A linear feedback synchronization theorem for a class of chaotic systems

被引:130
|
作者
Liu, F [1 ]
Ren, Y
Shan, XM
Qiu, ZL
机构
[1] Tsing Hua Univ, Dept Elect Engn, Beijing 100084, Peoples R China
[2] Xian Jiaotong Univ, Dept Automat Control, Xian 710049, Peoples R China
关键词
D O I
10.1016/S0960-0779(01)00011-X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A new synchronization theorem for a class of chaotic systems is presented in this paper. We take the last state variable of drive system as the driving scalar signal. Its linear feedback gain is a function of a free parameter. It is also proved that the global synchronization can be attained through simple linear output error feedback. This approach is illustrated by Chua's circuit and a 4D hyperchaotic system. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:723 / 730
页数:8
相关论文
共 50 条
  • [1] A variable feedback synchronization theorem of chaotic systems
    Huang, XY
    Chen, YH
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2005, 2 : 474 - 478
  • [2] Control and synchronization for a class of new chaotic systems via linear feedback
    Jianxiong Zhang
    Wansheng Tang
    Nonlinear Dynamics, 2009, 58 : 675 - 686
  • [3] Control and synchronization for a class of new chaotic systems via linear feedback
    Zhang, Jianxiong
    Tang, Wansheng
    NONLINEAR DYNAMICS, 2009, 58 (04) : 675 - 686
  • [4] A global synchronization theorem for a class of chaotic systems
    Wang, XF
    Wang, ZQ
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (06): : 1363 - 1369
  • [5] A new output feedback synchronization theorem for a class of chaotic systems with a scalar transmitted signal
    Lu, JG
    CHINESE PHYSICS, 2006, 15 (01): : 83 - 88
  • [6] A new output feedback synchronization theorem for a class of chaotic systems with a scalar transmitted signal
    Department of Automation, Shanghai Jiaotong University, Shanghai 200240, China
    Chin. Phys., 2006, 1 (83-88):
  • [7] Synchronization of Chaotic Systems by Linear Feedback Controller
    Zhenxun HUANG and Jiong RUAN (Department of Mathematics
    Communications in Nonlinear Science & Numerical Simulation, 1998, (01) : 27 - 30
  • [8] Synchronization of chaotic systems by linear feedback controller
    Department of Mathematics, Fudan University, Shanghai 200433, China
    Communications in Nonlinear Science and Numerical Simulation, 1998, 3 (01): : 27 - 30
  • [9] Chaos Synchronization of a Class of Chaotic Systems via Linear State Error Feedback Control
    Du, Liming
    Wang, Fengying
    Han, Ziyang
    Dong, Jie
    PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON ADVANCES IN MECHANICAL ENGINEERING AND INDUSTRIAL INFORMATICS (AMEII 2016), 2016, 73 : 1592 - 1598
  • [10] Anti-synchronization of a class of coupled chaotic systems via linear feedback control
    Li, Chuandong
    Liao, Xiafeng
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (04): : 1041 - 1047