Adaptive modified projective synchronization of a unified chaotic system with an uncertain parameter

被引:62
作者
Park, Ju H. [1 ]
机构
[1] Yeungnam Univ, Dept Elect Engn, Robust Control & Nonlinear Dynam Lab, Kyongsan 712749, South Korea
关键词
D O I
10.1016/j.chaos.2006.04.047
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An adaptive modified projective synchronization (AMPS) is proposed to acquire a general kind of proportional relationship between the drive and response systems. Based on the Lyapunov stability theory, a nonlinear control scheme for the synchronization has been presented. The control performances are verified by numerical simulations. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1552 / 1559
页数:8
相关论文
共 32 条
[1]   On some controllability conditions for chaotic dynamics control [J].
Chen, GR .
CHAOS SOLITONS & FRACTALS, 1997, 8 (09) :1461-1470
[2]   Global chaos synchronization of new chaotic systems via nonlinear control [J].
Chen, HK .
CHAOS SOLITONS & FRACTALS, 2005, 23 (04) :1245-1251
[3]   Controlling and synchronizing chaotic Genesio system via nonlinear feedback control [J].
Chen, MY ;
Han, ZZ .
CHAOS SOLITONS & FRACTALS, 2003, 17 (04) :709-716
[4]   Adaptive synchronization of Lu system with uncertain parameters [J].
Elabbasy, EM ;
Agiza, HN ;
El-Dessoky, MM .
CHAOS SOLITONS & FRACTALS, 2004, 21 (03) :657-667
[5]   STABILITY THEORY OF SYNCHRONIZED MOTION IN COUPLED-OSCILLATOR SYSTEMS [J].
FUJISAKA, H ;
YAMADA, T .
PROGRESS OF THEORETICAL PHYSICS, 1983, 69 (01) :32-47
[6]   Adaptive feedback synchronization of Lu system [J].
Han, X ;
Lu, JA ;
Wu, X .
CHAOS SOLITONS & FRACTALS, 2004, 22 (01) :221-227
[7]   A linear continuous feedback control of Chua's circuit [J].
Hwang, CC ;
Hsieh, JY ;
Lin, RS .
CHAOS SOLITONS & FRACTALS, 1997, 8 (09) :1507-1515
[8]   Linearly coupled synchronization of the unified chaotic systems and the Lorenz systems [J].
Li, D ;
Lu, JA ;
Wu, XQ .
CHAOS SOLITONS & FRACTALS, 2005, 23 (01) :79-85
[9]  
LI GH, IN PRESS CHAOS SOLIT
[10]   Synchronization of a unified chaotic system and the application in secure communication [J].
Lu, J ;
Wu, XQ ;
Lü, JH .
PHYSICS LETTERS A, 2002, 305 (06) :365-370