线性离散动力系统的稳定性判定准则

Journal of Applied Sciences ›› 2005, Vol. 23 ›› Issue (4): 432-434.

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New Criteria for Stability of Linear Discrete Time Dynamical Systems

ZHU Wei¹, YANG Xiao-song^1,2

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

Abstract

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

CLC Number:

O175.13

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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New Criteria for Stability of Linear Discrete Time Dynamical Systems

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