Comparative study on bifurcation control methods in a fractional-order delayed predator-prey system

作     者：HUANG ChengDai CAO JinDe 

作者机构：School of Mathematics and Statistics Xinyang Nomal University School of Mathematics and Research Center for Complex Systems and Network Sciences Southeast University School of Mathematics and Statistics Shandong Normal University 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2019年第62卷第2期

页      面：298-307页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070104[理学-应用数学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：supported by the Nanhu Scholars Program for Young Scholars of XYNU 

主　　题：fractional-order time delay state feedback bifurcation control predator-prey system 

摘      要：This paper focuses on the comparative analysis of bifurcation control approaches for a fractional-order delayed predator-prey system. The state feedback schemes with and without time delay are dexterously designed during the bifurcation control for the proposed system, and the comparative study is elaborately performed on bifurcation control theoretically. The salient feature of the current paper is that the analysis of time of bifurcation control for the proposed system is investigated based on various state feedback control strategies. Analysis reveals that the feedback control approach without time delay overly outmatches the one with time delay for bifurcation control in the considered systems so long as the uniform feedback gain is selected. It consumes less time to control bifurcation while utilizing the first controller in comparison with the second one. Numerical examples are ultimately employed to confirm the correctness of the theoretical results.