Stability of nonlinear variable-time impulsive differential systems with delayed impulses. (February 2021)

• Record Type: Journal Article
• Authors: He, Zhilong; Li, Chuandong; Cao, Zhengran; Li, Hongfei
• Is Part Of: Nonlinear analysis. Volume 39(2021)
• Publication Date: 2021-02
• Subjects: Nonlinear system -- Variable-time impulses -- Delayed impulses -- Quasi-uniformly asymptotic stability -- Quasi-exponential stability; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2020.100970
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper investigates the stability of nonlinear variable-time impulsive differential systems with delayed impulses. By using the comparison principle, the Lyapunov method and inequality techniques, some sufficient conditions for quasi-uniformly asymptotic stability and quasi-exponential stability of a given solution of variable-time impulsive differential systems with delayed impulses are established.