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.
|ジャーナル||Proceedings - IEEE International Symposium on Circuits and Systems|
|出版ステータス||Published - 2005|
|イベント||IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan|
継続期間: 2005 5月 23 → 2005 5月 26
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