具有状态反馈控制的合作系统的周期解

黄明湛, 刘守宗, 宋新宇

doi:10.13371/j.cnki.chin.q.j.m.2016.03.006

数学季刊 >

2016 , Vol. 31 >Issue 3: 279 - 287

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.03.006

具有状态反馈控制的合作系统的周期解

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1. College of Mathematics and Information Science,Xinyang Normal University2. Research Institute of Forest Resource Information Techniques,Chinese Academy of Forestry

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.

收稿日期: 2016-02-10

网络出版日期: 2020-11-05

基金资助

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)；

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Periodic Solutions of a Cooperative System with State Feedback Control

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1. College of Mathematics and Information Science,Xinyang Normal University2. Research Institute of Forest Resource Information Techniques,Chinese Academy of Forestry

Received date: 2016-02-10

Online published: 2020-11-05

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摘要

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.

关键词： cooperative system; feedback control; order one periodic solution; orbitally asymptotically stable

本文引用格式

黄明湛, 刘守宗, 宋新宇 . 具有状态反馈控制的合作系统的周期解[J]. 数学季刊, 2016 , 31(3) : 279 -287 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.03.006

Abstract

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

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