, Guisheng
AU - Liu, Derong
AU - Imae, Joe
AU - Kobayashi, Tomoaki
PY - 2005
Y1 - 2005
N2 - We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching. A numerical example is provided to demonstrate the result.
AB - We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching. A numerical example is provided to demonstrate the result.
UR - http://www.scopus.com/inward/record.url?scp=67649107504&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=67649107504&partnerID=8YFLogxK
U2 - 10.1109/ISCAS.2005.1465304
DO - 10.1109/ISCAS.2005.1465304
M3 - Conference contribution
SP - 3183
EP - 3186
BT - Proceedings - IEEE International Symposium on Circuits and Systems
ER -