一类可变时滞中立型线性大系统的稳定性

广东工业大学学报 ›› 2005, Vol. 22 ›› Issue (2): 110-113.

一类可变时滞中立型线性大系统的稳定性

华南理工大学自动化科学与工程学院；华南理工大学自动化科学与工程学院广东广州510641华南师范大学数学系广东广州510631；广东广州510641；

出版日期:2005-06-01 发布日期:2005-06-01
基金资助:
国家自然科学基金资助项目(60334010);广东省自然科学基金资助项目(31406)

The Stability of a Class of Neutral Linear Large Scale Systems with Variable Delays

(1. College of Automation Science & Engineering,South China University of Technology,Guangzhou 510641,China;2. Department of Mathematics, South China Normal University,Guangzhou 510631,China)

Online:2005-06-01 Published:2005-06-01

摘要/Abstract

摘要： 利用范数型Lyapunov函数对一类变时滞的线性中立型大系统进行模型集结,得到低阶集结系统,运用微分积分不等式得到中立型大系统的稳定性判据,并将结论应用到时变的中立型线性大系统中.

关键词: 时滞；中立型；大系统；稳定性；

Abstract: This paper deals with the unconditional stability of a class of neutral linear large scale system with variable delays. Applying Lyapunov function with verctor norm, a lower order mass system is obtained by massing the model of neutral type linear large scale system. The stability criterias are obtained by means of the differential and integral inequlity.

Key words: delay； neutral type； large scale system； stability；

刘秀湘；胥布工； . 一类可变时滞中立型线性大系统的稳定性[J]. 广东工业大学学报, 2005, 22(2): 110-113.

LIU Xiu-xiang~(1,2),XU Bu-gong~1. The Stability of a Class of Neutral Linear Large Scale Systems with Variable Delays[J]. Journal of Guangdong University of Technology, 2005, 22(2): 110-113.

参考文献

[1] TongGongyou,LiuYongqing.Stabilityanalysisoflargescalemuilidelaysystems. AdvancesinModelling&Simulation . 1 991

[2] CoppelWA.StabilityandAsyeptoticBehaviorofDifferentialEquations. . 1965

[3] Li Yeping,Zhang Shaohua.The Unconditional Stability for the Hyperneutral Type Constant Linear Control System with Delays. Acta Mathematica Scientia . 2001

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