Control of a Hyperchaotic Discrete System

被引:0
|
作者
Li-qun Chen
Zeng-rong Liu
机构
[1] Shanghai University,Department of Mechanics
[2] Shanghai University,Department of Mathematics
来源
关键词
controlling chaos; hyperchaotic map; Liapunov direct method; stabilization; tracking;
D O I
暂无
中图分类号
学科分类号
摘要
The Control of a hyperchaotic discrete system is investigated. A time-varying feedback control law is established on the base of local linearization. The Liapunov direct method is applied to estimate the neighborhood in which the control law can be effectively used. Numerical examples are presented to demonstrate the applications of the control law to solve the problem of stabilizing unstable periodic orbits and the problem of tracking an arbitrarily given periodic orbit.
引用
收藏
页码:741 / 746
页数:5
相关论文
共 50 条
  • [41] Dynamical analysis and impulsive control of a new hyperchaotic system
    Li, YX
    Liu, XZ
    Zhang, HT
    MATHEMATICAL AND COMPUTER MODELLING, 2005, 42 (11-12) : 1359 - 1374
  • [42] A new hyperchaotic system and its linear feedback control
    Cai Guo-Liang
    Zheng Song
    Tian Li-Xin
    CHINESE PHYSICS B, 2008, 17 (11) : 4039 - 4046
  • [43] A new hyperchaotic particle motion system and its control
    Cui, Ning
    Li, Junhong
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2019, 30 (12):
  • [44] Fuzzy modelling and impulsive control of the hyperchaotic L system
    张小洪
    李东
    Chinese Physics B, 2009, 18 (05) : 1774 - 1779
  • [45] Synchronization of hyperchaotic Lorenz system based on passive control
    Wang Fa-Qiang
    Liu Chong-Xin
    CHINESE PHYSICS, 2006, 15 (09): : 1971 - 1975
  • [46] A new hyperchaotic system and its linear feedback control
    蔡国梁
    郑松
    田立新
    Chinese Physics B, 2008, 17 (11) : 4039 - 4046
  • [47] Fuzzy modelling and impulsive control of the hyperchaotic Lu system
    Zhang Xiao-Hong
    Li Dong
    CHINESE PHYSICS B, 2009, 18 (05) : 1774 - 1779
  • [48] Chaos control for a 4D hyperchaotic system
    Xu Changjin
    Li Peiluan
    APPLIED MECHATRONICS AND ANDROID ROBOTICS, 2013, 418 : 84 - +
  • [49] Control of a novel fractional hyperchaotic system using a located control method
    Morell, Antonio
    Razminia, Abolhassan
    Trujillo, Juan J.
    OPTIMIZATION, 2014, 63 (08) : 1219 - 1233
  • [50] Analysis and control of a 4D hyperchaotic system with passive control
    Emiroglu, Selcuk
    Uyaroglu, Yilmaz
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (01): : 1087 - 1095