一类具有时变时滞的中立型微分系统的稳定性分析

广东工业大学学报 ›› 2011, Vol. 28 ›› Issue (3): 77-82.

一类具有时变时滞的中立型微分系统的稳定性分析

天津大学管理学院，天津 300072

出版日期:2010-10-06 发布日期:2010-10-06
作者简介:谢淑芳（1981-）,女，硕士研究生，主要研究方向为系统工程

An Analysis of the Stability of Timelag Neutral Delay Differential Systems

Faculty of Management, Tianjin University, Tianjin 300072, China

Online:2010-10-06 Published:2010-10-06

摘要/Abstract

摘要： 研究了一类具有时变时滞的中立型微分系统，着重考虑了这个微分系统的渐近稳定性，基于Lyapunov方法，结合线性矩阵不等式（LMI），提出了一个关于t 、σ和h(t)的时滞稳定性标准，并提供两个数值例子以表明这个方法的有效性.


关键词: 中立型系统；时滞；渐近稳定；Lyapunov方法；线性矩阵不等式（LMI）

Abstract: Time-lag neutral delay differential systems are researched. The research focuses on the Asymptotic stability of the differential systems, based on Lyapunov method and linear matrix inequality (LMI). The timelag stability criteria for，and t,σ h(t) are put forward, and two numerical examples are provided to show the effectiveness of this approach.

Key words: neutral systems; delay; asymptotic stability; Lyapunov method; LMI

谢淑芳. 一类具有时变时滞的中立型微分系统的稳定性分析[J]. 广东工业大学学报, 2011, 28(3): 77-82.

XIE Shu-Fang. An Analysis of the Stability of Timelag Neutral Delay Differential Systems[J]. Journal of Guangdong University of Technology, 2011, 28(3): 77-82.

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