记笔记

Turing Instability and Hopf Bifurcation Analysis for A Hybrid Control Biological System with One-Dimensional Diffusion

LU Yunxiang¹XIAO Min¹CHEN Jin¹HE Jiajin¹LU Yuanxin²

1. College of Automation and Artificial Intelligence,Nanjing University of Posts and Telecommunications 2. College of Telecommunication and Information Engineering,Nanjing University of Posts and Telecommunications

摘要：The optimal control of the dynamical behavior of reaction-diffusion systems has been rarely studied.In this paper,we put forward a novel one-dimensional reaction-diffusion marine planktonic biological system depicted by partial differential equations,and propose a class of hybrid control optimization algorithms for this system.In the analysis,the local stability of the system is determined firstly.Then,the condition of appearances of Turing patterns induced by diffusion and the criterion of Hopf bifurcation induced by time delay are obtained,respectively.Next,select the appropriate controller parameters to optimize the dynamic behavior of the system.Finally,several numerical simulations are utilized to verify the correctness of the theoretical results.

关键词：

Hybrid control algorithm; Marine planktonic biological system; Turing patterns; Hopf bifurcation;

基金：

supported in part by the National Natural Science Foundation of China under Grant 62073172； in part by the Postgraduate Research and Practice Innovation Program of Jiangsu Province under Grant SJCX20＿0251；

会议名称：

第41届中国控制会议

会议时间：

2022-07-25

会议地点：

中国安徽合肥