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多时滞退化Lurie控制系统的绝对稳定性

黄郑 蒋威

应用数学2013,Vol.26Issue(2):458-464,7.
应用数学2013,Vol.26Issue(2):458-464,7.

多时滞退化Lurie控制系统的绝对稳定性

Absolute Stability for Singular Lurie Control Systems with Multiple Time-varying Delays

黄郑 1蒋威1

作者信息

  • 1. 安徽大学数学科学学院,安徽合肥230601
  • 折叠

摘要

Abstract

In this paper,the absolute stability for singular Lurie direct control systems and indirect control systems with multiple time-varying delay is discussed respectively.Based on Lyapunov stability theory and linear matrix inequalities,absolute stability criteria are obtained.The consequence depends on the size of delay derivative and the delay can be unbound functions.Finally,an example shows the effectiveness of the consequence.

关键词

Lurie控制系统/绝对稳定/时滞/退化/Lyapunov稳定性/线性矩阵不等式

Key words

Lurie control system/ Absolute stability/ Multiple time-varying delay/Singular/ Lyapunov stability theory/ Linear matrix inequality

分类

数理科学

引用本文复制引用

黄郑,蒋威..多时滞退化Lurie控制系统的绝对稳定性[J].应用数学,2013,26(2):458-464,7.

基金项目

Supported by the National Natural Science Foundation of China(11071001),Doctoral Fund of Ministry of Education of China(20093401110001),and the Major Program of Education Commission of Anhui Province of China(KJ2010ZD02) (11071001)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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