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应用科学学报 ›› 2005, Vol. 23 ›› Issue (4): 432-434.

• 研究简报 • 上一篇    下一篇

线性离散动力系统的稳定性判定准则

朱伟1, 杨晓松1,2   

  1. 1. 重庆邮电学院非线性系统研究所, 重庆 400065;
    2. 厦门大学自动化系系统与控制中心, 福建厦门 361005
  • 收稿日期:2004-05-08 修回日期:2004-09-06 出版日期:2005-07-31 发布日期:2005-07-31
  • 作者简介:朱伟(1976-),男,四川荣县人,讲师,硕士,E-mail:zhuwei@cqupt.edu.cn
  • 基金资助:
    重庆邮电学院青年教师基金资助项目(A2004-12)

New Criteria for Stability of Linear Discrete Time Dynamical Systems

ZHU Wei1, YANG Xiao-song1,2   

  1. 1. Institute for Nonlinear Systems, Chongqing University of Posts and Telecomm unications, Chongqing 400065, China;
    2. Center for Systems and Control, Department of Automation, Xiamen University, Xiamen 361005, China
  • Received:2004-05-08 Revised:2004-09-06 Online:2005-07-31 Published:2005-07-31

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160

被引次数

1

摘要： 首先对不可约矩阵A的模等于谱半径的特征值的分布情况给出了说明,用其证明文献[2]中定理2将变得十分简单,然后给出了系统(1)渐近稳定的充要条件.

关键词: 谱半径, 线性离散动力系统, 稳定性, 渐近稳定性

Abstract: In this paper a result on distribution of the eigenvalues of real entry irreducible matrix whose module are equal to the spectral radius is presented, which is applied to give very simple proof for a theorem in ref.[2].Then a sufficient and necessary condition on the stability and asymptotical stability of linear discrete dynamical systems is given.

Key words: linear discrete time dynamical systems, stability, the spectral radius, asymptotical stability

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