基于牵制控制的变时滞复杂网络自适应同步  

The pinning adaptive synchronization of a complex network with time-varying delay

作　　者：巩长忠[1] 张瑜[1] 

机构地区：[1]中国民航大学理学院,天津300300

出　　处：《渤海大学学报（自然科学版）》2014年第4期336-341,共6页Journal of Bohai University:Natural Science Edition

基　　金：天津市自然科学基金青年项目(No:13JCQNJC04400);中央高校基本科研业务(No:3122014K008);中国民航大学科研启动基金(No:2012QD10X)

摘　　要：在牵制控制的基础上,文章探讨了节点与耦合均含变时滞复杂网络的自适应同步问题.首先,利用非线性耦合常微分方程描述了一般复杂网络的动态模型,同时给出了必要的定义、假设和引理.然后,基于李雅普诺夫稳定性理论和自适应控制原理,设计了简单适当的自适应控制器,让其通过对部分节点进行牵制控制来实现整个网络的同步,并且给出网络渐近同步的充分条件.最后,通过数值实验结果很好地验证了理论的可行性与有效性.Based on the containment control theory,the pinning adaptive synchronization of a complex network with node- coupled time- varying is deliberated in this thesis. First,the general dynamic models of complex networks is described by nonlinear coupled ordinary differential equations. Besides,the necessary definitions,assumptions and lemma are given. And then,on the basis of Lyapunov stability and Pinning adaptive theory,a simple and appropriate adaptive controller is designed,which allowed by some nodes contain controls to achieve all nodes of complex networks get to their harmonious states,and sufficient conditions is also given asymptotic network synchronization. At last,numerical simulations are put forwarded to check the significance and effectiveness of the theory.

关 键 词：牵制控制 变时滞 自适应同步 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]