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

被引：3
|
作者：
Li, Zhi [1 ]
Chen, Ke [2 ]
机构：
[1] Sichuan Univ, Sch Business, Chengdu 610065, Peoples R China
[2] Sichuan Univ, Coll Mat Sci & Engn, Chengdu 610065, Peoples R China
来源：
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2014年 / 39卷 / 08期
关键词：
Genetic regulatory networks (GRNs); Linear matrix inequalities (LMIs); Lyapunov-Krasovskii functional; Stochastic perturbations; Interval uncertain system; ROBUST STABILITY; NEURAL-NETWORKS;
D O I：
10.1007/s13369-014-1206-4
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
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.
引用
收藏
页码：6507 / 6520
页数：14
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