TITLE:
Adaptive Lag Synchronization of Lorenz Chaotic System with Uncertain Parameters
AUTHORS:
Yanfei Chen, Zhen Jia, Guangming Deng
KEYWORDS:
Lag Synchronization; Adaptive Technique; Uncertain Parameters; Lorenz Chaotic System
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.6,
June
21,
2012
ABSTRACT: The paper discusses lag synchronization of Lorenz chaotic system with three uncertain parameters. Based on adaptive technique, the lag synchronization of Lorenz chaotic system is achieved by designing a novel nonlinear controller. Furthermore, the parameters identification is realized simultaneously. A sufficient condition is given and proved theoreticcally by Lyapunov stability theory and LaSalle’s invariance principle. Finally, the numerical simulations are provided to show the effectiveness and feasibility of the proposed method.