Stability and L2 gain analysis for a class of switched symmetric systems

Guisheng Zhai, Xinkai Chen, Masao Ikeda, Kazunori Yasuda

研究成果: Conference article

26 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)4395-4400
ページ数6
ジャーナルProceedings of the IEEE Conference on Decision and Control
4
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 102002 12 13

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

フィンガープリント 「Stability and L<sub>2</sub> gain analysis for a class of switched symmetric systems」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル