An Analysis of the Stability of Time-lag Neutral Delay Differential Systems

XIE  Shu-Fang

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An Analysis of the Stability of Time-lag Neutral Delay Differential Systems

更新时间：2026-05-27

- An Analysis of the Stability of Time-lag Neutral Delay Differential Systems
- Vol. 28, Issue 3, Pages: 77-82(2011)
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- Online First：06 October 2010，
  
  Published：2011
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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]. 2011, 28(3): 77-82.
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. DOI：

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

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.

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.

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references

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El-Morshedy H A,Gopalsamy K.Nonoscillation,oscillation and convergence of a class of neutral equations[J].Nonliner Analysis,2000,40(1-8):173-183.

Agarwal R P,Grace S R.Asymptotic stability of certain neutral differential equations[J].Mathematical and Computer Modelling,2000,31(8-9):9-15.

Park J H.Delay-dependent criterion for asymptotic stability of neutral equation[J].Applied Mathematics Letters,2004,17:1203-1206.

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