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具滞后奇异系统的广义特征方程与稳定性
引用本文:谢湘生,刘永清.具滞后奇异系统的广义特征方程与稳定性[J].华南理工大学学报(自然科学版),1995,23(6):110-117.
作者姓名:谢湘生  刘永清
作者单位:华南理工大学自动化系
摘    要:本文讨论了奇异滞后系统的广义特征方程根在复平面上的分布与系统的稳定性之间的关系,通过广义特征值和广义特征方程给出了系统零解渐近和不稳定的条件。

关 键 词:线性系统  稳定性  特征方程  广义  奇异系统

GENERALIZED CHARACTERISTIC EQUATION AND STABILITY OF LINEAR SINGULAR SYSTEMS OF DIFFERENTIAL EQUATIONS WITH A DELAY
Xie Xiangsheng,Liu Yongqing.GENERALIZED CHARACTERISTIC EQUATION AND STABILITY OF LINEAR SINGULAR SYSTEMS OF DIFFERENTIAL EQUATIONS WITH A DELAY[J].Journal of South China University of Technology(Natural Science Edition),1995,23(6):110-117.
Authors:Xie Xiangsheng  Liu Yongqing
Abstract:In this paper, we discuss the relation between the generalized characteristic equation and the stability of linear singular systems of differential equations,and give the conditions of stability if the systems by using the contribution of generalized eigenvalues in the complex plane and the property of the generalized characteristic equation
Keywords:s:singular system  delay  generalized characteristic equation  stability
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