Stability of nonlinear variable-time impulsive differential systems with delayed impulses
type: Item
instance of: scholarly article
title: Stability of nonlinear variable-time impulsive differential systems with delayed impulses
zbMATH Open document ID: 1491.34080
author: Chuandong Li
author: Zhengran Cao
author: Zhi Long He
author: Hongfei Li
published in: Nonlinear Analysis. Hybrid Systems
publication date: 2021-12-13T00:00:00Z
review text: The authors study the stability problem for a class of variable-time impulsive differential systems with delayed impulses. Compared with the stability problem of fixed-time impulsive differential system with delayed impulses, it is more difficult to study the stability of variable-time impulsive differential systems with delayed impulses. With the help of generalized comparison principle, impulsive differential inequalities, discontinuous Lyapunov functions and mathematical induction approaches, some sufficient criteria for quasi-uniformly asymptotic stability and quasi-exponential stability of a given solution (non-trivial solution) of variable-time impulsive differential systems with delayed impulses are established.
reviewed by: Fengqin Zhang
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K38
zbMATH DE Number: 7443516
zbMATH Keywords: nonlinear system
zbMATH Keywords: variable-time impulses
zbMATH Keywords: delayed impulses
zbMATH Keywords: quasi-uniformly asymptotic stability
zbMATH Keywords: quasi-exponential stability
MaRDI profile type: Publication
full work available at URL: j.nahs.2020.100970
OpenAlex ID: W3087392464
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DOI: 10.1016/J.NAHS.2020.100970
description: scientific article; zbMATH DE number 7443516