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Bifurcation Control in a Delayed Two-neuron Fractional Network

Lingzhi Zhao, Jinde Cao , Chengdai Huang, Ahmed Alsaedi, Abdullah Al-Barakati and Habib M. Fardoun
International Journal of Control, Automation, and Systems, vol. 15, no. 3, pp.1134-1144, 2017

Abstract : "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."

Keyword : Bifurcation control, fractional network, Hopf bifurcation, stability, time delays.

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