Stability of genetic regulatory networks based on switched systems and mixed time-delays

被引：31
|
作者：
Wang, Lan [1 ,2 ]
Luo, Zong-Ping [1 ]
Yang, Hui-Lin [1 ]
Cao, Jinde [3 ]
机构：
[1] Soochow Univ, Affiliated Hosp 1, Inst Orthoped, Dept Orthoped, Suzhou 215007, Peoples R China
[2] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
[3] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
MATHEMATICAL BIOSCIENCES | 2016年 / 278卷
基金：
中国国家自然科学基金;
关键词：
The switched genetic regulatory networks; Noise; Mixed time-delays; Global asymptotical stability; Lyapunov method; NEURAL-NETWORKS; ROBUST STABILITY; POINT DISSIPATIVITY; GLOBAL STABILITY; VARYING DELAYS; DESIGN; ESTIMATOR; DISCRETE; NOISE;
D O I：
10.1016/j.mbs.2016.06.004
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, the switched genetic regulatory networks (GRNs) are modeled from a real biological system, based on switched systems, noise and mixed time-delays. Global asymptotical stability for the proposed switched GRNs are studied by the Lyapunov method and the matrix inequality techniques. Some new sufficient conditions are obtained to ensure the global asymptotical stability of the proposed switched GRNs. Furthermore, the proposed LMI results are computationally efficient as it can be solved numerically with standard commercial software. Finally, an example is provided to illustrate the usefulness of the results. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：94 / 99
页数：6
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