自动化学报2004，Vol.30Issue(2)：235-238,4.
不确定时滞Lurie型控制系统与时滞相关的绝对稳定性
Delay-Dependent Absolute Stability ofUncertain Lur′e Systems with Time-Delays
摘要
Abstract
This paper is concerned with delay-dependent absolute stability for a class of uncertain Lur′e systems with multiple time-delays. By using a descriptor model transformation of the system and by applying a recent result on bounding of cross products of vectors, a new type of Lyapunov-Krasovskii functional is constructed. Based on the new functional, delay-dependent sufficient conditions for absolute stability are derived in terms of linear matrix inequalities. These conditions do not require any parameter tuning, and can be solved numerically using the software LMI Lab. A numerical example is presented which shows that the proposed method can substantially improve the delay bound for absolute stability of Lur′e system with time-delays, compared to the existing ones.关键词
Lur′e型控制系统/绝对稳定性/时滞系统/时滞相关判据/线性矩阵不等式Key words
Lur′e system/absolute stability/delay-dependent criteria/time-delay/linear matrix inequality分类
信息技术与安全科学引用本文复制引用
陈武华,关治洪,卢小梅,杨宣访..不确定时滞Lurie型控制系统与时滞相关的绝对稳定性[J].自动化学报,2004,30(2):235-238,4.基金项目
Supported by National Natural Science Foundation of P. R. China(60074009,60274004,10162001) （60074009,60274004,10162001）
