In this paper, we study ℒ2 gain properties for a class of switched systems which are composed of a finite number of linear time-invariant symmetric systems with time delay. We show that when all subsystems have the ℒ2 gains γ in the sense of satisfying an LMI, the switched system has the same ℒ2 gain γ under arbitrary switching. The key idea is to establish a common Lyapunov function for all subsystems in the sense of ℒ2 gain.
|ジャーナル||Proceedings - IEEE International Symposium on Circuits and Systems|
|出版ステータス||Published - 2003 7 14|
|イベント||Proceedings of the 2003 IEEE International Symposium on Circuits and Systems - Bangkok, Thailand|
継続期間: 2003 5 25 → 2003 5 28
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