H∞ Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain

This paper is concerned with the H∞ filtering problem for a class of discretetime genetic regulatory networks with random delay and external disturbance. The aim is to design H∞ filter to estimate the true concentrations of mRNAs and proteins based on available measurement data. By introducing an ap...

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Main Authors:	Yantao Wang, Xingming Zhou, Xian Zhang
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2014/257971

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record_format	Article
spelling	doaj-416af4bff9814a33929a2bcae2eb34c52020-11-24T21:57:25ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/257971257971H∞ Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian ChainYantao Wang0Xingming Zhou1Xian Zhang2School of Mathematical Science, Heilongjiang University, Harbin 150080, ChinaSchool of Mathematical Science, Heilongjiang University, Harbin 150080, ChinaSchool of Mathematical Science, Heilongjiang University, Harbin 150080, ChinaThis paper is concerned with the H∞ filtering problem for a class of discretetime genetic regulatory networks with random delay and external disturbance. The aim is to design H∞ filter to estimate the true concentrations of mRNAs and proteins based on available measurement data. By introducing an appropriate Lyapunov function, a sufficient condition is derived in terms of linear matrix inequalities (LMIs) which makes the filtering error system stochastically stable with a prescribed H∞ disturbance attenuation level. The filter gains are given by solving the LMIs. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed approach; that is, our approach is available for a smaller H∞ disturbance attenuation level than one in (Liu et al., 2012).http://dx.doi.org/10.1155/2014/257971
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yantao Wang Xingming Zhou Xian Zhang
spellingShingle	Yantao Wang Xingming Zhou Xian Zhang H∞ Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain Abstract and Applied Analysis
author_facet	Yantao Wang Xingming Zhou Xian Zhang
author_sort	Yantao Wang
title	H∞ Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain
title_short	H∞ Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain
title_full	H∞ Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain
title_fullStr	H∞ Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain
title_full_unstemmed	H∞ Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain
title_sort	h∞ filtering for discrete-time genetic regulatory networks with random delay described by a markovian chain
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2014-01-01
description	This paper is concerned with the H∞ filtering problem for a class of discretetime genetic regulatory networks with random delay and external disturbance. The aim is to design H∞ filter to estimate the true concentrations of mRNAs and proteins based on available measurement data. By introducing an appropriate Lyapunov function, a sufficient condition is derived in terms of linear matrix inequalities (LMIs) which makes the filtering error system stochastically stable with a prescribed H∞ disturbance attenuation level. The filter gains are given by solving the LMIs. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed approach; that is, our approach is available for a smaller H∞ disturbance attenuation level than one in (Liu et al., 2012).
url	http://dx.doi.org/10.1155/2014/257971
work_keys_str_mv	AT yantaowang hfilteringfordiscretetimegeneticregulatorynetworkswithrandomdelaydescribedbyamarkovianchain AT xingmingzhou hfilteringfordiscretetimegeneticregulatorynetworkswithrandomdelaydescribedbyamarkovianchain AT xianzhang hfilteringfordiscretetimegeneticregulatorynetworkswithrandomdelaydescribedbyamarkovianchain
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H∞ Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain

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