Adaptive Dual Synchronization of Fractional-Order Chaotic System with Uncertain Parameters

被引:8
|
作者
Liu, Dehui [1 ]
Li, Tianzeng [1 ]
Wang, Yu [1 ]
机构
[1] Sichuan Univ Sci & Engn, Sch Math & Stat, Zigong 643000, Peoples R China
关键词
fractional derivative; dual combination synchronization; chaotic system; adaptive control; lyapunov stability theory; PROJECTIVE SYNCHRONIZATION;
D O I
10.3390/math10030470
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The problem of the dual synchronization of two different fractional-order chaotic systems with uncertain parameters is studied. This paper introduces a synchronization method in accordance with Lyapunov stability theory, and the adaptive controllers and adaptive laws are designed to realize the dual synchronization of fractional order chaotic systems. Finally, two numerical examples of unknown different fractional-order chaotic systems are also given to prove the accuracy of the theory in the paper, and the effectiveness and performance of the proposed adaptive dual synchronization strategy are verified by simulation.
引用
收藏
页数:16
相关论文
共 50 条
  • [41] Adaptive synchronization of uncertain fractional-order chaotic systems using sliding mode control techniques
    Yaghooti, Bahram
    Siahi Shadbad, Ali
    Safavi, Kaveh
    Salarieh, Hassan
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2020, 234 (01) : 3 - 9
  • [42] An Adaptive Tracking Control of Fractional-Order Chaotic Systems with Uncertain System Parameter
    Zhou, Ping
    Ding, Rui
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2011, 2011
  • [43] Adaptive terminal sliding mode control scheme for synchronization of fractional-order uncertain chaotic systems
    Modiri, Arshia
    Mobayen, Saleh
    ISA TRANSACTIONS, 2020, 105 : 33 - 50
  • [44] Adaptive synchronization of fractional-order chaotic system via sliding mode control
    Cao, He-Fei
    Zhang Ruo-Xun
    ACTA PHYSICA SINICA, 2011, 60 (05)
  • [45] Adaptive Synchronization between Fractional-Order Chaotic Real and Complex Systems with Unknown Parameters
    Tian, Xiaomin
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [46] Synchronization in a fractional-order dynamic network with uncertain parameters using an adaptive control strategy
    Du, Lin
    Yang, Yong
    Lei, Youming
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2018, 39 (03) : 353 - 364
  • [47] Synchronization in a fractional-order dynamic network with uncertain parameters using an adaptive control strategy
    Lin DU
    Yong YANG
    Youming LEI
    AppliedMathematicsandMechanics(EnglishEdition), 2018, 39 (03) : 353 - 364
  • [48] Synchronization in a fractional-order dynamic network with uncertain parameters using an adaptive control strategy
    Lin Du
    Yong Yang
    Youming Lei
    Applied Mathematics and Mechanics, 2018, 39 : 353 - 364
  • [49] One Adaptive Synchronization Approach for Fractional-Order Chaotic System with Fractional-Order 1 < q < 2
    Zhou, Ping
    Bai, Rongji
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [50] Control and Synchronization of the Fractional-Order Lorenz Chaotic System via Fractional-Order Derivative
    Zhou, Ping
    Ding, Rui
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012