东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (2): 179-182.DOI: -

• 论著 • 上一篇    下一篇

不确定离散时滞大系统的鲁棒稳定性

肖小石;毛志忠;   

  1. 东北大学信息科学与工程学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家高技术研究发展计划项目(2007AA04Z194)

Robust stability of uncertain discrete large-scale systems with time delays

Xiao, Xiao-Shi (1); Mao, Zhi-Zhong (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Xiao, X.-S.
  • About author:-
  • Supported by:
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摘要： 对于一类具有时变时滞以及非线性不确定性的离散大系统,考虑了其鲁棒稳定性问题.基于Lyapunov泛函方法及矩阵范数不等式方法,提出了这类时滞大系统的时滞无关鲁棒稳定性判据.所得判据条件由一族Lyapunov方程以及代数不等式给出,计算简单,验证方便.最后以一个数值实例表明了本文所得结论的正确性.

关键词: 时滞, 不确定性, 离散大系统, 鲁棒稳定性

Abstract: Discusses the robust stability of a class of discrete large-scale systems with time-varying delay and nonlinear uncertainty. Based on the Lyapunov functional method and matrix norm inequality approach, a criterion of delay-independent robust stability for the systems is proposed, and the sufficient conditions as the criterion are given in terms of a family of Lyapunov equations and algebraic inequalities for simple computation and easy check. A numerical example is given to demonstrate the correctness of the method proposed.

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