Adaptive synchronization between two different noise-perturbed chaotic systems with fully unknown parameters

被引:28
|
作者
Sun, Yonghui [1 ]
Cao, Jinde [1 ]
机构
[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China
基金
中国国家自然科学基金;
关键词
adaptive synchronization; mean square asymptotic stability; noise perturbation; unknown parameters; update laws of parameters;
D O I
10.1016/j.physa.2006.10.039
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper investigates adaptive synchronization between two different noise-perturbed chaotic systems with fully unknown parameters. Based on Lyapunov stability theory, the general expression of the suitable nonlinear adaptive synchronization controller is developed. At the same time, the noise-perturbed update laws of parameters are proposed to guarantee the synchronization of two different unknown chaotic systems. Theoretical analysis and numerical simulations on adaptive synchronization between Rossler system and noise-perturbed Chua's circuits, Lorenz system and noise-perturbed Chen system with fully unknown parameters show the efficiency of the proposed adaptive scheme. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:253 / 265
页数:13
相关论文
共 50 条
  • [41] Adaptive added-order anti-synchronization of chaotic systems with fully unknown parameters
    Shi, Xue Rong
    Wang, Zuo Lei
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (05) : 1711 - 1717
  • [42] Adaptive reduced-order anti-synchronization of chaotic systems with fully unknown parameters
    Al-sawalha, M. Mossa
    Noorani, M. S. M.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (10) : 3022 - 3034
  • [43] Robust function projective synchronization of two different chaotic systems with unknown parameters
    Du, Hongyue
    Li, Feng
    Meng, Guangshi
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (10): : 2782 - 2794
  • [44] Adaptive add order synchronization and anti-synchronization of fractional order chaotic systems with fully unknown parameters
    Al-sawalha, M. Mossa
    Ghazel, M.
    Ababneh, O. Y.
    Shoaib, M.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (05): : 2592 - 2606
  • [45] 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 - +
  • [46] Adaptive generalized functional synchronization of chaotic systems with unknown parameters
    王东风
    韩璞
    Chinese Physics B, 2008, 17 (10) : 3603 - 3608
  • [47] Adaptive generalized functional synchronization of chaotic systems with unknown parameters
    Wang Dong-Feng
    Han Pu
    CHINESE PHYSICS B, 2008, 17 (10) : 3603 - 3608
  • [48] Adaptive bidirectionally coupled synchronization of chaotic systems with unknown parameters
    Xu, Yuhua
    Zhou, Wuneng
    Fang, Jian'an
    Sun, Wen
    NONLINEAR DYNAMICS, 2011, 66 (1-2) : 67 - 76
  • [49] Adaptive bidirectionally coupled synchronization of chaotic systems with unknown parameters
    Yuhua Xu
    Wuneng Zhou
    Jian’an Fang
    Wen Sun
    Nonlinear Dynamics, 2011, 66 : 67 - 76
  • [50] Review article on adaptive synchronization of chaotic systems with unknown parameters
    Hassan Adloo
    Mehdi Roopaei
    Nonlinear Dynamics, 2011, 65 : 141 - 159