On the periodic dynamics of a class of time-varying delayed neural networks via differential inclusions
type: Item
instance of: scholarly article
title: On the periodic dynamics of a class of time-varying delayed neural networks via differential inclusions
zbMATH Open document ID: 1269.34076
author: Zuowei Cai
author: Zhenyuan Guo
author: Lihong Huang
author: Xiaoyan Chen
published in: Neural Networks
publication date: 2013-03-13T00:00:00Z
review text: The paper deals with a cellular neural network system described by a time-varying delayed differential equation with discontinuous right-hand side. The main goal consists in the fact that the neuron activation functions are allowed to be unbounded and non-monotonic. The authors give conditions for the existence of a periodic solution (in the sense of Fillipov), its uniqueness and global exponential stability. Finally, two numerical examples are presented. The approach used in this paper encompass differential inclusions, topological degree theory and the notion of Lyapunov functions.
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K09
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 6144296
zbMATH Keywords: discontinuous neuron activation
zbMATH Keywords: time-varying delayed neural network
zbMATH Keywords: periodic solution
zbMATH Keywords: global exponential stability
Wikidata QID: Q51364477
reviewed by: Giselle Antunes Monteiro
MaRDI profile type: Publication
full work available at URL: j.neunet.2012.04.009
OpenAlex ID: W2022042731
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DOI: 10.1016/J.NEUNET.2012.04.009
description: scientific article; zbMATH DE number 6144296