两个时变复杂网络的自适应同步

摘要

研究了两个时变复杂网络的自适应同步.根据Lyapunov稳定性理论,分析了两个时变复杂网络的同步条件,并且证明了它的有效性.为了验证理论结果,以不同参数下的Lorenz系统作为两个时变网络的节点动力学系统进行仿真分析,从仿真结果可以得到:如果不施加控制,这两个时变复杂网络不能实现同步;如果设计合适的自适应控制器,这两个时变复杂网络将达到同步.不管是对相同结构的复杂网络,还是对不同结构的复杂网络,仿真结果和理论分析均一致.%This paper studied adaptive synchronization between two time-varying coupled complex networks.We analyzed synchronization condition of two time-varying coupled networks by Lyapunov stability theory,and proved its effectieness.To verify theoretical results,we took Lorenz system with different parameters as the nodes dynamical system of the two networks.From the simulation results,we find if we do not add controller,the two networks can not achieve synchronization;but if we design appropriate adaptive controller,the two networks can achieve synchronization.The numerical simulations are in accordance with theoretical analysis,including complex networks with same and different structures.