Stochastic Dynamics of Discrete-Time Fuzzy Random BAM Neural Networks with Time Delays
By using the semidiscrete method of differential equations, a new version of discrete analogue of stochastic fuzzy BAM neural networks was formulated, which gives a more accurate characterization for continuous-time stochastic neural networks than that by the Euler scheme. Firstly, the existence of...
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2019/9416234 |
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doaj-c261568ae1aa488ba534c3bf6d6ac94d2020-11-25T02:47:35ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472019-01-01201910.1155/2019/94162349416234Stochastic Dynamics of Discrete-Time Fuzzy Random BAM Neural Networks with Time DelaysSufang Han0Tianwei Zhang1Guoxin Liu2School of Mathematics and Statistics, Central South University, Changsha 410075, ChinaCity College, Kunming University of Science and Technology, Kunming 650051, ChinaSchool of Mathematics and Statistics, Central South University, Changsha 410075, ChinaBy using the semidiscrete method of differential equations, a new version of discrete analogue of stochastic fuzzy BAM neural networks was formulated, which gives a more accurate characterization for continuous-time stochastic neural networks than that by the Euler scheme. Firstly, the existence of the 2p-th mean almost periodic sequence solution of the discrete-time stochastic fuzzy BAM neural networks is investigated with the help of Minkowski inequality, Hölder inequality, and Krasnoselskii’s fixed point theorem. Secondly, the 2p-th moment global exponential stability of the discrete-time stochastic fuzzy BAM neural networks is also studied by using some analytical skills in stochastic theory. Finally, two examples with computer simulations are given to demonstrate that our results are feasible. The main results obtained in this paper are completely new, and the methods used in this paper provide a possible technique to study 2p-th mean almost periodic sequence solution and 2p-th moment global exponential stability of semidiscrete stochastic fuzzy models.http://dx.doi.org/10.1155/2019/9416234 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Sufang Han Tianwei Zhang Guoxin Liu |
spellingShingle |
Sufang Han Tianwei Zhang Guoxin Liu Stochastic Dynamics of Discrete-Time Fuzzy Random BAM Neural Networks with Time Delays Mathematical Problems in Engineering |
author_facet |
Sufang Han Tianwei Zhang Guoxin Liu |
author_sort |
Sufang Han |
title |
Stochastic Dynamics of Discrete-Time Fuzzy Random BAM Neural Networks with Time Delays |
title_short |
Stochastic Dynamics of Discrete-Time Fuzzy Random BAM Neural Networks with Time Delays |
title_full |
Stochastic Dynamics of Discrete-Time Fuzzy Random BAM Neural Networks with Time Delays |
title_fullStr |
Stochastic Dynamics of Discrete-Time Fuzzy Random BAM Neural Networks with Time Delays |
title_full_unstemmed |
Stochastic Dynamics of Discrete-Time Fuzzy Random BAM Neural Networks with Time Delays |
title_sort |
stochastic dynamics of discrete-time fuzzy random bam neural networks with time delays |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2019-01-01 |
description |
By using the semidiscrete method of differential equations, a new version of discrete analogue of stochastic fuzzy BAM neural networks was formulated, which gives a more accurate characterization for continuous-time stochastic neural networks than that by the Euler scheme. Firstly, the existence of the 2p-th mean almost periodic sequence solution of the discrete-time stochastic fuzzy BAM neural networks is investigated with the help of Minkowski inequality, Hölder inequality, and Krasnoselskii’s fixed point theorem. Secondly, the 2p-th moment global exponential stability of the discrete-time stochastic fuzzy BAM neural networks is also studied by using some analytical skills in stochastic theory. Finally, two examples with computer simulations are given to demonstrate that our results are feasible. The main results obtained in this paper are completely new, and the methods used in this paper provide a possible technique to study 2p-th mean almost periodic sequence solution and 2p-th moment global exponential stability of semidiscrete stochastic fuzzy models. |
url |
http://dx.doi.org/10.1155/2019/9416234 |
work_keys_str_mv |
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