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Stability of nonlinear variable-time impulsive differential systems with delayed impulses

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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… Click to show full 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.

Keywords: differential systems; impulsive differential; time impulsive; variable time; delayed impulses; systems delayed

Journal Title: Nonlinear Analysis: Hybrid Systems
Year Published: 2021

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