同步(交流)
陈
控制理论(社会学)
混乱的
计算机科学
混沌同步
李雅普诺夫指数
非线性系统
理论(学习稳定性)
数学
Lyapunov稳定性
作者
Cai Guo-Liang,Huang Juan-juan
出处
期刊:Acta Physica Sinica
日期:2006-08-20
卷期号:55 (8): 3997-4004
被引量:23
摘要
In this paper two different methods——active control synchronization method and adaptive synchronization method are presented to study hyperchaotic Chen system and hyperchaotic Rssler system with different structure. Two different controllers are designed for synchronizing response system and drive system. When the parameters are known in advance, active control synchronization is adopted, the method is simple without constructing Lyapunov function and the time which realizes synchronization is short, when the parameters are fully unknown, the analytical expression of synchronization controller and adaptive law of parameters is given based on Lyapunov stability theory, which makes the different systems reach to synchronization and identifies the unknown parameters. Numerical simulation shows the effectiveness and feasibility of these two methods.
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