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
收藏
页码：1134 / 1144
页数：11
相关论文
共 40 条
  • [1] Hopf bifurcation and chaos in fractional-order modified hybrid optical system
    Abdelouahab, Mohammed-Salah
    Hamri, Nasr-Eddine
    Wang, Junwei
    [J]. NONLINEAR DYNAMICS, 2012, 69 (1-2) : 275 - 284
  • [2] On fractional order differential equations model for nonlocal epidemics
    Ahmed, E.
    Elgazzar, A. S.
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 379 (02) : 607 - 614
  • [3] On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rossler, Chua and Chen systems
    Ahmed, E.
    El-Sayed, A. M. A.
    El-Saka, Hala A. A.
    [J]. PHYSICS LETTERS A, 2006, 358 (01) : 1 - 4
  • [4] Deadbeat Dissipative FIR Filtering
    Ahn, Choon Ki
    Shi, Peng
    Basin, Michael V.
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2016, 63 (08) : 1210 - 1221
  • [5] Stochastic stability analysis for 2-D Roesser systems with multiplicative noise
    Ahn, Choon Ki
    Wu, Ligang
    Shi, Peng
    [J]. AUTOMATICA, 2016, 69 : 356 - 363
  • [6] Receding Horizon Stabilization and Disturbance Attenuation for Neural Networks With Time-Varying Delay
    Ahn, Choon Ki
    Shi, Peng
    Wu, Ligang
    [J]. IEEE TRANSACTIONS ON CYBERNETICS, 2015, 45 (12) : 2680 - 2692
  • [7] Two-Dimensional Dissipative Control and Filtering for Roesser Model
    Ahn, Choon Ki
    Shi, Peng
    Basin, Michael V.
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (07) : 1745 - 1759
  • [8] [Anonymous], PHYS REV E
  • [9] [Anonymous], 1999, FRACTIONAL DIFFERENT
  • [10] [Anonymous], 2001, Introduction to neural dynamics and signal transmission delay, volume 6 of de Gruyter Series in Nonlinear Analysis and Applications
1234