A function cascade synchronization method with unknown parameters and applications

作     者：安红利 陈勇 

作者机构：Nonlinear Science Center and Department of Mathematics Ningbo University Key Laboratory of Mathematics Mechanization Chinese Academy of Sciences 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2008年第17卷第1期

页      面：98-104页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学] 071101[理学-系统理论] 

基　　金：Project supported by the National Natural Science Foundation of China (Grant No 10735030) Zhejiang Provincial Natural Science Foundations of China (Grant No Y604056) Doctoral Foundation of Ningbo City, China (Grant No 2005A61030) Shanghai Leading Academic Discipline Project, China (Grant No B412) 

主　　题：chaos projective synchronization function projective synchronization cascade synchronization adaptive control 

摘      要：This paper investigates the function cascade synchronization of chaos system. Combining cascade synchronization scheme, parametric adaptive control and projective synchronization scheme, it proposes a new function cascade synchronization scheme to address a generalized-type synchronization problem of three famous chaotic systems： the Lorenz system, Liu system and RSssler system, the states of two identical chaotic systems with unknown parameters can be asymptotically synchronized by choosing different special suitable error functions. Numerical simulations are used to verify the effectiveness of the proposed synchronization techniques.