A note on multiple lyapunov functions and stability condition for switched and hybrid systems

Guisheng Zhai, Isatada Matsune, Joe Imae, Tomoaki Kobayashi

研究成果: Article査読

29 被引用数 (Scopus)

抄録

In this note, we consider stability condition with multiple Lyapunov functions for switched and hybrid systems. By using the idea of evaluating "the average value of multiple Lyapunov functions" during the activation interval of each subsystem, we propose a new Lyapunov stability condition, which complements the existing stability conditions that evaluate the value of multiple Lyapunov functions at the starting points or the ending points. We present several demonstrative examples, including the case where unstable subsystems are involved, and also apply the stability condition and the switching strategy to the switching control problem for stabilization of nonholonomic systems.

本文言語English
ページ(範囲)1189-1199
ページ数11
ジャーナルInternational Journal of Innovative Computing, Information and Control
5
5
出版ステータスPublished - 2009 5 1
外部発表はい

ASJC Scopus subject areas

  • ソフトウェア
  • 理論的コンピュータサイエンス
  • 情報システム
  • 計算理論と計算数学

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