Adaptive Intermittent Control for Output Synchronization of Reaction–Diffusion Neural Networks

In this article, the exponential output synchronization of multi-weight output-coupled reaction–diffusion neural networks with spatial diffusion is investigated. First, both the multi-weight output coupling and the output spatial diffusion coupling are considered in the system model. Then, a controller with sampling in space and adaptive intermittency in time is designed to achieve exponential stability of the error system. By using Lyapunov stability analysis method and inequality technique, the criterion to ensure that the system achieves output synchronization is obtained. Finally, a numerical example is given to verify the effectiveness of the obtained results.

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Publication Details

Published
2025-07-04
DOI
https://doi.org/10.1109/fasta65681.2025.11138616
Primary Topic
Neural Networks Stability and Synchronization
Type
article
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article

Adaptive Intermittent Control for Output Synchronization of Reaction–Diffusion Neural Networks

Xiaona Song, Kaiwen Wang, Xubo Wang, Danjing Zheng
Neural Networks Stability and Synchronization
article

Adaptive Intermittent Control for Output Synchronization of Reaction–Diffusion Neural Networks

Xiaona Song, Kaiwen Wang, Xubo Wang, Danjing Zheng
article en

Abstract

In this article, the exponential output synchronization of multi-weight output-coupled reaction–diffusion neural networks with spatial diffusion is investigated. First, both the multi-weight output coupling and the output spatial diffusion coupling are considered in the system model. Then, a controller with sampling in space and adaptive intermittency in time is designed to achieve exponential stability of the error system. By using Lyapunov stability analysis method and inequality technique, the criterion to ensure that the system achieves output synchronization is obtained. Finally, a numerical example is given to verify the effectiveness of the obtained results.

Henan University of Science and Technology (CN)
Openalex Percentile: Top 72%
Neural Networks Stability and Synchronization
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