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一类推广的Halanay不等式的稳定性研究及其应用
引用本文:欧伯群.一类推广的Halanay不等式的稳定性研究及其应用[J].湛江师范学院学报,2014(3):16-23.
作者姓名:欧伯群
作者单位:湛江师范学院数学与计算科学学院,广东湛江524048
摘    要:利用Halanay不等式的推广形式,证明了一类时滞微分系统的指数稳定性,得到了一个新的积分条件,推广和改进了已有的结果,并结合例子加以说明.

关 键 词:指数稳定性  时滞动力系统  Halanay不等式

Stability Analysis of a Class of Generalized Halanay Inequalities and Its Applications
OU Boqun.Stability Analysis of a Class of Generalized Halanay Inequalities and Its Applications[J].Journal of Zhanjiang Normal College,2014(3):16-23.
Authors:OU Boqun
Institution:OU Boqun(College of Mathematics and Computational Science, Zhanjiang Normal College, Zhanjiang 524048, Guangdong, China)
Abstract:In this paper,by using the generalized Halanay inequalities,we prove exponential stability of a class of delay differential equations and obtain a new integral condition,which generalize and improve some known results.Finally,we present an example to show our results.
Keywords:exponential stability  delay differential equations  Halanay inequality
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