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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2019
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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. |
format | Online Article Text |
id | pubmed-6685627 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
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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