两个异构复杂网络的广义同步与参数识别

Generalized Synchronization and System Parameters Identification Between Two Different Complex Networks

本文实现复杂网络未知系统参数的识别.针对系统未知参数,提出基于广义同步(Generalized synchronization,GS)的参数识别方法.该方法基于Babalat引理,利用Lyapunov稳定性理论,构造另一个具有不同拓扑结构和动力学方程的网络,并设计有效的自适应控制器,实现具有耦合时滞两个不同网络的广义同步,同时准确识别未知参数.与基于完全同步的参数识别方法相比,该方法能够构造低维的系统去识别高维系统的参数.数值实验验证了算法的有效性.

This paper proposes a method to identify system unknown parameters of complex network. Aimed at system unknown parameters, a method using generalized synchronization （GS） is proposed. This method bases on Barbalat lemma and Lyapunov stability scheme and contructs an auxiliary complex network with different topologies and dynamics. Some adaptive controllers are also designed to identify system parameters upon GS with delay coupling. Compared to the method based on complete outer synchronization, the proposed method can construct simple and low dimensional dynamics to identify the parameters of high dimensional dynamics. Numerical simulations are provided to show the effectiveness of the proposed method.