Feedback Linearization Control of a Class of Discrete Chaotic Predator-Prey System

被引:0
|
作者
Fu Jing-chao [1 ]
Liu Chun-li [1 ]
Zhang Zhong-hua [1 ]
机构
[1] Northeastern Dianli Univ, Coll Sci, * 132012, Jilin, Peoples R China
来源
2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6 | 2011年
关键词
Discrete predator-prey model; Chaos; Lyapunov exponent; Feedback linearization method;
D O I
暂无
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 allusion to complex dynamic behaviors such as bifurcation and chaos in a discrete predator-prey model, presence of chaos is validated by computing Lyapunov exponent measure method and giving the bifurcation portrait with parameter in the system. By applying the feedback linearization method to control the chaos to unstable fixed points, chaos trajectory in the system is controlled in the anticipant trajectory and chaos phenomenon is eliminated. The correctness and feasibility of the theory is - validated by simulation.
引用
收藏
页码:4216 / 4221
页数:6
相关论文
共 50 条
  • [1] Chaotic dynamics of a discrete predator-prey system with prey refuge
    Jana, Debaldev
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 224 : 848 - 865
  • [2] Predator-prey system with feedback control
    Rusakov, S. V.
    IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA, 2012, (01): : 116 - 116
  • [3] Chaotic Dynamics and Control of Discrete Ratio-Dependent Predator-Prey System
    Rana, Sarker Md. Sohel
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2017, 2017
  • [4] Bifurcation and chaotic behavior of a discrete-time predator-prey system
    He, Zhimin
    Lai, Xin
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (01) : 403 - 417
  • [5] Complex Dynamics and Periodic Feedback Control in a Discrete-time Predator-prey System
    Li, Ning
    Zhang, Qingling
    Sun, Haiyi
    2009 INTERNATIONAL WORKSHOP ON CHAOS-FRACTALS THEORIES AND APPLICATIONS (IWCFTA 2009), 2009, : 88 - +
  • [6] Dynamics of a Discrete Predator-Prey System
    Fang, Qibin
    Li, Xiaoping
    Cao, Meiyu
    INTERNATIONAL CONFERENCE ON MODELLING OPTIMIZATION AND COMPUTING, 2012, 38 : 1793 - 1800
  • [7] A class of discrete predator-prey interaction with bifurcation analysis and chaos control
    Din, Qamar
    Saleem, Nafeesa
    Shabbir, Muhammad Sajjad
    MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2020, 15
  • [8] Chaotic behaviour of a predator-prey system in the chemostat
    Kooi, BW
    Boer, MP
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2003, 10 (1-3): : 259 - 272
  • [9] DYNAMICS IN A DISCRETE PREDATOR-PREY SYSTEM WITH INFECTED PREY
    Xu, Changjin
    Li, Peiluan
    MATHEMATICA BOHEMICA, 2014, 139 (03): : 511 - 534
  • [10] Predator-prey interaction system with mutually interfering predator: role of feedback control
    Tiwari, Vandana
    Tripathi, Jai Prakash
    Upadhyay, Ranjit Kumar
    Wu, Yong-Ping
    Wang, Jin-Shan
    Sun, Gui-Quan
    APPLIED MATHEMATICAL MODELLING, 2020, 87 : 222 - 244