| 线性离散动力系统的稳定性判定准则 |
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| 引用本文： | 朱伟,杨晓松.线性离散动力系统的稳定性判定准则[J].应用科学学报,2005,23(4):432-434. |
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| 作者姓名： | 朱伟 杨晓松 |
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| 作者单位： | 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 |
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| 基金项目： | 重庆邮电学院青年教师基金资助项目(A2004-12) |
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| 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.
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| 关 键 词： | 谱半径 线性离散动力系统 稳定性 渐近稳定性 |
| 文章编号： | 0255-8297(2005)04-0432-03 |
| 收稿时间： | 2004-05-08 |
| 修稿时间： | 2004-09-06 |
New Criteria for Stability of Linear Discrete Time Dynamical Systems |
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| ZHU Wei,YANG Xiao-song.New Criteria for Stability of Linear Discrete Time Dynamical Systems[J].Journal of Applied Sciences,2005,23(4):432-434. |
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| Authors: | ZHU Wei YANG Xiao-song |
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| Institution: | 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 |
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| 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. |
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| Keywords: | linear discrete time dynamical systems stability asymptotical stability the spectral radius |
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