Adaptive control and synchronization of a novel hyperchaotic system with uncertain parameters

被引：49
|
作者：
Zhou, Xiaobing [1 ]
Wu, Yue [1 ]
Li, Yi. [1 ]
Xue, Hongquan [2 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Engn & Comp Sci, Chengdu 610054, Sichuan, Peoples R China
[2] Xian Univ Technol, Sch Business Management, Xian 710048, Shanxi, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 203卷 / 01期
关键词：
hyperchaotic system; adaptive control; adaptive synchronization; Lyapunov stability theory;
D O I：
10.1016/j.amc.2008.04.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problems of control and synchronization of a novel hyperchaotic system with uncertain parameters are studied. Based on the Lyapunov stability theory and the adaptive control theory, this uncertain hyperchaotic system is suppressed to its unstable equilibrium. Furthermore, synchronization between two identical uncertain hyperchaotic systems is achieved by proposing an adaptive control law and a parameter estimation update law. Numerical simulations are presented to demonstrate the analytical results. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：80 / 85
页数：6
相关论文
共 50 条
  • [41] Analysis, Control and Synchronization of Hyperchaotic Zhou System via Adaptive Control
    Vaidyanathan, Sundarapandian
    ADVANCES IN COMPUTING AND INFORMATION TECHNOLOGY, VOL 2, 2013, 177 : 1 - 10
  • [42] Switched modified function projective synchronization of hyperchaotic Qi system with uncertain parameters
    Sudheer, K. Sebastian
    Sabir, M.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (12) : 4058 - 4064
  • [43] Adaptive Synchronization and Antisynchronization of a Hyperchaotic Complex Chen System with Unknown Parameters Based on Passive Control
    Zhou, Xiaobing
    Xiong, Lianglin
    Cai, Weiwei
    Cai, Xiaomei
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [44] Impulsive Synchronization and Adaptive-Impulsive Synchronization of a Novel Financial Hyperchaotic System
    Chai, Xiuli
    Gan, Zhihua
    Shi, Chunxiao
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [45] Generalized synchronization of hyperchaotic systems with unknown parameters using adaptive control
    Huang Xia
    Cao Jinde
    2006 CHINESE CONTROL CONFERENCE, VOLS 1-5, 2006, : 2175 - +
  • [46] Generalized Synchronization with Uncertain Parameters of Nonlinear Dynamic System via Adaptive Control
    Yang, Cheng-Hsiung
    Wu, Cheng-Lin
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [47] Synchronization and parameters identification of uncertain Lu system based upon adaptive control
    Qing Zhang
    Fenglin Qu
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 : 466 - 468
  • [48] Adaptive synchronization of energy resource system with uncertain parameters
    Tian, Li-Xin
    Xu, Jun
    Sun, Mei
    Jiangsu Daxue Xuebao (Ziran Kexue Ban) / Journal of Jiangsu University (Natural Science Edition), 2007, 28 (04): : 358 - 361
  • [49] Adaptive synchronization of Chen chaotic system with uncertain parameters
    Department of Electronic Information
    The Journal of China Universities of Posts and Telecommunications, 2007, (02) : 103 - 105
  • [50] Adaptive Synchronization for Hyperchaotic Liu System
    Li, Shunjie
    Wu, Yawen
    Zheng, Gang
    FRONTIERS IN PHYSICS, 2022, 9
12345