不确定复杂网络的均方指数同步  

Mean Square Exponential Synchronization for Uncertain Complex Networks

作　　者：王天波[1,2] 周武能[2] 赵德钧[1] 赵寿为[1] 

机构地区：[1]上海工程技术大学基础教学学院,上海201620 [2]东华大学信息科学与技术学院,上海201620

出　　处：《东华大学学报（自然科学版）》2012年第4期418-424,共7页Journal of Donghua University(Natural Science)

基　　金：国家自然科学基金资助项目(61075060);国家“八六三”计划资助项目(2008AA042902);上海市教委创新资助项目(12ZZ064,11XK11)

摘　　要：复杂网络的不确定性常常表现为网络拓扑结构的改变、结点工作状态的不稳定,以及来自外界的噪声干扰.利用Lyapunov稳定性理论和Kronecker乘积技巧,研究了一类不确定复杂网络在拉格朗日意义下的均方指数同步问题,得到了网络同步的若干条件.最后,利用数值仿真算例说明了该方法的有效性.The mean square exponential synchronization for a class of uncertain complex network is investigated. In the real world, a complex network usually appears some uncertain phenomena, which includes varying topology structure, destroyed nodes, and the noise disturbance from working circumstance. By using the Lyapunov stability theory and the Kronecker product analysis technique, this paper studies the synchronization problem for the complex network with these uncertain characters and provides some conditions to guarantee the complex network being mean square exponential synchronization in Lagrange sense. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.

关 键 词：复杂网络 指数同步 随机白噪声 KRONECKER乘积 

分 类 号：O231.5[理学—运筹学与控制论]