\(H_\infty\) filtering for discrete-time genetic regulatory networks with random delay described by a Markovian chain
type: Item
instance of: scholarly article
title: \(H_\infty\) filtering for discrete-time genetic regulatory networks with random delay described by a Markovian chain
zbMATH Open document ID: 1406.92261
DOI: 10.1155/2014/257971
author: Yantao Wang
author: Xingming Zhou
author: Xian Zhang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper is concerned with the \(H_\infty\) filtering problem for a class of discretetime genetic regulatory networks with random delay and external disturbance. The aim is to design \(H_\infty\) 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 \(H_\infty\) 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 \(H_\infty\) disturbance attenuation level than one in [\textit{A. Liu} et al., Math. Biosci. 239, No. 1, 97--105 (2012; Zbl 1319.92028)].
Mathematics Subject Classification ID: 92C42
Mathematics Subject Classification ID: 92C40
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 60J20
zbMATH DE Number: 7022016
zbMATH Keywords: discrete-time genetic regulatory networks
zbMATH Keywords: \(H_\infty\) filtering
zbMATH Keywords: random delay
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/257971
OpenAlex ID: W2084656746
Wikidata QID: Q59037022
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description: scientific article; zbMATH DE number 7022016