Bifurcation Control in a Delayed Two-neuron Fractional Network

被引：9

作者：

Zhao, Lingzhi ^{[1
,2
,3
]}

Cao, Jinde ^{[1
,2
,4
]}

Huang, Chengdai ^{[1
,2
]}

Alsaedi, Ahmed ^{[4
]}

Al-Barakati, Abdullah ^{[5
]}

Fardoun, Habib M. ^{[5
]}

机构：

[1] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China

[2] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

[3] Nanjing Xiaozhuang Univ, Sch Informat Engn, Nanjing 211171, Jiangsu, Peoples R China

[4] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math Res Grp, Jeddah 21589, Saudi Arabia

[5] King Abdulaziz Univ, Fac Comp & Informat Technol, Dept Informat Syst, Jeddah 21589, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2017年 / 15卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Bifurcation control; fractional network; Hopf bifurcation; stability; time delays; ORDER DIFFERENTIAL-EQUATIONS; HOPF-BIFURCATION; STABILITY ANALYSIS; PERIODIC-SOLUTION; NEURAL-NETWORKS; MODEL;

D O I：

10.1007/s12555-016-1271-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The issue of bifurcation control for a delayed fractional network involving two neurons is concerned. Delay-dependent stability conditions and the bifurcation point are established by discussing the associated characteristic equation of the proposed network. Then, a delayed feedback controller is firstly designed to stabilize the Hopf bifurcation, and desirable dynamics is achieved. It is indicated that the designed controller is extremely effective which can postpone the onset of bifurcation by carefully selecting the feedback gain. Finally, simulation results are given to verify the efficiency of the theoretical results.

引用

页码：1134 / 1144

页数：11

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