Parameter Identification and Synchronization of Dynamical System by Introducing an Auxiliary Subsystem

Advances in Difference Equations

Yixian Yang¹  Haipeng Peng¹  Xiaowen Li²  Lixiang Li²  Fei Sun³ 

[1] Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China;Key Laboratory of Network and Information Attack and Defence Technology of Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China;National Engineering Laboratory for Disaster Backup and Recovery, Beijing University of Posts and Telecommunications, Beijing, China

关键词: Parameter Identification;    Lorenz System;    Synchronization Error;    Slave System;    Chaos Synchronization;   

DOI  :  10.1155/2010/808403

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We propose a novel approach of parameter identification using the adaptive synchronized observer by introducing an auxiliary subsystem, and some sufficient conditions are given to guarantee the convergence of synchronization and parameter identification. We also demonstrate the mean convergence of synchronization and parameters identification under the influence of noise. Furthermore, in order to suppress the influence of noise, we complement a filter in the output. Numerical simulations on Lorenz and Chen systems are presented to demonstrate the effectiveness of the proposed approach.

【 授权许可】

CC BY