Robust filtering for Markovian jumping static neural networks with time-varying delays

Robust filtering for Markovian jumping static neural networks with time-varying delays

The problem of robust H ∞ filtering for Markovian jumping static neural networks with time-varying delays is considered in this paper. The effect of the activation function on the time delays is comprehensively considered. Based on Wirtinger inequality, a new inequality is quoted to solve the Lyapun...

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Main Authors: Aodong Zhao, Nan Zhang, Maolong Xi, Jun Sun, Meiyan Dong
Format: Article
Language:English
Published: SAGE Publishing 2020-06-01
Series:Journal of Algorithms & Computational Technology
Online Access:https://doi.org/10.1177/1748302620931340
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spelling doaj-53de876bd51b48a2bca60192800b14222020-11-25T03:30:59ZengSAGE PublishingJournal of Algorithms & Computational Technology1748-30262020-06-011410.1177/1748302620931340Robust filtering for Markovian jumping static neural networks with time-varying delaysAodong ZhaoNan ZhangMaolong XiJun SunMeiyan DongThe problem of robust H ∞ filtering for Markovian jumping static neural networks with time-varying delays is considered in this paper. The effect of the activation function on the time delays is comprehensively considered. Based on Wirtinger inequality, a new inequality is quoted to solve the Lyapunov functions with the double-integral terms. Then, a less conservative result on the robust H ∞ filtering is obtained, which guarantees the resulting error systems stochastically stable and satisfies a prescribed H ∞ performance index. The effectiveness of the developed results is finally demonstrated by numerical examples.https://doi.org/10.1177/1748302620931340
collection DOAJ
language English
format Article
sources DOAJ
author Aodong Zhao
Nan Zhang
Maolong Xi
Jun Sun
Meiyan Dong
spellingShingle Aodong Zhao
Nan Zhang
Maolong Xi
Jun Sun
Meiyan Dong
Robust filtering for Markovian jumping static neural networks with time-varying delays
Journal of Algorithms & Computational Technology
author_facet Aodong Zhao
Nan Zhang
Maolong Xi
Jun Sun
Meiyan Dong
author_sort Aodong Zhao
title Robust filtering for Markovian jumping static neural networks with time-varying delays
title_short Robust filtering for Markovian jumping static neural networks with time-varying delays
title_full Robust filtering for Markovian jumping static neural networks with time-varying delays
title_fullStr Robust filtering for Markovian jumping static neural networks with time-varying delays
title_full_unstemmed Robust filtering for Markovian jumping static neural networks with time-varying delays
title_sort robust filtering for markovian jumping static neural networks with time-varying delays
publisher SAGE Publishing
series Journal of Algorithms & Computational Technology
issn 1748-3026
publishDate 2020-06-01
description The problem of robust H ∞ filtering for Markovian jumping static neural networks with time-varying delays is considered in this paper. The effect of the activation function on the time delays is comprehensively considered. Based on Wirtinger inequality, a new inequality is quoted to solve the Lyapunov functions with the double-integral terms. Then, a less conservative result on the robust H ∞ filtering is obtained, which guarantees the resulting error systems stochastically stable and satisfies a prescribed H ∞ performance index. The effectiveness of the developed results is finally demonstrated by numerical examples.
url https://doi.org/10.1177/1748302620931340
work_keys_str_mv AT aodongzhao robustfilteringformarkovianjumpingstaticneuralnetworkswithtimevaryingdelays
AT nanzhang robustfilteringformarkovianjumpingstaticneuralnetworkswithtimevaryingdelays
AT maolongxi robustfilteringformarkovianjumpingstaticneuralnetworkswithtimevaryingdelays
AT junsun robustfilteringformarkovianjumpingstaticneuralnetworkswithtimevaryingdelays
AT meiyandong robustfilteringformarkovianjumpingstaticneuralnetworkswithtimevaryingdelays
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