Stability Analysis of Genetic Regulatory Networks With General Random Disturbances

被引:40
作者
Jiao, Ticao [1 ]
Zong, Guangdeng [2 ]
Nguang, Sing Kiong [3 ]
Zhang, Cunshan [1 ]
机构
[1] Shandong Univ Technol, Sch Elect & Elect Engn, Zibo 255000, Peoples R China
[2] Qufu Normal Univ, Sch Engn, Rizhao 276826, Peoples R China
[3] Univ Auckland, Dept Elect & Comp Engn, Auckland 92019, New Zealand
基金
美国国家科学基金会;
关键词
Random genetic regulatory network (RGRNs); noise-to-state stability (NSS); globally asymptotic stability (GAS); STOCHASTIC STABILITY; SYSTEMS; STABILIZATION;
D O I
10.1109/TNB.2018.2887305
中图分类号
Q5 [生物化学];
学科分类号
071010 ; 081704 ;
摘要
This paper establishes the stability criteria for genetic regulatory networks with random disturbances. We assume the nonlinear feedback regulation function to satisfy the sector-like condition and the random perturbation to have a finite second-order moment. First, under the globally Lipschitz condition, the existence and uniqueness of solution to random genetic regulatory networks are considered by exploiting an iterative approximation method. Then, by feat of the random analysis method and matrix technique, sufficient conditions are given to guarantee the noise-to-state stability in mean and globally asymptotic stability in probability, respectively. At last, two simulation examples are exploited in order to verify the validity of the proposed theory.
引用
收藏
页码:128 / 135
页数:8
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