基于社团划分的复杂网络牵制控制策略  

Pinning control of complex networks via network division

作　　者：邬盈盈[1] 韦巍[1] 李国阳[1] 

机构地区：[1]浙江大学系统科学与工程学系,浙江杭州310027

出　　处：《浙江大学学报（工学版）》2011年第3期495-502,共8页Journal of Zhejiang University：Engineering Science

基　　金：浙江省青年人才培养资助项目(R105341);浙江省自然科学基金资助项目(Y106046;Y1080776);国家自然科学基金资助项目(60704030)

摘　　要：为了解决大尺度复杂网络的稳定性问题,通过研究原网络稳定性与其子群落稳定性之间的关系,在V稳定性理论的基础上,提出一种新的牵制控制策略.在满足一定衡量标准的情况下,对原网络先应用快速分群法,将其划分成几个独立的子群落,再依次对每个子群落进行特定牵制控制的策略能够实现复杂网络的V稳定.研究结果表明:这种控制策略与直接对原网络进行特定牵制控制相比,所需控制器的个数更少,控制方法的实用性和有效性都得到了提高.Based on V-stability theory,a novel pinning control strategy for the stability problem of complex large scale network was presented via studying the relationship between the original network and its communities.In the case of certain criterions,the network was separated into small communities by a fast division algorithm before applying pinning control for deriving stabilization.The new control method which needs less number of pinned nodes is more effective and practical than the previous specifically pinning strategy.As illustrative examples,several network models were simulated to verify the results.

关 键 词：复杂网络 牵制控制 V稳定性 社团结构 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]