Chaos control in the fractional-order Lorenz system with Random Parameter

被引:4
|
作者
Qiao, Wei [1 ]
机构
[1] Ningxia Coalfield Geol Bur, Inst Mine Andgeol Disaster Management, Ningxia, Peoples R China
关键词
random parameter; fractional-order; Chebyshev polynomial; Linear feedback method; Chaos control;
D O I
10.4028/www.scientific.net/AMM.278-280.1423
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we study the chaos control in the fractional-order Lorenz system with random parameter. Firstly, according to orthogonal polynomial approximation principle of the Functional analysis, the fractional-order Lorenz system with random parameter is reduced to its equivalent deterministic one. Secondly, chaos control equivalent deterministic system research using the linear feedback method. Finally, though numerical results show the effective and feasible of this method.
引用
收藏
页码:1423 / 1426
页数:4
相关论文
共 50 条
  • [21] ADAPTIVE SYNCHRONIZATION OF A FRACTIONAL-ORDER COMPLEX T SYSTEM WITH A RANDOM PARAMETER
    Liu, Xiaojun
    Hong, Ling
    INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2015, VOL 6, 2016,
  • [22] Dynamic analysis of a fractional-order Lorenz chaotic system
    Yu, Yongguang
    Li, Han-Xiong
    Wang, Sha
    Yu, Junzhi
    CHAOS SOLITONS & FRACTALS, 2009, 42 (02) : 1181 - 1189
  • [23] Chaos in fractional-order Liu system and a fractional-order unified system and the synchronization between them
    Zhang Cheng-Fen
    Gao Jin-Feng
    Xu Lei
    ACTA PHYSICA SINICA, 2007, 56 (09) : 5124 - 5130
  • [24] Analysis and circuit implementation for the fractional-order Lorenz system
    Jia Hong-Yan
    Chen Zeng-Qiang
    Xue Wei
    ACTA PHYSICA SINICA, 2013, 62 (14)
  • [25] Fractional-order complex T system: bifurcations, chaos control, and synchronization
    Xiaojun Liu
    Ling Hong
    Lixin Yang
    Nonlinear Dynamics, 2014, 75 : 589 - 602
  • [26] Chaos, Hopf bifurcation and control of a fractional-order delay financial system
    Shi, Jianping
    He, Ke
    Fang, Hui
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2022, 194 : 348 - 364
  • [27] On adaptive chaos control and synchronization of a novel fractional-order financial system
    Hajipour, Ahmad
    Tavakoli, Hamidreza
    2019 6TH INTERNATIONAL CONFERENCE ON CONTROL, INSTRUMENTATION AND AUTOMATION (ICCIA), 2019, : 50 - 56
  • [28] Fractional-order complex T system: bifurcations, chaos control, and synchronization
    Liu, Xiaojun
    Hong, Ling
    Yang, Lixin
    NONLINEAR DYNAMICS, 2014, 75 (03) : 589 - 602
  • [29] A Novel Fractional-Order System: Chaos, Hyperchaos and Applications to Linear Control
    Matouk, Ahmed Ezzat
    JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2021, 7 (02): : 701 - 714
  • [30] Chaos in a fractional-order neutral differential system
    Feng, Yong
    Lin, Xiaoran
    Zhou, Shangbo
    Li, Hua
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2013, 7 (01): : 233 - 238