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Global Stability of Bidirectional Associative Memory Neural Networks With Multiple Time-Varying Delays.

作者信息

Sheng Yin, Zeng Zhigang, Huang Tingwen

出版信息

IEEE Trans Cybern. 2022 Jun;52(6):4095-4104. doi: 10.1109/TCYB.2020.3011581. Epub 2022 Jun 16.

DOI:10.1109/TCYB.2020.3011581
PMID:32784149
Abstract

This article investigates the global stability of bidirectional associative memory neural networks with discrete and distributed time-varying delays (DBAMNNs). By employing the comparison strategy and inequality techniques, global asymptotic stability (GAS) and global exponential stability (GES) of the underlying DBAMNNs are of concern in terms of p -norm ( p ≥ 2 ). Meanwhile, GES of the addressed DBAMNNs is also analyzed in terms of 1-norm. When distributed time delay is neglected, the GES of the corresponding bidirectional associative memory neural networks is presented as an M -matrix, which includes certain existing outcomes as special cases. Two examples are finally provided to substantiate the validity of theories.

摘要

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