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不连续激活函数的时滞神经网络的多稳定性

陈晓丰 宋乾坤

应用数学和力学2013,Vol.34Issue(4):383-398,16.
应用数学和力学2013,Vol.34Issue(4):383-398,16.DOI:10.3879/j.issn.1000-0887.2013.04.007

不连续激活函数的时滞神经网络的多稳定性

Multistability of Delayed Neural Networks With Discontinuous Activations

陈晓丰 1宋乾坤1

作者信息

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摘要

Abstract

The problem on the multistability was investigated for delayed neural networks with discontinuous activations. For the neural networks being studied, the traditional assumptions on the continuity and the monotonicity of the activation functions were not required. Several sufficient conditions for checking the coexistence and local exponential stability of equilibria for the considered neural networks were given. Finally, two numerical examples were given to show the effectiveness and less conservatism of the proposed criteria.

关键词

神经网络/不连续激活函数/多重稳定/指数稳定

Key words

neural network/ discontinuous neuron activation/ multistability/ exponential stability

分类

数理科学

引用本文复制引用

陈晓丰,宋乾坤..不连续激活函数的时滞神经网络的多稳定性[J].应用数学和力学,2013,34(4):383-398,16.

基金项目

国家自然科学基金资助项目(61273021) (61273021)

应用数学和力学

OA北大核心CSCDCSTPCD

1000-0887

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