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...

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Main Authors: Youmei Zhou, Yajuan Liu, Jianping Zhou, Zhen Wang
Format: Article
Language:English
Published: Vilnius University Press 2021-01-01
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.
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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