H∞ state estimation for discrete memristive neural networks with signal quantization and probabilistic time delay

In this paper, the problem of $ H_{\infty } $ state estimation is discussed for a class of delayed discrete memristive neural networks with signal quantization. A random variable obeying the Bernoulli distribution is used to describe the probabilistic time delay. A switching function is introduced t...

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Autores principales: Le Feng, Liang Zhao, Liqun Ban
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Lenguaje:EN
Publicado: Taylor & Francis Group 2021
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Acceso en línea:https://doaj.org/article/174742da321944369f94f5a1489eb705
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spelling oai:doaj.org-article:174742da321944369f94f5a1489eb7052021-11-11T14:23:43ZH∞ state estimation for discrete memristive neural networks with signal quantization and probabilistic time delay2164-258310.1080/21642583.2021.1997670https://doaj.org/article/174742da321944369f94f5a1489eb7052021-01-01T00:00:00Zhttp://dx.doi.org/10.1080/21642583.2021.1997670https://doaj.org/toc/2164-2583In this paper, the problem of $ H_{\infty } $ state estimation is discussed for a class of delayed discrete memristive neural networks with signal quantization. A random variable obeying the Bernoulli distribution is used to describe the probabilistic time delay. A switching function is introduced to reflect the state dependence of memristive connection weight on neurons. Our aim is to design a state estimator to ensure that the specified disturbance attenuation level is guaranteed. By using Lyapunov stability theory and inequality scaling techniques, the specific explicit expression of gain parameter is given. Finally, a numerical example is given to verify the effectiveness of the proposed estimation method.Le FengLiang ZhaoLiqun BanTaylor & Francis Grouparticlememristive neural networks (mnns)probabilistic time delay (ptd)logarithmic quantization $ h_{\infty } $ state estimationControl engineering systems. Automatic machinery (General)TJ212-225Systems engineeringTA168ENSystems Science & Control Engineering, Vol 9, Iss 1, Pp 764-774 (2021)
institution DOAJ
collection DOAJ
language EN
topic memristive neural networks (mnns)
probabilistic time delay (ptd)
logarithmic quantization
$ h_{\infty } $ state estimation
Control engineering systems. Automatic machinery (General)
TJ212-225
Systems engineering
TA168
spellingShingle memristive neural networks (mnns)
probabilistic time delay (ptd)
logarithmic quantization
$ h_{\infty } $ state estimation
Control engineering systems. Automatic machinery (General)
TJ212-225
Systems engineering
TA168
Le Feng
Liang Zhao
Liqun Ban
H∞ state estimation for discrete memristive neural networks with signal quantization and probabilistic time delay
description In this paper, the problem of $ H_{\infty } $ state estimation is discussed for a class of delayed discrete memristive neural networks with signal quantization. A random variable obeying the Bernoulli distribution is used to describe the probabilistic time delay. A switching function is introduced to reflect the state dependence of memristive connection weight on neurons. Our aim is to design a state estimator to ensure that the specified disturbance attenuation level is guaranteed. By using Lyapunov stability theory and inequality scaling techniques, the specific explicit expression of gain parameter is given. Finally, a numerical example is given to verify the effectiveness of the proposed estimation method.
format article
author Le Feng
Liang Zhao
Liqun Ban
author_facet Le Feng
Liang Zhao
Liqun Ban
author_sort Le Feng
title H∞ state estimation for discrete memristive neural networks with signal quantization and probabilistic time delay
title_short H∞ state estimation for discrete memristive neural networks with signal quantization and probabilistic time delay
title_full H∞ state estimation for discrete memristive neural networks with signal quantization and probabilistic time delay
title_fullStr H∞ state estimation for discrete memristive neural networks with signal quantization and probabilistic time delay
title_full_unstemmed H∞ state estimation for discrete memristive neural networks with signal quantization and probabilistic time delay
title_sort h∞ state estimation for discrete memristive neural networks with signal quantization and probabilistic time delay
publisher Taylor & Francis Group
publishDate 2021
url https://doaj.org/article/174742da321944369f94f5a1489eb705
work_keys_str_mv AT lefeng hstateestimationfordiscretememristiveneuralnetworkswithsignalquantizationandprobabilistictimedelay
AT liangzhao hstateestimationfordiscretememristiveneuralnetworkswithsignalquantizationandprobabilistictimedelay
AT liqunban hstateestimationfordiscretememristiveneuralnetworkswithsignalquantizationandprobabilistictimedelay
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