多时滞退化Lurie控制系统的绝对稳定性(英文)  

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

作　　者：黄郑[1] 蒋威[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《应用数学》2013年第2期458-464,共7页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (11071001);Doctoral Fund of Ministry of Education of China (20093401110001);the Major Program of Education Commission of Anhui Province of China (KJ2010ZD02)

摘　　要：本文研究退化Lurie直接控制时滞系统和退化Lurie间接控制时滞系统的绝对稳定性,基于Lyapunov稳定性理论和线性矩阵不等式得到绝对稳定的判据,即绝对稳定性仅仅依赖于时滞导数的大小.特别地,时滞可以是无界的函数,仿真示例同时说明了此方法的有效性.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 

分 类 号：O175.13[理学—数学]