A less conservative stability criterion for delayed stochastic genetic regulatory networks
type: Item
instance of: scholarly article
title: A less conservative stability criterion for delayed stochastic genetic regulatory networks
zbMATH Open document ID: 1407.93347
DOI: 10.1155/2014/768483
author: Tingting Yu
author: Jing Wang
author: Xian Zhang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper concerns the problem of stability analysis for delayed stochastic genetic regulatory networks. By introducing an appropriate Lyapunov-Krasovskii functional and employing delay-range partition approach, a new stability criterion is given to ensure the mean square stability of genetic regulatory networks with time-varying delays and stochastic disturbances. The stability criterion is given in the form of linear matrix inequalities, which can be easily tested by the LMI Toolbox of MATLAB. Moreover, it is theoretically shown that the obtained stability criterion is less conservative than the one in [\textit{W. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 4, 1753--1765 (2012; Zbl 1239.92041)]. Finally, a numerical example is presented to illustrate our theory.
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 7017231
Wikidata QID: Q59072085
describes a project that uses: Matlab
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/768483
OpenAlex ID: W2093597158
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description: scientific article; zbMATH DE number 7017231