Pinning control of a generalized complex dynamical network model

作     者：Huizhong YANG Li SHENG 

作者机构：School of Communication and Control Engineering Jiangnan University Wuxi Jiangsu 214122 China 

出 版 物：《控制理论与应用（英文版）》 (J. Control Theory Appl.)

年 卷 期：2009年第7卷第1期

页      面：1-8页

核心收录：

学科分类：12[管理学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 071101[理学-系统理论] 0711[理学-系统科学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 081104[工学-模式识别与智能系统] 0835[工学-软件工程] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China (No.60674092) High-tech R & D Program of Jiangsu (Industry)(No.BG2006010) 

主　　题：Complex network Neural network Pinning control Synchronization Delayed coupling 

摘      要：This paper investigates the local and global synchronization of a generalized complex dynamical network model with constant and delayed coupling. Without assuming symmetry of the couplings, we proved that a single controller can pin the generalized complex network to a homogenous solution. Some previous synchronization results are generalized. In this paper, we first discuss how to pin an array of delayed neural networks to the synchronous solution by adding only one controller. Next, by using the Lyapunov functional method, some sufficient conditions are derived for the local and global synchronization of the coupled systems. The obtained results are expressed in terms of LMIs, which can be efficiently checked by the Matlab LMI toolbox. Finally, an example is given to illustrate the theoretical results.