Advances in Difference Equations
Volume 2010 (2010), Article ID 808403, 12 pages
doi:10.1155/2010/808403
Research Article

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

Haipeng Peng,1,2,3 Lixiang Li,1,2,3 Fei Sun,1,2,3 Yixian Yang,1,2,3 and Xiaowen Li1

1Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, P.O. Box 145, Beijing 100876, China
2Key Laboratory of Network and Information Attack and Defence Technology of Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China
3National Engineering Laboratory for Disaster Backup and Recovery, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received 23 December 2009; Revised 27 April 2010; Accepted 29 May 2010

Academic Editor: A. Zafer

Copyright © 2010 Haipeng Peng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.