New results on finite-/fixed-time synchronization of delayed memristive neural networks with diffusion effects

Yinjie Qian; Lian Duan; Hui Wei; Yinjie Qian; Lian Duan; Hui Wei

doi:10.3934/math.2022931

AIMS Mathematics

2022, Volume 7, Issue 9: 16962-16974. doi: 10.3934/math.2022931

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Research article

New results on finite-/fixed-time synchronization of delayed memristive neural networks with diffusion effects

School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, China

Received: 07 February 2022 Revised: 24 June 2022 Accepted: 03 July 2022 Published: 19 July 2022
MSC : 34K39, 93D05

In this paper, we further investigate the finite-/fixed-time synchronization (FFTS) problem for a class of delayed memristive reaction-diffusion neural networks (MRDNNs). By utilizing the state-feedback control techniques, and constructing a general Lyapunov functional, with the help of inequality techniques and the finite-time stability theory, novel criteria are established to realize the FFTS of the considered delayed MRDNNs, which generalize and complement previously known results. Finally, a numerical example is provided to support the obtained theoretical results.
- memristive neural network,
- finite-/fixed-time synchronization,
- diffusion effect
Citation: Yinjie Qian, Lian Duan, Hui Wei. New results on finite-/fixed-time synchronization of delayed memristive neural networks with diffusion effects[J]. AIMS Mathematics, 2022, 7(9): 16962-16974. doi: 10.3934/math.2022931

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Abstract

In this paper, we further investigate the finite-/fixed-time synchronization (FFTS) problem for a class of delayed memristive reaction-diffusion neural networks (MRDNNs). By utilizing the state-feedback control techniques, and constructing a general Lyapunov functional, with the help of inequality techniques and the finite-time stability theory, novel criteria are established to realize the FFTS of the considered delayed MRDNNs, which generalize and complement previously known results. Finally, a numerical example is provided to support the obtained theoretical results.

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