Event-triggered H∞ filtering for discrete-time Markov jump delayed neural networks with quantizations

The problem of event-triggered $ H_\infty $ filtering for discrete-time Markov jump delayed neural networks with quantizations is investigated in this paper. Firstly, an event-triggered communication scheme is proposed to determine whether or not the current sampled data can be transmitted to the qu...

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Main Authors: Tingting Zhang, Jinfeng Gao, Jiahao Li
Format: Article
Language:English
Published: Taylor & Francis Group 2018-09-01
Series:Systems Science & Control Engineering
Subjects:
Online Access:http://dx.doi.org/10.1080/21642583.2018.1531360
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author Tingting Zhang
Jinfeng Gao
Jiahao Li
author_facet Tingting Zhang
Jinfeng Gao
Jiahao Li
author_sort Tingting Zhang
collection DOAJ
description The problem of event-triggered $ H_\infty $ filtering for discrete-time Markov jump delayed neural networks with quantizations is investigated in this paper. Firstly, an event-triggered communication scheme is proposed to determine whether or not the current sampled data can be transmitted to the quantizer. Secondly, a quantizer is used to quantify the sampled data, which can reduce the data transmission rate in the network. Next, through the analysis of network-induced delay's intervals, the discrete-time neural network, the event-triggered scheme and network-induced delay are unified into a discrete-time Markov jump delayed neural network. As a result, the sufficient conditions are obtained to guarantee the stability and $ H_\infty $ performance of the augmented system and to present the $ H_\infty $ filter design. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.
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spelling doaj.art-8d3958cf8a1a441588424b6fca737eed2022-12-21T18:21:37ZengTaylor & Francis GroupSystems Science & Control Engineering2164-25832018-09-0163748410.1080/21642583.2018.15313601531360Event-triggered H∞ filtering for discrete-time Markov jump delayed neural networks with quantizationsTingting Zhang0Jinfeng Gao1Jiahao Li2Zhejiang Sci-Tech UniversityZhejiang Sci-Tech UniversityZhejiang Sci-Tech UniversityThe problem of event-triggered $ H_\infty $ filtering for discrete-time Markov jump delayed neural networks with quantizations is investigated in this paper. Firstly, an event-triggered communication scheme is proposed to determine whether or not the current sampled data can be transmitted to the quantizer. Secondly, a quantizer is used to quantify the sampled data, which can reduce the data transmission rate in the network. Next, through the analysis of network-induced delay's intervals, the discrete-time neural network, the event-triggered scheme and network-induced delay are unified into a discrete-time Markov jump delayed neural network. As a result, the sufficient conditions are obtained to guarantee the stability and $ H_\infty $ performance of the augmented system and to present the $ H_\infty $ filter design. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.http://dx.doi.org/10.1080/21642583.2018.1531360Event-triggered schemeMarkov jump neural networksquantization $ H_\infty $ filtering
spellingShingle Tingting Zhang
Jinfeng Gao
Jiahao Li
Event-triggered H∞ filtering for discrete-time Markov jump delayed neural networks with quantizations
Systems Science & Control Engineering
Event-triggered scheme
Markov jump neural networks
quantization
$ H_\infty $ filtering
title Event-triggered H∞ filtering for discrete-time Markov jump delayed neural networks with quantizations
title_full Event-triggered H∞ filtering for discrete-time Markov jump delayed neural networks with quantizations
title_fullStr Event-triggered H∞ filtering for discrete-time Markov jump delayed neural networks with quantizations
title_full_unstemmed Event-triggered H∞ filtering for discrete-time Markov jump delayed neural networks with quantizations
title_short Event-triggered H∞ filtering for discrete-time Markov jump delayed neural networks with quantizations
title_sort event triggered h∞ filtering for discrete time markov jump delayed neural networks with quantizations
topic Event-triggered scheme
Markov jump neural networks
quantization
$ H_\infty $ filtering
url http://dx.doi.org/10.1080/21642583.2018.1531360
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AT jinfenggao eventtriggeredhfilteringfordiscretetimemarkovjumpdelayedneuralnetworkswithquantizations
AT jiahaoli eventtriggeredhfilteringfordiscretetimemarkovjumpdelayedneuralnetworkswithquantizations