Lag synchronization of chaotic systems with uncertain parameters

doi:10.3778/j.issn.1002-8331.2010.28.007

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (28): 25-27.DOI: 10.3778/j.issn.1002-8331.2010.28.007

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Lag synchronization of chaotic systems with uncertain parameters

HU Ai-hua，XU Zhen-yuan，GUO Liu-xiao

School of Science，Jiangnan University，Wuxi，Jiangsu 214122，China

Received:2010-05-24 Revised:2010-08-23 Online:2010-10-01 Published:2010-10-01
Contact: HU Ai-hua

参数不确定混沌系统的时滞同步

胡爱花，徐振源，过榴晓

江南大学理学院，江苏无锡 214122

通讯作者: 胡爱花

Abstract

Abstract: When parameters of chaotic systems are uncertain，by using the adaptive control method，this paper investigates the problem of lag synchronization of systems.Based on Lyapunov stability theory，the conditions for synchronization are proposed.Moreover，the unknown parameters are identified finely.The effectiveness of results driven here is proved.In addition，the Lorenz system is taken for illustration.

Key words: lag synchronization, chaos, adaptive control, Lorenz system

摘要： 当混沌系统参数不确定时，采用自适应控制方法，研究了系统间的时滞同步问题。基于Lyapunov稳定性理论，给出了同步条件，并识别出了系统的未知参数。理论推导严格证明了结果的正确性；同时，以Lorenz系统为例进行了数值仿真与说明。

关键词: 时滞同步, 混沌, 自适应控制, Lorenz系统

CLC Number:

TP273

HU Ai-hua，XU Zhen-yuan，GUO Liu-xiao. Lag synchronization of chaotic systems with uncertain parameters[J]. Computer Engineering and Applications, 2010, 46(28): 25-27.

胡爱花，徐振源，过榴晓. 参数不确定混沌系统的时滞同步[J]. 计算机工程与应用, 2010, 46(28): 25-27.

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Lag synchronization of chaotic systems with uncertain parameters

参数不确定混沌系统的时滞同步

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