Robust stability of Markovian jumping genetic regulatory networks with mode-dependent delays
type: Item
instance of: scholarly article
title: Robust stability of Markovian jumping genetic regulatory networks with mode-dependent delays
zbMATH Open document ID: 1264.93197
DOI: 10.1155/2012/504378
author: Guang He
author: Xiaotai Wu
author: Jian'an Fang
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: The robust stability analysis problem is investigated for a class of Markovian jumping genetic regulatory networks with parameter uncertainties and mode-dependent delays, which varies randomly according to the Markov state and exists in both translation and feedback regulation processes. The purpose of the addressed stability analysis problem is to establish some easily verifiable conditions under which the Markovian jumping genetic regulatory networks with parameter uncertainties and mode-dependent delays is asymptotically stable. By utilizing a new Lyapunov functional and a lemma, we derive delay-dependent sufficient conditions ensuring the robust stability of the gene regulatory networks in the form of linear matrix inequalities. Illustrative examples are exploited to show the effectiveness of the derived linear-matrix-inequalities- (LMIS-) based stability conditions.
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 6173338
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/504378
OpenAlex ID: W2141609729
Wikidata QID: Q58911878
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description: scientific article; zbMATH DE number 6173338