用牵制控制方法进行含随机噪声的复杂网络的拓扑结构识别

本文研究了含噪声的复杂动态网络的拓扑结构识别的问题.利用牵制控制(Pinning控制)方法,基于随机微分方程的理论基础,来进行网络的拓扑结构识别,设计自适应反馈控制器和识别率,来反演网络结构,通过数值仿真,获得了pinning控制方法主要是通过一部分未知节点来识别整个网络的拓扑结构的结果,噪声强度的范围将影响网络结构正确识别时的耦合强度范围,噪声强度越大,可识别的耦合强度也越大.

TOPOLOGY IDENTIFICATION OF COMPLEX DYNAMICALNETWORKS WITH STOCHASTIC PERTURBATIONS VIAPINNING CONTROL

This paper studies the topology identiflcation of complex dynamical networks with stochastic perturbations. Using the pinning control method and basing on the LaSalle invariance principle of stochastic difierential equation, we get the topology identiflcation network, feedback controller and adaptive inversion recognition rate design, network structure. Through the numerical simulation, we get the result that the pinning control method is identifying the whole network topology structure through the part of the unknown nodes, and the range of noise intensity will afiect the coupling strength range network structure when it is correctly identifled. The greater the itensity of noise is, the larger the recognition of the coupling strength is.