Exponential stability of a class of nonlinear systems via fixed point theory

被引：11

作者：

Chen, Lili ^{[1
,2
]}

Liu, Xin ^{[2
]}

Zhao, Yanfeng ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

[2] Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 196卷

关键词：

p-stability; Genetic regulatory networks; Contraction mapping principle; PARTIAL-DIFFERENTIAL-EQUATIONS; GENETIC REGULATORY NETWORKS; CELLULAR NEURAL-NETWORKS; ROBUST STABILITY; DELAYS; LAPLACIAN;

D O I：

10.1016/j.na.2020.111784

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the problem of globally stochastically exponential stability in the pth moment for a class of T-S fuzzy stochastic impulsive genetic regulatory networks with random discrete delays, distributed delays and parameter uncertainties is discussed. By utilizing the theory of stochastic analysis, semigroup theory and fixed point theory, a novel sufficient condition to guarantee the globally stochastically exponential stability in the pth moment of the considered genetic regulatory networks is derived. Eventually, an example is given to demonstrate that the obtained result is effective. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：18

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