基于混合模式的BA无标度网络同步研究

Hybrid Mode Based Synchronization of BA Scale Free Network

为了解决基于混合模式的BA无标度网络的同步问题,首先,定义了虚拟领导节点和实体领导节点,提出了混合模式领导节点的概念。然后,用有向图表示BA无标度网络的拓扑结构,并根据该拓扑结构建立网络系统的一阶数学模型,在此基础上设计了准周期的离散控制器对领导节点进行复位,通过对领导节点的控制来控制整个网络的同步过程。最后,采用11个节点组成的BA无标度网络进行数值仿真,验证了同步理论的正确性,并分析了网络的同步速度与实体领导节点度之间的关系。

This paper mainly deals with the synchronization of BA scale free network based on hybrid mode.In order to make that possible,both virtual leader nodes and entity leader nodes were presented at first and on account of that,hybrid mode leader nodes was proposed.And the topology of the targeted BA scale free network was described by the directed graph,where the first-order mathematical model of the network system was established according to the topology structure.Upon which,the quasi-periodic discrete controller was employed to reset all kinds of the leader nodes afterwards,so that the synchronization of the entire network was turned into reality.Finally,as one of the case studies,the numerical simulation of the BA scale free network with 11 nodes was carried out to verify the efficacy of the suggested scheme.