Quasi-synchronization of Caputo-Hadamard fractional-order memristive neural networks with time-varying delays.

Li, Haining; Li, Hong-Li; Huang, Tingwen; Liu, Xinzhi; Cao, Jinde · Neural Netw · 2025

basic_science · Level V

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Abstract

In this paper, quasi-synchronization issue of Caputo-Hadamard fractional memristive neural networks with time-varying delays is investigated. Firstly, on the basis of the definitions and properties of Caputo-Hadamard fractional-order derivative and Mittag-Leffler function, a novel inequality is established, which serves to explore synchronization issues for Caputo-Hadamard fractional-order dynamical networks. Then, under a discontinuous control strategy, quasi-synchronization criteria are obtained by using our constructed inequality and some analytical techniques. Eventually, the effectiveness of the developed theoretical result is validated through a numerical example.

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