Adaptive anti-synchronization of chaotic systems with fully unknown parameters

被引：45
|
作者：
Al-sawalha, M. Mossa [1 ]
Noorani, M. S. M. [1 ]
Al-dlalah, M. M. [1 ]
机构：
[1] Univ Kebangsaan Malaysia, Sch Math Sci, Ctr Modelling & Data Anal, Ukm Bangi 43600, Selangor, Malaysia
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 10期
关键词：
Lorenz system; Chen system; Anti-synchronization; Adaptive control; Unknown parameters; HYPERCHAOTIC SYSTEMS;
D O I：
10.1016/j.camwa.2010.03.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper centers on the chaos anti-synchronization between two identical or different chaotic systems using adaptive control. The sufficient conditions for achieving the anti-synchronization of two chaotic systems are derived based on Lyapunov stability theory. An adaptive control law and a parameter update rule for unknown parameters are introduced such that the Chen system is controlled to be the Lorenz system. Theoretical analysis and numerical simulations are shown to verify the results. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3234 / 3244
页数：11
相关论文
共 50 条
  • [41] Control of finite-time anti-synchronization for variable-order fractional chaotic systems with unknown parameters
    Zhang, Li
    Yu, Chenglong
    Liu, Tao
    NONLINEAR DYNAMICS, 2016, 86 (03) : 1967 - 1980
  • [42] Parameters identification and adaptive projective synchronization of chaotic systems with unknown parameters
    Hu Man-feng
    Xu Zhen-yuan
    Proceedings of 2006 Chinese Control and Decision Conference, 2006, : 62 - +
  • [43] Complete (anti-)synchronization of chaotic systems with fully uncertain parameters by adaptive control
    Xian-Feng Li
    Andrew Chi-Sing Leung
    Xiu-Ping Han
    Xiao-Jun Liu
    Yan-Dong Chu
    Nonlinear Dynamics, 2011, 63 : 263 - 275
  • [44] Complete (anti-)synchronization of chaotic systems with fully uncertain parameters by adaptive control
    Li, Xian-Feng
    Leung, Andrew Chi-Sing
    Han, Xiu-Ping
    Liu, Xiao-Jun
    Chu, Yan-Dong
    NONLINEAR DYNAMICS, 2011, 63 (1-2) : 263 - 275
  • [45] Anti-synchronization of two different chaotic systems
    Li, Wenlin
    Chen, Xiuqin
    Zhiping, Shen
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (14) : 3747 - 3750
  • [46] Adaptive synchronization of two chaotic systems with stochastic unknown parameters
    Salarieh, Hassan
    Alasty, Aria
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (02) : 508 - 519
  • [47] ADAPTIVE SYNCHRONIZATION OF TWO CHAOTIC CHEN SYSTEMS WITH UNKNOWN PARAMETERS
    Khordad, R.
    Dehghani, M. A.
    Dehghani, A.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2014, 25 (02):
  • [48] Adaptive generalized functional synchronization of chaotic systems with unknown parameters
    王东风
    韩璞
    Chinese Physics B, 2008, 17 (10) : 3603 - 3608
  • [49] Adaptive generalized functional synchronization of chaotic systems with unknown parameters
    Wang Dong-Feng
    Han Pu
    CHINESE PHYSICS B, 2008, 17 (10) : 3603 - 3608
  • [50] An H∞ approach to anti-synchronization for chaotic systems
    Ahn, Choon Ki
    PHYSICS LETTERS A, 2009, 373 (20) : 1729 - 1733
12345