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

被引：5
|
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
来源：
MATHEMATICS | 2022年 / 10卷 / 03期
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
  • [1] Adaptive Synchronization of the Fractional-Order Unified Chaotic System with Uncertain Parameters
    Xu Jian-Qiang
    [J]. 2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 2423 - 2428
  • [2] Synchronization of fractional-order chaotic systems with uncertain parameters
    Zhang, Hong
    Pu, Qiumei
    [J]. ACHIEVEMENTS IN ENGINEERING MATERIALS, ENERGY, MANAGEMENT AND CONTROL BASED ON INFORMATION TECHNOLOGY, PTS 1 AND 2, 2011, 171-172 : 723 - 727
  • [3] Fuzzy adaptive synchronization of uncertain fractional-order chaotic systems
    Bouzeriba, A.
    Boulkroune, A.
    Bouden, T.
    [J]. INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2016, 7 (05) : 893 - 908
  • [4] The adaptive synchronization of fractional-order Liu chaotic system with unknown parameters
    Nourian, Adeleh
    Balochian, Saeed
    [J]. PRAMANA-JOURNAL OF PHYSICS, 2016, 86 (06): : 1401 - 1407
  • [5] The adaptive synchronization of fractional-order Liu chaotic system with unknown parameters
    ADELEH NOURIAN
    SAEED BALOCHIAN
    [J]. Pramana, 2016, 86 : 1401 - 1407
  • [6] Fuzzy adaptive synchronization of uncertain fractional-order chaotic systems
    A. Bouzeriba
    A. Boulkroune
    T. Bouden
    [J]. International Journal of Machine Learning and Cybernetics, 2016, 7 : 893 - 908
  • [7] Adaptive Synchronization of a Novel Fractional-order Hyperchaotic System with Uncertain Parameters
    Yang, Ningning
    Wu, Chaojun
    Liu, Chongxin
    Liu, Kai
    [J]. PROCEEDINGS OF THE 2015 7TH IEEE INTERNATIONAL CONFERENCE ON CYBERNETICS AND INTELLIGENT SYSTEMS (CIS) AND ROBOTICS, AUTOMATION AND MECHATRONICS (RAM), 2015,
  • [8] Anti-synchronization of a class of fractional-order chaotic system with uncertain parameters
    Ding, Ran
    Ma, Caoyuan
    Zhao, Yongyi
    Luo, Yanfang
    Liu, Jianhua
    [J]. Computer Modelling and New Technologies, 2014, 18 (11): : 108 - 112
  • [9] Adaptive impulsive synchronization of fractional order chaotic system with uncertain and unknown parameters
    Li, Dong
    Zhang, Xing-peng
    Hu, Yu-ting
    Yang, Yuan-yuan
    [J]. NEUROCOMPUTING, 2015, 167 : 165 - 171
  • [10] Adaptive control and synchronization of a fractional-order chaotic system
    Li, Chunlai
    Tong, Yaonan
    [J]. PRAMANA-JOURNAL OF PHYSICS, 2013, 80 (04): : 583 - 592
12345