具有分布变时滞Lurie控制系统的绝对稳定性  

Absolute stability of Lurie control systems with continuous distributed time-varying delays

作　　者：汤红吉[1] 李海萍[2] 周儒娟[1] 韩彦武[1] 

机构地区：[1]南通大学理学院,江苏南通226007 [2]河北科技大学理学院,河北石家庄050018

出　　处：《西北师范大学学报（自然科学版）》2012年第4期14-18,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(61174065);江苏省高校自然科学研究项目(10KJB120002);南通大学自然科学基金资助项目(11Z055;11Z056)

摘　　要：研究具有离散时滞和分布变时滞Lurie控制系统时滞相关的绝对稳定性.通过构造恰当的Lyapunov泛函,并借助矩阵不等式,得出了系统中非线性函数分别满足无限扇形条件和有限扇形条件时系统稳定的充分条件,并给出了其线性矩阵不等式形式表示.The delay-dependent absolute stability for a class of Lurie control systems with discrete and continuous time-varying delays is investigated.By constructing a suitable Lyapunov functional and using matrix inequality,some sufficient conditions are derived to guarantee the stability of the Lurie control system with nonlinearity located in an infinite sector and finite one respectively,which are expressed in linear matrix inequalities.

关 键 词：LURIE控制系统 绝对稳定性 LYAPUNOV泛函 线性矩阵不等式 

分 类 号：O175[理学—数学]