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

来源：

CHAOS SOLITONS & FRACTALS | 2005年 / 25卷 / 02期

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

页码：379 / 386

页数：8

共 18 条

[1] Synchronization of Rossler and Chen chaotic dynamical systems using active control
Agiza, HN
Yassen, MT
[J]. PHYSICS LETTERS A, 2001, 278 (04) : 191 - 197
[2] Yet another chaotic attractor
Chen, GR
Ueta, T
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07): : 1465 - 1466
[3] Synchronization of chaotic systems via nonlinear control
Huang, LL
Feng, RP
Wang, M
[J]. PHYSICS LETTERS A, 2004, 320 (04) : 271 - 275
[4] A new criterion for chaos synchronization using linear state feedback control
Jiang, GP
Chen, GR
Tang, WKS
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (08): : 2343 - 2351
[5] Modification for synchronization of Rossler and Chen chaotic systems
Li, Z
Han, CZ
Shi, SJ
[J]. PHYSICS LETTERS A, 2002, 301 (3-4) : 224 - 230
[6] Adaptive synchronization of chaotic systems and its application to secure communications
Liao, TL
Tsai, SH
[J]. CHAOS SOLITONS & FRACTALS, 2000, 11 (09) : 1387 - 1396
[7] Adaptive control and synchronization of Lorenz systems
Liao, TL
Lin, SH
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1999, 336 (06): : 925 - 937
[8] Adaptive synchronization of two Lorenz systems
Liao, TL
[J]. 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

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