Exponential stability of a class of nonlinear systems via fixed point theory. (July 2020)

• Record Type: Journal Article
• Authors: Chen, Lili; Liu, Xin; Zhao, Yanfeng
• Is Part Of: Nonlinear analysis. Volume 196(2020)
• Publication Date: 2020-07
• Subjects: primary 46B20 -- secondary 46E15; p-stability -- Genetic regulatory networks -- Contraction mapping principle; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.111784
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, the problem of globally stochastically exponential stability in the p th 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 p th moment of the considered genetic regulatory networks is derived. Eventually, an example is given to demonstrate that the obtained result is effective.