Anti-synchronization of Liu system and Lorenz system with known or unknown parameters

被引：35
|
作者：
Wang, Zuo-Lei [1 ]
Shi, Xue-Rong [1 ]
机构：
[1] Yancheng Teachers Univ, Dept Math, Yancheng 224002, Jiangsu, Peoples R China
来源：
NONLINEAR DYNAMICS | 2009年 / 57卷 / 03期
关键词：
Anti-synchronization; Liu system; Lorenz system; Lyapunov function; CHAOTIC SYNCHRONIZATION; PHASE;
D O I：
10.1007/s11071-008-9452-1
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This work is concerned with anti-synchronization of Liu system and Lorenz system. Based on Lyapunov stability theory, different controllers are designed to anti-synchronize the two non-identical chaotic systems, active control is used when parameters are known, while the adaptive control law and the parameter update rule are derived via adaptive control when parameters are uncertain. Moreover, the convergence speeds of the scheme can be adjusted by changing the control coefficients. Finally, numerical simulations are also shown to verify the results.
引用
收藏
页码：425 / 430
页数：6
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