Mittag-Leffler synchronization of fractional-order uncertain chaotic systems

被引：2
|
作者：
Wang Qiao [1 ]
Ding Dong-Sheng [1 ]
Qi Dong-Lian [1 ]
机构：
[1] Zhejiang Univ, Coll Elect Engn, Hangzhou 310027, Peoples R China
来源：
CHINESE PHYSICS B | 2015年 / 24卷 / 06期
基金：
中国国家自然科学基金;
关键词：
chaos; synchronization; adaptive control; Mittag-Leffler stability; ADAPTIVE IMPULSIVE SYNCHRONIZATION; STABILITY;
D O I：
10.1088/1674-1056/24/6/060508
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper deals with the synchronization of fractional-order chaotic systems with unknown parameters and unknown disturbances. An adaptive control scheme combined with fractional-order update laws is proposed. The asymptotic stability of the error system is proved in the sense of generalized Mittag-Leffler stability. The two fractional-order chaotic systems can be synchronized in the presence of model uncertainties and additive disturbances. Finally these new developments are illustrated in examples and numerical simulations are provided to demonstrate the effectiveness of the proposed control scheme.
引用
收藏
页数：6
相关论文
共 50 条
  • [1] Mittag–Leffler synchronization of fractional-order uncertain chaotic systems
    王乔
    丁冬生
    齐冬莲
    [J]. Chinese Physics B, 2015, (06) : 229 - 234
  • [2] Global Mittag-Leffler boundedness and synchronization for fractional-order chaotic systems
    Jian, Jigui
    Wu, Kai
    Wang, Baoxian
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 540
  • [3] Mittag-Leffler stability, control, and synchronization for chaotic generalized fractional-order systems
    Abed-Elhameed, Tarek M.
    Aboelenen, Tarek
    [J]. ADVANCES IN CONTINUOUS AND DISCRETE MODELS, 2022, 2022 (01):
  • [4] Chaos Synchronization for Uncertain Fractional Order Chaotic Systems based on Mittag-Leffler Fractional Sliding Mode Control
    Wang, Qiao
    Shan, Kemeng
    Qi, Donglian
    Yu, Miao
    Li, Chaoyong
    [J]. PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 11345 - 11350
  • [5] Robust Mittag-Leffler stabilisation of fractional-order systems
    Jonathan Munoz-Vazquez, Aldo
    Parra-Vega, Vicente
    Sanchez-Orta, Anand
    Martinez-Reyes, Fernando
    [J]. ASIAN JOURNAL OF CONTROL, 2020, 22 (06) : 2273 - 2281
  • [6] Mittag–Leffler stability, control, and synchronization for chaotic generalized fractional-order systems
    Tarek M. Abed-Elhameed
    Tarek Aboelenen
    [J]. Advances in Continuous and Discrete Models, 2022
  • [7] Synchronization of Fractional Stochastic Chaotic Systems via Mittag-Leffler Function
    Sathiyaraj, T.
    Feckan, Michal
    Wang, JinRong
    [J]. FRACTAL AND FRACTIONAL, 2022, 6 (04)
  • [8] A Mittag-Leffler fractional-order difference observer
    Miguel Delfin-Prieto, Sergio
    Martinez-Guerra, Rafael
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (05): : 2997 - 3018
  • [9] Adaptive Synchronization Strategy between Two Autonomous Dissipative Chaotic Systems Using Fractional-Order Mittag-Leffler Stability
    Liu, Licai
    Du, Chuanhong
    Zhang, Xiefu
    Li, Jian
    Shi, Shuaishuai
    [J]. ENTROPY, 2019, 21 (04)
  • [10] Mittag-Leffler synchronization of fractional-order coupled neural networks with mixed delays
    Zheng, Bibo
    Wang, Zhanshan
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2022, 430
12345