Boundary Sampled-Data Synchronization of Delayed Reaction-Diffusion Neural Networks

We study the synchronization of delayed reaction-diffusion neural networks (RDNNs) with Neumann boundary conditions, considering both distributed and discrete delays. Particularly, boundary sampled-data (SD) control is proposed to synchronize delayed RDNNs. In the proposed synchronization strategy, boundary SD control is based on boundary and distributed SD measurements. Based on the Lyapunov stability theory and inequality techniques, some synchronization criteria via the boundary SD control are proposed for delayed RDNNs. The boundary SD control gains are obtained by solving the conditions with linear matrix inequalities. Finally, a numerical example is presented to demonstrate the feasibility and effectiveness of the proposed method.

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Publication Details

Journal
IEEE Transactions on Cybernetics
Published
2025-09-03
DOI
https://doi.org/10.1109/tcyb.2025.3599201
Citations
2
Primary Topic
Neural Networks and Applications
Type
article
Field-Weighted Citation Impact
4.96

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article

Boundary Sampled-Data Synchronization of Delayed Reaction-Diffusion Neural Networks

Huai‐Ning Wu, Zipeng Wang, Tingwen Huang, Xiao‐Wei Zhang et al.
2 citations
IEEE Transactions on Cybernetics
Neural Networks and Applications
4.96
article

Boundary Sampled-Data Synchronization of Delayed Reaction-Diffusion Neural Networks

Huai‐Ning Wu, Zipeng Wang, Tingwen Huang, Xiao‐Wei Zhang, Hongyu Chen, Junfei Qiao
article en
2 citations

Abstract

We study the synchronization of delayed reaction-diffusion neural networks (RDNNs) with Neumann boundary conditions, considering both distributed and discrete delays. Particularly, boundary sampled-data (SD) control is proposed to synchronize delayed RDNNs. In the proposed synchronization strategy, boundary SD control is based on boundary and distributed SD measurements. Based on the Lyapunov stability theory and inequality techniques, some synchronization criteria via the boundary SD control are proposed for delayed RDNNs. The boundary SD control gains are obtained by solving the conditions with linear matrix inequalities. Finally, a numerical example is presented to demonstrate the feasibility and effectiveness of the proposed method.

IEEE Transactions on CyberneticsVol. 55(11)
Shenzhen University (CN), Beijing Academy of Artificial Intelligence (CN), Shenzhen Technology University (CN), Beihang University (CN)
National Natural Science Foundation of China, China Postdoctoral Science Foundation, Beijing Postdoctoral Science Foundation, National Key Research and Development Program of China
Openalex Percentile: Top 5%
Neural Networks and Applications
4.96
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Boundary Sampled-Data Synchronization of Delayed Reaction-Diffusion Neural Networks — Huai‐Ning Wu, Zipeng Wang, et al. · IEEE Transactions on Cybernetics (2025) | TGRS Research Map | TGRS