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
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)