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
  • [31] Adaptive synchronization of a class of fractional-order chaotic systems
    Ma Tie-Dong
    Jiang Wei-Bo
    Fu Jie
    Chai Yi
    Chen Li-Ping
    Xue Fang-Zheng
    ACTA PHYSICA SINICA, 2012, 61 (16)
  • [32] Adaptive synchronization and anti-synchronization of fractional order chaotic optical systems with uncertain parameters
    Ababneh, O.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2021, 23 (04): : 302 - 314
  • [33] Synchronization of fractional-order uncertain chaotic systems with input nonlinearity
    Noghredani, Naeimadeen
    Balochian, Saeed
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2015, 44 (04) : 485 - 498
  • [34] Synchronization in a unified fractional-order chaotic system
    Wu Zheng-Mao
    Xie Jian-Ying
    CHINESE PHYSICS, 2007, 16 (07): : 1901 - 1907
  • [35] Synchronization Of Liu Chaotic System With Fractional-Order
    Huang, Suhai
    INDUSTRIAL INSTRUMENTATION AND CONTROL SYSTEMS II, PTS 1-3, 2013, 336-338 : 467 - 470
  • [36] Mittag–Leffler synchronization of fractional-order uncertain chaotic systems
    王乔
    丁冬生
    齐冬莲
    Chinese Physics B, 2015, 24 (06) : 229 - 234
  • [37] Fractional-order adaptive controller for chaotic synchronization and application to a dual-channel secure communication system
    Li, Ye
    Wang, Haoping
    Tian, Yang
    MODERN PHYSICS LETTERS B, 2019, 33 (24):
  • [38] Adaptive Generalized Projective Synchronization of a New Fractional Chaotic System with uncertain parameters
    Huang, Jiaoru
    Zhong, Kun
    Qian, Fucai
    PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC), 2018, : 2365 - 2369
  • [39] Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control
    Wang, Zhen
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
  • [40] Adaptive Synchronization Of Uncertain Fractional-Order Chaotic Triangular Systems Via Fuzzy Backstepping Control
    Boubellouta, A.
    Boulkroune, A.
    2019 6TH INTERNATIONAL CONFERENCE ON CONTROL, DECISION AND INFORMATION TECHNOLOGIES (CODIT 2019), 2019, : 2004 - 2009