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 |
|---|---|
| Article number | 1465304 |
| Pages (from-to) | 3183-3186 |
| Number of pages | 4 |
| Journal | Proceedings - IEEE International Symposium on Circuits and Systems |
| DOIs | |
| Publication status | Published - 2005 Dec 1 |
| Event | IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan Duration: 2005 May 23 → 2005 May 26 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering
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Zhai, G., Liu, D., Imae, J., & Kobayashi, T. (2005). Stability analysis for switched systems with continuous-time and discrete-time subsystems: A lie algebraic approach. Proceedings - IEEE International Symposium on Circuits and Systems, 3183-3186. [1465304]. https://doi.org/10.1109/ISCAS.2005.1465304