Global Mittag–Leffler stabilization of fractional-order complex-valued memristive neural networks

Wenting Chang, Song Zhu, Jinyu Li and Kaili Sun

Applied Mathematics and Computation, 2018, vol. 338, issue C, 346-362

Abstract: This paper presents the theoretical results about global Mittag–Leffler stabilization for a class of fractional-order complex-valued memristive neural networks with the designed two types of control rules. As the extension of fractional-order real-valued memristive neural networks, fractional-order complex-valued memristive neural networks have complex-valued states, synaptic weights, and the activation functions. By utilizing the set-valued maps, a generalized fractional derivative inequality as well as fractional-order differential inclusions, several stabilization criteria for global Mittag–Leffler stabilization of fractional-order complex-valued memristive neural networks are established. A numerical example is provided here to illustrate our theoretical results.

Keywords: Fractional-order; Complex-valued; Memristive neural networks; Global Mittag–Leffler stability (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:338:y:2018:i:c:p:346-362

DOI: 10.1016/j.amc.2018.06.041

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