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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
External Organizations;

Issakhanov,  Alfarabi
External Organizations;

Otkel,  Madina
External Organizations;

/persons/resource/Juergen.Kurths

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


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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.