Synchronization Problem of a Novel Fractal-Fractional Orders' Hyperchaotic Finance System

被引：0
|
作者：
Zhang, Yaru [1 ]
Du, Yingxue [2 ]
机构：
[1] School of Mathematics and Statistics, Qilu University of Technology, Shandong Academy of Sciences, Jinan,250353, China
[2] School of Automation and Electrical Engineering, Linyi University, Linyi,276005, China
来源：
Mathematical Problems in Engineering | 2021年 / 2021卷
关键词：
Finance - Synchronization - Uncertainty analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper investigates the synchronization problem of a novel fractal-fractional (FF) orders' hyperchaotic finance system with model uncertainty and external disturbance. Firstly, a controller is designed to realize the synchronization of the nominal FF-orders' hyperchaotic finance system. Secondly, a suitable filer is designed to estimate uncertainty and disturbance, and then, the uncertainty and disturbance estimator-(UDE-) based control method is proposed to realize the synchronization problem of such system. Finally, numerical simulations are carried out to verify the correctness and the effectiveness of the obtained results. © 2021 Yaru Zhang and Yingxue Du.
引用
收藏
相关论文
共 50 条
  • [41] Fractal-fractional neuro-adaptive method for system identification
    C. J. Zúñiga-Aguilar
    J. F. Gómez-Aguilar
    H. M. Romero-Ugalde
    Hadi Jahanshahi
    Fawaz E. Alsaadi
    Engineering with Computers, 2022, 38 : 3085 - 3108
  • [42] A comprehensive view of the solvability of non-local fractional orders pantograph equation with a fractal-fractional feedback control
    El-Sayed, A. M. A.
    Hashem, H. H. G.
    Al-Issa, Sh. M.
    AIMS MATHEMATICS, 2024, 9 (07): : 19276 - 19298
  • [43] New Fractional Order Hyperchaotic System and Generalized Projective Synchronization
    Khan, Ayub
    Garg, Net Ram
    Jain, Geeta
    2014 INTERNATIONAL CONFERENCE ON COMPUTING FOR SUSTAINABLE GLOBAL DEVELOPMENT (INDIACOM), 2014, : 481 - 485
  • [44] Control and synchronization of a hyperchaotic finance system via single controller scheme
    He, Ping
    Li, Yangmin
    INTERNATIONAL JOURNAL OF INTELLIGENT COMPUTING AND CYBERNETICS, 2015, 8 (04) : 330 - 344
  • [45] The synchronization of a fractional order hyperchaotic system based on passive control
    吴朝俊
    张彦斌
    杨宁宁
    Chinese Physics B, 2011, 20 (06) : 104 - 110
  • [46] Designing synchronization schemes for a fractional-order hyperchaotic system
    Zhang Ruo-Xun
    Yang Shi-Ping
    ACTA PHYSICA SINICA, 2008, 57 (11) : 6837 - 6843
  • [47] Dynamical behaviors and synchronization in the fractional order hyperchaotic Chen system
    Hegazi, A. S.
    Matouk, A. E.
    APPLIED MATHEMATICS LETTERS, 2011, 24 (11) : 1938 - 1944
  • [48] Synchronization Via Fractal-Fractional Differential Operators on Two-Mass Torsional Vibration System Consisting of Motor and Roller
    Abro, Kashif Ali
    Atangana, Abdon
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2021, 16 (12):
  • [49] The synchronization of a fractional order hyperchaotic system based on passive control
    Wu Chao-Jun
    Zhang Yan-Bin
    Yang Ning-Ning
    CHINESE PHYSICS B, 2011, 20 (06)
  • [50] A novel fractional-order hyperchaotic system with a quadratic exponential nonlinear term and its synchronization
    Ali Reza Sahab
    Masoud Taleb Ziabari
    Mohammad Reza Modabbernia
    Advances in Difference Equations, 2012
12345