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  • 席鸿建.一类多滞量动力系统的稳定性与有界性及其应用[J].广西科学,1996,3(4):58-60,68.    [点击复制]
  • Xi Hongjian.Stability and Boundedness for a Class of Dynamical System with Delay's and Their Applications[J].Guangxi Sciences,1996,3(4):58-60,68.   [点击复制]
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一类多滞量动力系统的稳定性与有界性及其应用
席鸿建
0
(广西大学数学与信息科学系, 南宁 530004)
摘要:
通过Lyapunov泛函方法,获得了一类多滞量动力系统的运动稳定性、有界性、周期运动存在性的几个定理。应用所获得的定理解决了几个问题。
关键词:  Lyapunov函数  稳定性  有界性  周期运动
DOI:
投稿时间:1996-04-08修订日期:1996-09-11
基金项目:广西自然科学基金
Stability and Boundedness for a Class of Dynamical System with Delay's and Their Applications
Xi Hongjian
(Dept. of Math. &. Info. Sci., Guangxi Univ., 10 Xixiangtang Roa, Nanning, Guangxi, 530004)
Abstract:
The dynamical system with delay's is considered.We obtain some theorem on stability, boundedness,existence of periodic motions and stationary oscillation by means of the method of Lyapunov function.
Key words:  Lyapunov function  stability  boundedness  periodic motions

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