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Delay‐dependent stability for Markovian genetic regulatory networks with time‐varying delays
Author(s) -
Zhang Baoyong,
Xu Shengyuan,
Chu Yuming,
Zong Guangdeng
Publication year - 2012
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.407
Subject(s) - stability (learning theory) , control theory (sociology) , stability criterion , linear matrix inequality , exponential stability , class (philosophy) , mathematics , mode (computer interface) , computer science , control (management) , mathematical optimization , nonlinear system , artificial intelligence , physics , statistics , discrete time and continuous time , quantum mechanics , machine learning , operating system
Abstract This paper is concerned with the problem of stochastic stability analysis for a class of genetic regulatory networks with Markovian jump parameters and time‐varying delays. A delay‐dependent stability criterion is derived by using a novel mode‐dependent Lyapunov functional. The derived stability criterion is expressed in terms of linear matrix inequalities and is less conservative than the existing ones in the literature. A numerical example is provided to demonstrate the effectiveness of the proposed stability criterion. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society