Adaptive function Q-S synchronization of chaotic systems with unknown parameters

✍ Scribed by Jiakun Zhao; Kecun Zhang

• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 413 KB
• Volume: 24
• Category: Article
• ISSN: 0890-6327
• DOI: 10.1002/acs.1159

✦ Synopsis

Abstract

This work investigates the adaptive function Q‐S synchronization of non‐identical chaotic systems with unknown parameters. The sufficient conditions for achieving Q‐S synchronization with a desired scaling function of two different chaotic systems (including different dimensional systems) are derived based on the Lyapunov stability theory. By the adaptive control technique, the control laws and the corresponding parameter update laws are proposed such that the Q‐S synchronization of non‐identical chaotic systems is to be achieved. Finally, four illustrative numerical simulations are also given to demonstrate the effectiveness of the proposed scheme. Copyright © 2009 John Wiley & Sons, Ltd.