Cluster Synchronization in Hybrid Coupled Discrete-Time Delayed Complex Networks

作     者：李涛 王婷 杨欣 费树岷 

作者机构：School of Automation EngineeringNanjing University of Aeronautics and Astronautics School of AutomationSoutheast University 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2012年第58卷第11期

页      面：686-696页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070104[理学-应用数学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos.60905009,61104119,61004032,61172135 Jiangsu Natural Science Foundation under Grant Nos.SBK201240801 and BK2012384 the Foundation of NUAA Talent Introduction under Grant No.56YAH11055 the Special Foundation of NUAA Basic Research under Grant No.NS2012092 

主　　题：discrete-time delayed neural networks (DNNs) exponential cluster synchronization Kroneckerproduct LMI approach 

摘      要：This paper studies the exponential cluster synchronization in arrays of coupled discrete-time dynamical networks with time-varying delay, in which the hybrid coupling is involved. Through choosing two improved Lyapunov-Krasovskii functionals, some delay-dependent sufficient conditions are presented based on reciprocal convex technique and Kronecker product. These criteria are presented in terms of LMIs and their feasibility can be easily checked by resorting to Matlab LMI Toolbox. Moreover, the addressed system can include some famous network models as its special cases and the effective techniques are used, which can extend some earlier reported results. Finally, the effectiveness of the proposed methods can be further illustrated with the help of two numerical examples.