Robust Stability of Markovian Jumping Genetic Regulatory Networks with Mode-Dependent Delays

被引：3
|
作者：
He, Guang [1 ]
Fang, Jian-An [2 ]
Wu, Xiaotai [1 ]
机构：
[1] Anhui Polytech Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China
[2] Donghua Univ, Sch Informat Sci & Technol, Shanghai 201620, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2012年 / 2012卷
基金：
美国国家科学基金会;
关键词：
SYNCHRONIZATION; UNCERTAINTIES; OSCILLATION;
D O I：
10.1155/2012/504378
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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.
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页数：18
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