Adaptive modified function projective synchronization of hyperchaotic systems with unknown parameters

被引:41
作者
Zheng, Song [1 ]
Dong, Gaogao [1 ]
Bi, Qinsheng [1 ]
机构
[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
Hyperchaotic systems; MFPS; Adaptive control; Lyapunov stability theorem; CHAOTIC SYSTEMS; UNCERTAIN; DIMENSION;
D O I
10.1016/j.cnsns.2009.12.010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is involved with the adaptive modified function projective synchronization (MPS) problem of hyperchaotic systems with unknown parameters Based on the Lyapunov stability theorem and adaptive control method, adaptive controllers and parameters update laws can be presented for the MFPS not only between two identical hyperchaotic systems but particularly also between two different hyperchaotic systems with fully unknown or partially unknown parameters. Moreover, the coupling strength can be automatically adapted to a updated law Numerical simulations are presented to show the effectiveness of the proposed synchronization schemes (C) 2009 Elsevier B.V. All rights reserved
引用
收藏
页码:3547 / 3556
页数:10
相关论文
共 24 条
[1]   Chaos synchronization of Lu dynamical system [J].
Agiza, HN .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 58 (1-2) :11-20
[2]  
Cai GL, 2008, CHINESE PHYS B, V17, P2412, DOI 10.1088/1674-1056/17/7/014
[3]   A new hyperchaotic system and its linear feedback control [J].
Cai Guo-Liang ;
Zheng Song ;
Tian Li-Xin .
CHINESE PHYSICS B, 2008, 17 (11) :4039-4046
[4]   Impulsive control and synchronization of general chaotic system [J].
Chen, DL ;
Sun, JT ;
Huang, CS .
CHAOS SOLITONS & FRACTALS, 2006, 28 (01) :213-218
[5]   Lag synchronization of structurally nonequivalent chaotic systems with time delays [J].
Chen, Yun ;
Chen, Xiaoxiang ;
Gu, Shengshi .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (09) :1929-1937
[6]   A novel hyperchaos system only with one equilibrium [J].
Chen, Zengqiang ;
Yang, Yong ;
Qi, Guoyuan ;
Yuan, Zhuzhi .
PHYSICS LETTERS A, 2007, 360 (06) :696-701
[7]  
DU H, 2008, KNOWL ACQ MOD WORKSH, P120
[8]   Function projective synchronization of different chaotic systems with uncertain parameters [J].
Du, Hongyue ;
Zeng, Qingshuang ;
Wang, Changhong .
PHYSICS LETTERS A, 2008, 372 (33) :5402-5410
[9]   Modified function projective synchronization of chaotic system [J].
Du, Hongyue ;
Zeng, Qingshuang ;
Wang, Changhong .
CHAOS SOLITONS & FRACTALS, 2009, 42 (04) :2399-2404
[10]  
HA MMA, 2010, COMMUN NONLINEAR SCI, V15, P1036