一类具有扇区非线性的时变时滞系统的绝对稳定性  

ABSOLUTE STABILITY FOR A CLASS OF TIME-VARYING DELAY SYSTEMS WITH SECTOR-BOUNDED NONLINEARITY

作　　者：王炜[1,2] 王珏[2] 

机构地区：[1]湖南工贸技师学院,株洲412000 [2]湖南工业大学电气与信息工程学院,株洲412008

出　　处：《动力学与控制学报》2011年第2期158-161,共4页Journal of Dynamics and Control

基　　金：湖南省教育厅资助科研项目(10C0628)~~

摘　　要：讨论一类具有扇区非线性的时变时滞系统的绝对稳定性问题.基于时滞分段的思想,构造一种新的Lyapunov泛函,进一步应用自由权矩阵结合积分不等式方法,并充分考虑时变时滞和时滞上界之间的关系,得到了基于LMI的具有更低保守性的时滞相关绝对稳定条件.最后,数值实例表明所提方法的有效性和相比已有结果的优越性.The absolute stability for a class of time-varying delay systems with sector-bounded nonlinearity was investigated.Based on the idea of delay decomposition,a new Lyapunov functional was constructed.By employing the free-weighting matrix combined with integral inequality approach,and considering the relationship between the time-varying delay and its upper bound,some delay-dependent stability criteria were obtained and formulated in the form of linear matrix inequalities（LMIs）.Finally,a numerical example was given to show that the effectiveness and superiorness over the existing ones.

关 键 词：非线性系统 绝对稳定 时滞相关 LYAPUNOV泛函 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]