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...
Main Authors: | , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
SAGE Publishing
2020-06-01
|
Series: | Journal of Algorithms & Computational Technology |
Online Access: | https://doi.org/10.1177/1748302620931340 |
id |
doaj-53de876bd51b48a2bca60192800b1422 |
---|---|
record_format |
Article |
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 |
_version_ |
1724574460214771712 |