带有混合耦合的时滞Lurie动态网络的同步  

Synchronization of Time-Delayed Lurie Dynamical Networks with Hybrid Couplings

作　　者：李鹏远 高岩波[1] LI Pengyuan;GAO Yanbo(School of Sciences,Nantong University,Nantong 226019,China)

机构地区：[1]南通大学理学院

出　　处：《南通大学学报（自然科学版）》2019年第2期24-36,共13页Journal of Nantong University(Natural Science Edition)　

基　　金：国家自然科学基金项目(61273103,61573201,11772161)

摘　　要：研究了带有时变时滞节点及时变时滞耦合的Lurie动态网络的全局同步问题,其中这两类时变时滞是不同的。通过构造含有矩阵Kronecker积的Lyapunov-Krasovskii泛函(Lyapunov-Krasovskii functional,LKF),应用Jensen不等式、倒凸不等式和线性矩阵不等式(linear matrix inequality,LMI)技术来估计LKF的导数,得到了一个新的LMI形式的同步判据。数值仿真例子验证了所提出同步判据的有效性。The global synchronization problem is investigated for Lurie dynamic networks with the time-varying delays in every node and in coupling parts,in which the two kinds of the time-varying delays are different.In this study,the Lyapunov-Krasovskii functional(LKF)containing the Kronecker product of matrices is constructed,and Jensen inequality,the reciprocally convex inequality and the linear matrix inequality(LMI)technique are employed to estimate the derivative of the LKF.At last,a novel synchronization criterion in terms of LMIs is obtained.The numerical simulation example confirms the validity of the synchronization criterion.

关 键 词：Lurie动态网络 混合耦合 时变时滞 同步 KRONECKER积 

分 类 号：O231.5[理学—运筹学与控制论]