Razumikhin-type theorem for pth exponential stability of impulsive stochastic functional differential equations based on vector Lyapunov function. (February 2021)

• Record Type: Journal Article
• Authors: Cao, Wenping; Zhu, Quanxin
• Is Part Of: Nonlinear analysis. Volume 39(2021)
• Publication Date: 2021-02
• Subjects: Stabilization -- Razumikhin-type technique -- Vector Lyapunov function -- Impulsive system -- Stochastic functional differential equation -- Average dwell-time method; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2020.100983
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper is concerned with the pth moment exponential stability of stochastic functional differential equations with impulses. Based on average dwell-time method, Razumikhin-type technique and vector Lyapunov function, some novel stability criteria are obtained for impulsive stochastic functional differential systems. Two examples are given to demonstrate the validity of the proposed results.