带分布时滞的奇异中立型系统基于交互式凸组合法的鲁棒稳定性  

Reciprocally Convex Combination Approacvh to Robust Stability of Singular Neutral Systems with Distributed Time-Delays

作　　者：薛小清 李延波[1] 

机构地区：[1]广西师范学院数学科学学院,广西南宁530023

出　　处：《广西师范学院学报（自然科学版）》2014年第4期7-11,共5页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：国家自然科学基金项目资助(11201089)

摘　　要：针对带分布时滞的奇异中立型系统进行稳定性研究.基于交互式凸组合方法和Finsler引理,通过适当分割时滞区间,构造恰当的李雅普诺夫函数,从而处理一组权数为凸参数的逆的线性正函数组合(交互式凸组合),减少带分布时滞的奇异中立型系统稳定性判据的决策变量,给出系统是正则的,无脉冲的,渐近稳定的充分条件,该条件以线性矩阵不等式形式表示.数值例子验证了该方法的有效性.The robust stability problem for singular neutral system with distributed time‐varying delays is researched .Based on reciprocally convex combination approach ,which is a way of handling a linear combination of positive functions weighted by the inverse of convex parametersfreciprocally con‐vex combinationl and reducing the stability criterion’s number of decision variables ,the sufficient conditions are given in terms of linear matrix inequalities by partitioning delay intervals properly and constructing an appropriate Lyapunov functional ,w hich ensued the system is regular ,impulse free and asymptotic stability .A numerical example is presented to show the effectiveness of the method .

关 键 词：奇异中立系统 分布时滞 交互式凸组合 Finsler引理 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]