杨占英,唐小云.两个复杂网络的指数同步的最优牵制控制[J].中南民族大学学报自然科学版,2018,(4):145-150
两个复杂网络的指数同步的最优牵制控制
Optimal Pinning Control of Exponential Synchronizationbetween Two Complex Networks
  
DOI:10.12130/znmdzk.20180429
中文关键词: 复杂网络  指数同步  线性反馈控制  牵制控制
英文关键词: complex network  exponential synchronization  linear feedback control  pinning control
基金项目:国家自然科学基金资助项目(11401595)
作者单位
杨占英,唐小云 中南民族大学 数学与统计学学院武汉 430074 
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中文摘要:
      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.
英文摘要:
      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.
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