Feedback and adaptive synchronization of chaotic Lu system

被引:26
作者
Yassen, MT [1 ]
机构
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
关键词
D O I
10.1016/j.chaos.2004.11.042
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper treats chaos synchronization problem of chaotic Lu system. Two control approaches via a single variable are investigated, namely a linear feedback control and adaptive control. Based on Lyapunov stability theory, control laws are derived such that the two identical Lu systems are to be synchronized. In both cases sufficient conditions for the synchronization are obtained analytically. Numerical simulations are shown to verify the results. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:379 / 386
页数:8
相关论文
共 18 条
[1]   Synchronization of Rossler and Chen chaotic dynamical systems using active control [J].
Agiza, HN ;
Yassen, MT .
PHYSICS LETTERS A, 2001, 278 (04) :191-197
[2]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[3]   Synchronization of chaotic systems via nonlinear control [J].
Huang, LL ;
Feng, RP ;
Wang, M .
PHYSICS LETTERS A, 2004, 320 (04) :271-275
[4]   A new criterion for chaos synchronization using linear state feedback control [J].
Jiang, GP ;
Chen, GR ;
Tang, WKS .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (08) :2343-2351
[5]   Modification for synchronization of Rossler and Chen chaotic systems [J].
Li, Z ;
Han, CZ ;
Shi, SJ .
PHYSICS LETTERS A, 2002, 301 (3-4) :224-230
[6]   Adaptive synchronization of chaotic systems and its application to secure communications [J].
Liao, TL ;
Tsai, SH .
CHAOS SOLITONS & FRACTALS, 2000, 11 (09) :1387-1396
[7]   Adaptive control and synchronization of Lorenz systems [J].
Liao, TL ;
Lin, SH .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1999, 336 (06) :925-937
[8]   Adaptive synchronization of two Lorenz systems [J].
Liao, TL .
CHAOS SOLITONS & FRACTALS, 1998, 9 (09) :1555-1561
[9]  
LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO
[10]  
2