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广义线性系统平衡点的谱分析
引用本文:邱卫根,刘永清.广义线性系统平衡点的谱分析[J].高校应用数学学报(A辑),2000,15(3):276-280.
作者姓名:邱卫根  刘永清
作者单位:1. 广东工业大学计算机系,广州,510090
2. 华南理工大学自动化系,广东,广州,510641
摘    要:从另一个角度研究线性广义系统Ex=Ax的平衡点邻域的定性行为,并对正则性概念作了有益的推广.

关 键 词:平衡点  定性分析  广义线性系统  谱分析  微分方程
文章编号:1000-4424(2000)03-0276-05
修稿时间:1999-03-03

SPECTRUM ANALYSIS OF THE EQUILIBRIUM OF GENERALIZED LINEAR SYSTEM
Qiu Weigen,Liu Yongqing.SPECTRUM ANALYSIS OF THE EQUILIBRIUM OF GENERALIZED LINEAR SYSTEM[J].Applied Mathematics A Journal of Chinese Universities,2000,15(3):276-280.
Authors:Qiu Weigen  Liu Yongqing
Institution:Qiu Weigen (Computer Department,Guangdong University of Technology,Guangzhou 510090,China)Liu Yongqing (Automation Department,South China University of Technology,Guangzhou 510641,China)
Abstract:The regular generalized linear system is studied. The concepts of the regularity are developed,replacing the E- 1 k nonsingularity by Ek with full column rank. The spectrum and qualitative behavior of equilbrium of the matrix pencil { E,A} are analysized.
Keywords:Generalized System  Equilibrium  Spectrum  Qualitative Analysis
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