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 continuous-time subsystems are Hurwitz stable, all discrete-time subsystems are Schur stable, and furthermore the obtained 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 |
|---|---|
| Pages (from-to) | 152-156 |
| Number of pages | 5 |
| Journal | IEEE Transactions on Circuits and Systems II: Express Briefs |
| Volume | 53 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2006 Feb |
| Externally published | Yes |
Keywords
- Arbitrary switching
- Lie algebra
- common quadratic Lyapunov functions
- continuous-time
- discrete-time
- exponential stability
- switched systems
ASJC Scopus subject areas
- Electrical and Electronic Engineering