Impulsive control and synchronization of unified chaotic system

被引:93
|
作者
Chen, SH [1 ]
Yang, Q
Wang, CP
机构
[1] Wuhan Univ, Coll Math & Stat, Wuhan 430072, Peoples R China
[2] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada
基金
中国国家自然科学基金;
关键词
D O I
10.1016/j.chaos.2003.08.008
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We investigate the issue on impulsive control and synchronization of the unified chaotic system, which unifies both the Lorenz system and the Chen system. Some new and general conditions with varying impulsive distances are obtained to guarantee the impulsive control and synchronization global asymptotical stable. Especially, in the case of equal impulsive distances, some simple and easily verified sufficient conditions are derived for stabilizing and synchronizing the unified chaotic system. An illustrative example, along with computer simulation results, is finally included to visualize the effectiveness and feasibility of the developed methods. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码:751 / 758
页数:8
相关论文
共 50 条
  • [31] Conditions for impulsive synchronization of chaotic and hyperchaotic system
    Itoh, M
    Yang, T
    Chua, LO
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (02): : 551 - 560
  • [32] Chaotic cryptosystem with impulsive synchronization of Lorenz system
    Li, K
    Soh, YC
    Li, ZG
    PROCEEDINGS OF THE IASTED INTERNATIONAL CONFERENCE ON COMMUNICATIONS, INTERNET, AND INFORMATION TECHNOLOGY, 2002, : 315 - 320
  • [33] SYNCHRONIZATION OF UNIFIED CHAOTIC SYSTEM BY ROBUST H∞/SLIDING MODE CONTROL
    Yazdanbakhsh, Omolbanin
    Hoseinia, Saeid
    PROCEEDINGS OF THE ASME 10TH BIENNIAL CONFERENCE ON ENGINEERING SYSTEMS DESIGN AND ANALYSIS, 2010, VOL 5, 2010, : 163 - 169
  • [34] A unified approach for impulsive lag synchronization of chaotic systems with time delay
    Li, CD
    Liao, XF
    Zhang, R
    CHAOS SOLITONS & FRACTALS, 2005, 23 (04) : 1177 - 1184
  • [35] Impulsive control of chaotic system
    Liu, XZ
    Teo, KL
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (05): : 1181 - 1190
  • [36] Generalized projective synchronization of a unified chaotic system
    Yan, JP
    Li, CP
    CHAOS SOLITONS & FRACTALS, 2005, 26 (04) : 1119 - 1124
  • [37] Synchronization of Unified Chaotic System with Unknown Parameter
    Shao, Keyong
    Wang, Ruiyun
    Zhou, Luanjie
    Zhang, Yishu
    2009 IEEE INTERNATIONAL CONFERENCE ON AUTOMATION AND LOGISTICS ( ICAL 2009), VOLS 1-3, 2009, : 757 - 760
  • [38] Adaptive feedback synchronization of a unified chaotic system
    Lu, JN
    Wu, XQ
    Han, XP
    Lü, JH
    PHYSICS LETTERS A, 2004, 329 (4-5) : 327 - 333
  • [39] Adaptive synchronization for a unified chaotic system with uncertainty
    Li, Wenlin
    Liu, Zhenhong
    Miao, Jing
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (10) : 3015 - 3021
  • [40] Impulsive Synchronization of Lü Chaotic System Based on Small Impulsive Signal
    Zhijun Peng
    Yang Li
    Xiaofeng Liao
    Chuandong Li
    International Journal of Theoretical Physics, 2008, 47 : 797 - 804