Razumikhin-type theorem for pth exponential stability of impulsive stochastic functional differential equations based on vector Lyapunov function
type: Item
instance of: scholarly article
title: Razumikhin-type theorem for pth exponential stability of impulsive stochastic functional differential equations based on vector Lyapunov function
zbMATH Open document ID: 1487.34154
author: Wenping Cao
author: Quanxin Zhu
published in: Nonlinear Analysis. Hybrid Systems
publication date: 2021-12-13T00:00:00Z
review text: This paper is concerned with the \(p\)-th moment exponential stability of stochastic functional differential equations with impulses. Based on average dwelltime 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. The results in this paper are quite general and can be used to analyze other similar important problems in the future.
reviewed by: Xiaohu Wang
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 34K45
zbMATH DE Number: 7443529
zbMATH Keywords: stabilization
zbMATH Keywords: Razumikhin-type technique
zbMATH Keywords: vector Lyapunov function
zbMATH Keywords: impulsive system
zbMATH Keywords: stochastic functional differential equation
zbMATH Keywords: average dwell-time method
MaRDI profile type: Publication
full work available at URL: j.nahs.2020.100983
OpenAlex ID: W3094099710
Wikidata QID: Q115342785
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DOI: 10.1016/J.NAHS.2020.100983
description: scientific article; zbMATH DE number 7443529