Extended feedback and simulation strategies for a delayed fractional-order control system

被引：4

作者：

Huang, Chengdai ^{[1
]}

Liu, Heng ^{[2
]}

Chen, Xiaoping ^{[3
]}

Cao, Jinde ^{[4
]}

Alsaedi, Ahmed ^{[5
]}

机构：

[1] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China

[2] Guangxi Univ Nationalities, Sch Sci, Nanning 530006, Peoples R China

[3] Taizhou Univ, Dept Math, Taizhou 225300, Peoples R China

[4] Southeast Univ, Sch Math, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Peoples R China

[5] King Abdulaziz Univ, Dept Math, NAAM Res Grp, Jeddah 21589, Saudi Arabia

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 545卷

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Extended delay feedback; Bifurcation control; Fractional-order; Predator-prey model; BIFURCATION-ANALYSIS; NEURAL-NETWORKS; STABILITY ANALYSIS; HOPF-BIFURCATION; TIME-DELAY; MODEL; SYNCHRONIZATION; DISCRETE; DISSIPATIVITY; DYNAMICS;

D O I：

10.1016/j.physa.2019.123127

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper showcases the bifurcation control of a delayed fractional predator-prey system via ingenious extended delayed feedback methodology. The gestation delay acts as a bifurcation parameter to decide the bifurcation point of the controlled system. Then it reflects that bifurcation occurs upon eliminating the devised controller. Besides, the impact of fractional orders, feedback gain and extended delay on the bifurcation point is exquisitely explored. It hints that bifurcation emergence can be efficaciously handicapped by modulating fractional order, feedback gain and extended feedback delay. The efficiency of the developed control scheme is neatly checked by simulations results. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：19

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