Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays

Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays

Abstract We study fuzzy stochastic bidirectional associative memory cellular neural networks with discrete delays in leakage terms and with continuous and infinitely distributed delays in the transmission terms. Under certain structural assumptions, we prove that the networks in question are mean-sq...

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Main Authors: Fosheng Wang, Chengqiang Wang
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Advances in Difference Equations
Subjects:
Fuzzy stochastic BAM
Mean-square stability
Hybrid delays
Online Access:http://link.springer.com/article/10.1186/s13662-018-1690-z
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spelling doaj-05d128c317ad41ef8c66699c98740c6d2020-11-25T02:20:17ZengSpringerOpenAdvances in Difference Equations1687-18472018-07-012018112610.1186/s13662-018-1690-zMean-square exponential stability of fuzzy stochastic BAM networks with hybrid delaysFosheng Wang0Chengqiang Wang1School of Mathematics and Physics, Mianyang Teachers’ CollegeSchool of Mathematics, Chengdu Normal UniversityAbstract We study fuzzy stochastic bidirectional associative memory cellular neural networks with discrete delays in leakage terms and with continuous and infinitely distributed delays in the transmission terms. Under certain structural assumptions, we prove that the networks in question are mean-square exponentially stable. Our main ingredient is the classical direct Lyapunov approach, in which we construct an elaborate Lyapunov–Krasovskii function. The arguments in the paper can be readily adapted to study stability problems for other cellular neural networks.http://link.springer.com/article/10.1186/s13662-018-1690-zFuzzy stochastic BAMMean-square stabilityHybrid delays
collection DOAJ
language English
format Article
sources DOAJ
author Fosheng Wang
Chengqiang Wang
spellingShingle Fosheng Wang
Chengqiang Wang
Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays
Advances in Difference Equations
Fuzzy stochastic BAM
Mean-square stability
Hybrid delays
author_facet Fosheng Wang
Chengqiang Wang
author_sort Fosheng Wang
title Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays
title_short Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays
title_full Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays
title_fullStr Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays
title_full_unstemmed Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays
title_sort mean-square exponential stability of fuzzy stochastic bam networks with hybrid delays
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2018-07-01
description Abstract We study fuzzy stochastic bidirectional associative memory cellular neural networks with discrete delays in leakage terms and with continuous and infinitely distributed delays in the transmission terms. Under certain structural assumptions, we prove that the networks in question are mean-square exponentially stable. Our main ingredient is the classical direct Lyapunov approach, in which we construct an elaborate Lyapunov–Krasovskii function. The arguments in the paper can be readily adapted to study stability problems for other cellular neural networks.
topic Fuzzy stochastic BAM
Mean-square stability
Hybrid delays
url http://link.springer.com/article/10.1186/s13662-018-1690-z
work_keys_str_mv AT foshengwang meansquareexponentialstabilityoffuzzystochasticbamnetworkswithhybriddelays
AT chengqiangwang meansquareexponentialstabilityoffuzzystochasticbamnetworkswithhybriddelays
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