两个复杂网络的指数同步的最优牵制控制  

Optimal Pinning Control of Exponential Synchronization between Two Complex Networks

作　　者：杨占英[1] 唐小云 Yang Zhanying;Tang Xiaoyun(College of Mathematics and Statistics,South-Central University for Nationalities,Wuhan 430074,China)

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2018年第4期145-150,共6页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家自然科学基金资助项目(11401595)

摘　　要：研究了两个复杂网络指数同步的最优牵制控制问题.基于线性反馈策略,给出了两个网络达到指数同步的牵制准则.通过具体例子展示了牵制节点数目和反馈增益的可行组合的计算方法以及最优组合的确定方法,同时也分析了耦合强度和网络的稠密程度对最优牵制比的影响.最后,给出两个例子验证了该最优控制方法的有效性.In this paper,the problem of optimal pinning control for the exponential synchronization between two complex networks is investigated.Based on the linear feedback scheme,a pinning criterion is given to ensure the exponential synchronization can be achieved between two complex networks.For the feasible combination of pinned node number and feedback gain,a specific example is used to show the computation method and how to find their optimal combination.Meanwhile,it is analyzed that the optimal pinning ratio is effected by the coupling strength and the density of networks.Finally,two examples are provided to demonstrate the effectiveness of the optimal pinning control method.

关 键 词：复杂网络 指数同步 线性反馈控制 牵制控制 

分 类 号：O231[理学—运筹学与控制论] TP273[理学—数学]