文献类型：期刊文献

中文题名：不同维混沌系统的混合函数投影同步及参数辨识

英文题名：Hybrid function projective synchronization and parameters identification of different dimension chaotic system

作者：李德奎[1];连玉平[1]

第一作者：李德奎

机构：[1]定西师范高等专科学校数学系,定西743000

第一机构：甘肃中医药大学定西校区

年份：2013

卷号：34

期号：3

起止页码：95

中文期刊名：青岛理工大学学报

外文期刊名：Journal of Qingdao University of Technology

基金：教育部科技研究重点项目(212180);甘肃省国际科技合作计划项目(1104WCGA195);定西师范高等专科学校青年项目(1329)

语种：中文

中文关键词：不同维混沌系统;混合函数投影同步;参数辨识

外文关键词：different dimension chaotic system; hybrid function projective synchronization; parameters identification

摘要：研究不同维混沌系统的混合函数投影同步及参数辨识问题,混合函数投影同步是指响应系统的各状态变量和驱动系统的相应状态变量之间分别以不同的函数比例实现同步.基于Lyapunov稳定性定理,设计自适应控制器,实现不同维混沌系统的混合函数投影同步,并构造混沌系统未知参数的辨识法则.以著名的超混沌Chen系统和Lorenz系统为例进行数值仿真,仿真的结果表明所设计控制器的有效性和参数辨识法则的正确性.本文的研究结果是把一些学者利用常数对角矩阵来实现相同维混沌系统的混合投影同步推广到利用函数对角矩阵实现不同维混沌系统的混合函数投影同步.
The problem for hybrid function projection synchronization and parameter identification of different dimension chaotic systems is researched in this paper,for hybrid function projection synchronization is the state variables of the response system and the corresponding state variables of the driving system realize synchronization by different function proportion respectively.Based on Lyapunov stability theorem,an adaptive controller is designed to realize hybrid function projection synchronization between the different dimension chaotic systems,and construct identification rules of the systems＇ unknown parameters,with famous hyperchaos Chen system and Lorenz system as numerical simulation example,the results of simulation further demonstrate the effectiveness of the proposed controller and the correctness of identification rules of parameters.The result in this paper extends the mixed projection synchronization of the same dimensional chaotic systems by using constant diagonal matrix to the mixed function projection synchronization of different dimensional chaotic systems by function diagonal matrix.