带有未知参数的驱动-响应网络的自适应同步  

ADAPTIVE SYNCHRONIZATION OF DRIVE-RESPONSE DYNAMICAL NETWORK WITH UNKNOWN PARAMETERS

作　　者：王锦成[1] 

机构地区：[1]漳州师范学院数学与信息科学系,漳州363000

出　　处：《动力学与控制学报》2012年第1期31-35,共5页Journal of Dynamics and Control

基　　金：福建省自然科学基金资助项目(2011J01025)~~

摘　　要：研究由带有未知参数的混沌系统作为节点动力学构成的驱动-响应网络的自适应同步.基于Lya-punov稳定性理论以及LaSalle不变原理,设计合适的控制器和参数更新规则,使得驱动系统与响应网络达到同步.为了验证理论的正确性,选择加权网络和BA无标度网络作为数值例子,并比较相同网络结构下不同的节点动力学对同步时间的影响.数值仿真表明了该控制方案的有效性.This paper investigated the adaptive synchronization of a drive-response dynamical network,in which each node is a chaotic system with unkonwn parameters. Based on the Lyapunov stability theory and LaSalle’s invariant set theory,suitable controllers and parameters update laws were designed to achieve synchronization be- tween the drive system and response dynamical network. A weighted network and a scale-free network were used as examples to verify theoretical results. In addition,with the same network topology,synchronization time of dif- ferent dynamics was compared. Numerical simulations show the effectiveness of the control scheme.

关 键 词：驱动-响应网络 自适应同步 无标度网络 混沌 

分 类 号：O415.5[理学—理论物理]