Stochastic Stability Analysis for Switched Genetic Regulatory Networks with Interval Time-Varying Delays Based on Average Dwell Time Approach

被引：9

作者：

Krishnasamy, R. ^{[1
]}

Balasubramaniam, P. ^{[1
]}

机构：

[1] Deemed Univ, Dept Math, Gandhigram Rural Inst, Gandhigram 624302, Tamil Nadu, India

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2014年 / 32卷 / 06期

关键词：

Switched stochastic genetic regulatory networks; Exponential stability; Average dwell time; Lyapunov-Krasovskii functional; Linear matrix inequality; EXPONENTIAL STABILITY; NOISE;

D O I：

10.1080/07362994.2014.962044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, the problem of stochastic stability analysis for switched stochastic genetic regulatory networks with interval time-varying delays based on average dwell time approach is investigated. By constructing the piecewise Lyapunov-Krasovskii functional, delay-dependent stability conditions are derived by using free-weighting matrix and convex combination approach. The derived stability conditions are expressed in terms of linear matrix inequalities which can be easily solved by using the MATLAB LMI control toolbox. Finally, numerical examples are provided to demonstrate the effectiveness and less conservativeness of the proposed theoretical results.

引用

页码：1046 / 1066

页数：21

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