Chinese Quarterly Journal of Mathematics ›› 2016, Vol. 31 ›› Issue (3): 279-287.doi: 10.13371/j.cnki.chin.q.j.m.2016.03.006

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Periodic Solutions of a Cooperative System with State Feedback Control

  

  1. 1. College of Mathematics and Information Science,Xinyang Normal University2. Research Institute of Forest Resource Information Techniques,Chinese Academy of Forestry
  • Received:2016-02-10 Online:2016-09-30 Published:2020-11-05
  • About author:HUANG Ming-zhan(1982-), female, native of Nanyang, Henan, a lecturer of Xinyang Normal University, Ph.D., engages in biomathematics; LIU Shou-zong(1984-), male, native of Puyang, Henan, a lecturer of Xinyang Normal University, M.S.D., engages in biomathematics; SONG Xin-yu(1961-), male, native of Xinyang, Henan, a professor of Xinyang Normal University, Ph.D., engages in biomathematics.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11671346,11501489,11371306,11301453); Supported by the Department of Education of Henan Province(14B110034); Supported by the Nanhu Scholars Program of XYNU,Foundation and Frontier Project of Henan(152300410019); Supported by the Youth Teacher Foundation of XYNU(2016GGJJ-14);

Abstract: In this paper,we propose a semi-continuous dynamical system to study the cooperative system with feedback control.Based on geometrical analysis and the analogue of Poincaré criterion,the existence and stability of the positive order one periodic solutions are given.Numerical results are carried out to illustrate the feasibility of our main results. 

Key words: cooperative system, feedback control, order one periodic solution, orbitally asymptotically stable

CLC Number: