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Mean almost periodicity and moment exponential stability of semi-discrete random cellular neural networks with fuzzy operations

By using the semi-discretization technique of differential equations, the discrete analogue of a kind of cellular neural networks with stochastic perturbations and fuzzy operations is formulated, which gives a more accurate characterization for continuous-time models than that by Euler scheme. First...

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Detalles Bibliográficos
Autores principales: Han, Sufang, Liu, Guoxin, Zhang, Tianwei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6685627/
https://www.ncbi.nlm.nih.gov/pubmed/31390372
http://dx.doi.org/10.1371/journal.pone.0220861
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author Han, Sufang
Liu, Guoxin
Zhang, Tianwei
author_facet Han, Sufang
Liu, Guoxin
Zhang, Tianwei
author_sort Han, Sufang
collection PubMed
description By using the semi-discretization technique of differential equations, the discrete analogue of a kind of cellular neural networks with stochastic perturbations and fuzzy operations is formulated, which gives a more accurate characterization for continuous-time models than that by Euler scheme. Firstly, the existence of at least one p-th mean almost periodic sequence solution of the semi-discrete stochastic models with almost periodic coefficients is investigated by using Minkowski inequality, Hölder inequality and Krasnoselskii’s fixed point theorem. Secondly, the p-th moment global exponential stability of the semi-discrete stochastic models is also studied by using some analytical skills and the proof of contradiction. Finally, a problem of stochastic stabilization for discrete cellular neural networks is studied.
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spelling pubmed-66856272019-08-15 Mean almost periodicity and moment exponential stability of semi-discrete random cellular neural networks with fuzzy operations Han, Sufang Liu, Guoxin Zhang, Tianwei PLoS One Research Article By using the semi-discretization technique of differential equations, the discrete analogue of a kind of cellular neural networks with stochastic perturbations and fuzzy operations is formulated, which gives a more accurate characterization for continuous-time models than that by Euler scheme. Firstly, the existence of at least one p-th mean almost periodic sequence solution of the semi-discrete stochastic models with almost periodic coefficients is investigated by using Minkowski inequality, Hölder inequality and Krasnoselskii’s fixed point theorem. Secondly, the p-th moment global exponential stability of the semi-discrete stochastic models is also studied by using some analytical skills and the proof of contradiction. Finally, a problem of stochastic stabilization for discrete cellular neural networks is studied. Public Library of Science 2019-08-07 /pmc/articles/PMC6685627/ /pubmed/31390372 http://dx.doi.org/10.1371/journal.pone.0220861 Text en © 2019 Han et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Han, Sufang
Liu, Guoxin
Zhang, Tianwei
Mean almost periodicity and moment exponential stability of semi-discrete random cellular neural networks with fuzzy operations
title Mean almost periodicity and moment exponential stability of semi-discrete random cellular neural networks with fuzzy operations
title_full Mean almost periodicity and moment exponential stability of semi-discrete random cellular neural networks with fuzzy operations
title_fullStr Mean almost periodicity and moment exponential stability of semi-discrete random cellular neural networks with fuzzy operations
title_full_unstemmed Mean almost periodicity and moment exponential stability of semi-discrete random cellular neural networks with fuzzy operations
title_short Mean almost periodicity and moment exponential stability of semi-discrete random cellular neural networks with fuzzy operations
title_sort mean almost periodicity and moment exponential stability of semi-discrete random cellular neural networks with fuzzy operations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6685627/
https://www.ncbi.nlm.nih.gov/pubmed/31390372
http://dx.doi.org/10.1371/journal.pone.0220861
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