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.
出处
《应用数学》
CSCD
北大核心
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)
