一类具有2个加性变时滞的系统的指数稳定性分析  

Exponential stability analysis for a class of system with two-additive time-varying delays

作　　者：韩彦武[1] 汤红吉[1] 

机构地区：[1]南通大学理学院,江苏南通226019

出　　处：《高师理科学刊》2016年第11期1-5,共5页Journal of Science of Teachers＇College and University

基　　金：国家自然科学基金资助项目(61273013;61374061)

摘　　要：考虑了一类具有2个加性变时滞的系统的指数稳定性问题.通过把时滞区间分别分成2个小区间,构造一个适当的Lyapunov-Krasovskii泛函(LKF),该LKF整体正定,不要求每一部分正定.运用积分不等式和倒凸组合的方法,得出了系统指数稳定的充分条件,并以线性矩阵不等式的形式表示.数值实例表明了该方法的有效性.Deals with the exponential stability analysis of dynamic systems with two additive time-varying delay. By decomposing one delay interval into two subintervals which may be unequal, an appropriate Lyapunov-Krasovskii functional （ LKF ） is constructed whose each term is not positive definite while the the sum of each term is positive definite. The integral inequality method and the reciprocally convex technique are utilized to deal with the derivative of the LKF. The delay-dependent exponential stability criterion obtained from this method is expressed in terms of the linear matrix inequalities （ LMIs ） . Anumerical example is used to show the effectiveness of this method.

关 键 词：加性变时滞 时滞分解 指数稳定 倒凸组合 

分 类 号：O231[理学—运筹学与控制论]