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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 675840, 10 pages
http://dx.doi.org/10.1155/2014/675840
Research Article

A Novel Scheme Adaptive Hybrid Dislocated Synchronization for Two Identical and Different Memristor Chaotic Oscillator Systems with Uncertain Parameters

1College of Automation, Huazhong University of Science and Technology, Hubei 430074, China
2School of Science, Hubei University of Technology, Wuhan 430068, China
3School of Information Science and Engineering, Central South University, Changsha 410012, China

Received 12 July 2013; Revised 11 December 2013; Accepted 15 December 2013; Published 28 January 2014

Academic Editor: Chengjian Zhang

Copyright © 2014 Jie Chen 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

The drive system can synchronize with the response system by the scaling factor in the traditional projective synchronization. This paper proposes a novel adaptive hybrid dislocated synchronization with uncertain parameters scheme for chaos synchronization using the Lyapunov stability theory. The drive system is synchronized by the sum of hybrid dislocated state variables for the response system. By designing effective hybrid dislocated adaptive controller and hybrid dislocated adaptive law of the parameters estimation, we investigate the synchronization of two identical memristor chaotic oscillator systems and two different memristor chaotic oscillator systems with uncertain parameters. Finally, the numerical simulation examples are provided to show the effectiveness of our method.