Finite-time and fixed-time synchronization analysis of shunting inhibitory 
memristive neural networks with time-varying delays

Kashkynbayev, Ardak; Issakhanov, Alfarabi; Otkel, Madina; Kurths, Jürgen

doi:10.1016/j.chaos.2022.111866

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Finite-time and fixed-time synchronization analysis of shunting inhibitory memristive neural networks with time-varying delays

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Kashkynbayev, Ardak
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Issakhanov, Alfarabi
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Otkel, Madina
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Kurths, Jürgen
Potsdam Institute for Climate Impact Research;

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Kashkynbayev, A., Issakhanov, A., Otkel, M., Kurths, J. (2022): Finite-time and fixed-time synchronization analysis of shunting inhibitory memristive neural networks with time-varying delays. - Chaos, Solitons and Fractals, 156, 111866.
https://doi.org/10.1016/j.chaos.2022.111866

Cite as: https://publications.pik-potsdam.de/pubman/item/item_27029

Abstract

In the present paper, we investigate both the finite-time and fixed-time synchronization of retarded shunting inhibitory cellular neural networks. By constructing suitable Lyapunov functions and feedback control schemes we derive several sufficient conditions to guarantee finite-time and fixed-time synchronization of such networks. Finally, to illustrate the effectiveness of our theoretical results we consider examples with numerical simulations.