Design of nonfragile state estimator for discrete-time genetic regulatory networks subject to randomly occurring uncertainties and time-varying delays
type: Item
instance of: scholarly article
title: Design of nonfragile state estimator for discrete-time genetic regulatory networks subject to randomly occurring uncertainties and time-varying delays
zbMATH Open document ID: 1377.93158
DOI: 10.1155/2017/4573039
author: Yanfeng Zhao
author: Dongyan Chen
author: Ji-Hong Shen
published in: Complexity
publication date: 2018-01-05T00:00:00Z
review text: Summary: We deal with the design problem of nonfragile state estimator for discrete-time Genetic Regulatory Networks (GRNs) with time-varying delays and randomly occurring uncertainties. In particular, the norm-bounded uncertainties enter into the GRNs in random ways in order to reflect the characteristic of the modelling errors, and the so-called randomly occurring uncertainties are characterized by certain mutually independent random variables obeying the Bernoulli distribution. The focus of the paper is on developing a new nonfragile state estimation method to estimate the concentrations of the mRNA and the protein for considered uncertain delayed GRNs, where the randomly occurring estimator gain perturbations are allowed. By constructing a Lyapunov-Krasovskii functional, a delay-dependent criterion is obtained in terms of Linear Matrix Inequalities (LMIs) by properly using the discrete-time Wirtinger-based inequality and reciprocally convex combination approach as well as the free-weighting matrix method. It is shown that the proposed method ensures that the estimation error dynamics is globally asymptotically stable and the desired estimator parameter is designed via the solutions to certain LMIs. Finally, we provide two numerical examples to illustrate the feasibility and validity of the proposed estimation results.
Mathematics Subject Classification ID: 93E10
Mathematics Subject Classification ID: 90B15
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C41
Mathematics Subject Classification ID: 93D30
zbMATH DE Number: 6822312
zbMATH Keywords: state estimator
zbMATH Keywords: discrete-time genetic regulatory networks
zbMATH Keywords: randomly occurring uncertainties
zbMATH Keywords: time-varying delays
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/4573039
OpenAlex ID: W2762279180
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description: scientific article; zbMATH DE number 6822312