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.
|Number of pages||4|
|Journal||Proceedings - IEEE International Symposium on Circuits and Systems|
|Publication status||Published - 2005|
|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