In this paper, we study stability and L2 gain properties for a class of switched systems which are composed of a finite number of linear time-invariant symmetric subsystems. We focus our attention mainly on discrete-time systems. When all subsystems are Schur stable, we show that the switched system is exponentially stable under arbitrary switching. Furthermore, we show that when all subsystems are Schur stable and have L2 gains smaller than a positive scalar γ, the switched system is exponentially stable and has an L2 gain smaller than the same γ under arbitrary switching. The key idea for both stability and L2 gain analysis in this paper is to establish a common Lyapunov function for all subsystems in the switched system.
|ジャーナル||Proceedings of the IEEE Conference on Decision and Control|
|出版ステータス||Published - 2002|
|イベント||41st IEEE Conference on Decision and Control - Las Vegas, NV, United States|
継続期間: 2002 12月 10 → 2002 12月 13
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