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Finite-time and fixed-time synchronization for a class of memristor-based competitive neural networks with different time scales

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Zhao,  Yong
External Organizations;

Ren,  Shanshan
External Organizations;

/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

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Zhao, Y., Ren, S., Kurths, J. (2021): Finite-time and fixed-time synchronization for a class of memristor-based competitive neural networks with different time scales. - Chaos, Solitons and Fractals, 148, 111033.
https://doi.org/10.1016/j.chaos.2021.111033


???ViewItemOverview_lblCiteAs???: https://publications.pik-potsdam.de/pubman/item/item_26425
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In this paper, finite-time and fixed-time synchronization are considered for a class of memristor-based competitive neural networks(MCNNs) with different time scales. Based on the theory of differential equations with discontinuous right-hand sides, several new sufficient conditions ensuring the finite-time and fixed-time synchronization of MCNNs are obtained by designing proper controllers. Moreover, the settling time is estimated. Finally, a numerical example is given to show the effectiveness and feasibility of our results.