Fixed-time synchronization of nonlinear coupled memristive neural networks with time delays via sliding-mode control

Xingting Geng; Jianwen Feng; Yi Zhao; Na Li; Jingyi Wang; Xingting Geng; Jianwen Feng; Yi Zhao; Na Li; Jingyi Wang

doi:10.3934/era.2023166

Electronic Research Archive

2023, Volume 31, Issue 6: 3291-3308. doi: 10.3934/era.2023166

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Fixed-time synchronization of nonlinear coupled memristive neural networks with time delays via sliding-mode control

1.
College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, PR China
2.
College of Mathematics and Statistics, Henan University, Kaifeng 475004, PR China

Academic Editor: Fang Li

Received: 13 September 2022 Revised: 17 November 2022 Accepted: 22 November 2022 Published: 07 April 2023

This article focuses on achieving fixed-time synchronization (FxTS) of nonlinear coupled memristive neural networks (NCMMN) with time delays. We propose a novel integrable sliding-mode manifold (SMM) and develop two control strategies (chattering or non-chattering) to achieve FxTS. By selecting appropriate parameters, some criteria are established to force the dynamics of NCMMN to reach the designed SMM within a fixed time and remain on it thereafter. Additionally, they provide estimations for the settling time (TST). the validity of our results is demonstrated through several numerical examples.
- coupled memristive neural networks,
- nonlinear coupling,
- fixed-time synchronization,
- sliding-mode control
Citation: Xingting Geng, Jianwen Feng, Yi Zhao, Na Li, Jingyi Wang. Fixed-time synchronization of nonlinear coupled memristive neural networks with time delays via sliding-mode control[J]. Electronic Research Archive, 2023, 31(6): 3291-3308. doi: 10.3934/era.2023166

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Abstract

This article focuses on achieving fixed-time synchronization (FxTS) of nonlinear coupled memristive neural networks (NCMMN) with time delays. We propose a novel integrable sliding-mode manifold (SMM) and develop two control strategies (chattering or non-chattering) to achieve FxTS. By selecting appropriate parameters, some criteria are established to force the dynamics of NCMMN to reach the designed SMM within a fixed time and remain on it thereafter. Additionally, they provide estimations for the settling time (TST). the validity of our results is demonstrated through several numerical examples.

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