Quantized passive filtering for switched delayed neural networks
The issue of quantized passive filtering for switched delayed neural networks with noise interference is studied in this paper. Both arbitrary and semi-Markov switching rules are taken into account. By choosing Lyapunov functionals and applying several inequality techniques, sufficient conditions ar...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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Vilnius University Press
2021-01-01
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Series: | Nonlinear Analysis |
Subjects: | |
Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/20562 |
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author | Youmei Zhou Yajuan Liu Jianping Zhou Zhen Wang |
author_facet | Youmei Zhou Yajuan Liu Jianping Zhou Zhen Wang |
author_sort | Youmei Zhou |
collection | DOAJ |
description | The issue of quantized passive filtering for switched delayed neural networks with noise interference is studied in this paper. Both arbitrary and semi-Markov switching rules are taken into account. By choosing Lyapunov functionals and applying several inequality techniques, sufficient conditions are proposed to ensure the filter error system to be not only exponentially stable, but also exponentially passive from the noise interference to the output error. The gain matrix for the proposed quantized passive filter is able to be determined through the feasible solution of linear matrix inequalities, which are computationally tractable with the help of some popular convex optimization tools. Finally, two numerical examples are given to illustrate the usefulness of the quantized passive filter design methods. |
first_indexed | 2024-04-13T10:41:43Z |
format | Article |
id | doaj.art-b6f9e06863e741ad8503343800f66116 |
institution | Directory Open Access Journal |
issn | 1392-5113 2335-8963 |
language | English |
last_indexed | 2024-04-13T10:41:43Z |
publishDate | 2021-01-01 |
publisher | Vilnius University Press |
record_format | Article |
series | Nonlinear Analysis |
spelling | doaj.art-b6f9e06863e741ad8503343800f661162022-12-22T02:49:54ZengVilnius University PressNonlinear Analysis1392-51132335-89632021-01-0126110.15388/namc.2021.26.20562Quantized passive filtering for switched delayed neural networksYoumei Zhou0Yajuan Liu1Jianping Zhou2Zhen Wang3Anhui University of TechnologyNorth China Electric Power UniversityAnhui University of TechnologyShandong University of Science and TechnologyThe issue of quantized passive filtering for switched delayed neural networks with noise interference is studied in this paper. Both arbitrary and semi-Markov switching rules are taken into account. By choosing Lyapunov functionals and applying several inequality techniques, sufficient conditions are proposed to ensure the filter error system to be not only exponentially stable, but also exponentially passive from the noise interference to the output error. The gain matrix for the proposed quantized passive filter is able to be determined through the feasible solution of linear matrix inequalities, which are computationally tractable with the help of some popular convex optimization tools. Finally, two numerical examples are given to illustrate the usefulness of the quantized passive filter design methods.https://www.journals.vu.lt/nonlinear-analysis/article/view/20562quantizationpassive filterarbitrary switchingsemi-Markov switching |
spellingShingle | Youmei Zhou Yajuan Liu Jianping Zhou Zhen Wang Quantized passive filtering for switched delayed neural networks Nonlinear Analysis quantization passive filter arbitrary switching semi-Markov switching |
title | Quantized passive filtering for switched delayed neural networks |
title_full | Quantized passive filtering for switched delayed neural networks |
title_fullStr | Quantized passive filtering for switched delayed neural networks |
title_full_unstemmed | Quantized passive filtering for switched delayed neural networks |
title_short | Quantized passive filtering for switched delayed neural networks |
title_sort | quantized passive filtering for switched delayed neural networks |
topic | quantization passive filter arbitrary switching semi-Markov switching |
url | https://www.journals.vu.lt/nonlinear-analysis/article/view/20562 |
work_keys_str_mv | AT youmeizhou quantizedpassivefilteringforswitcheddelayedneuralnetworks AT yajuanliu quantizedpassivefilteringforswitcheddelayedneuralnetworks AT jianpingzhou quantizedpassivefilteringforswitcheddelayedneuralnetworks AT zhenwang quantizedpassivefilteringforswitcheddelayedneuralnetworks |