Exponential Stability of Stochastic Genetic Regulatory Networks with Interval Uncertainties and Multiple Delays

被引：0
|
作者：
Zhi Li
Ke Chen
机构：
[1] Sichuan University,Business School
[2] Sichuan University,College of Materials Science and Engineering
来源：
Arabian Journal for Science and Engineering | 2014年 / 39卷
关键词：
Genetic regulatory networks (GRNs); Linear matrix inequalities (LMIs); Lyapunov–Krasovskii functional; Stochastic perturbations; Interval uncertain system;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the delay-dependent exponential stability analysis problem for a class of genetic regulatory networks (GRNs) with multiple time-varying delays and interval parameter uncertainties is studied. By employing a new Lyapunov–Krasovskii functional and employing some free-weighting matrices, we derive sufficient delay-dependent conditions ensuring the exponential stability of interval GRNs with multiple time-varying delays and stochastic perturbations in the form of linear matrix inequalities. Finally, three numerical examples are used to demonstrate and verify the advantages of the main results.
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页码：6507 / 6520
页数：13
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