Razumikhin-type theorems for impulsive differential equations with piecewise constant argument of generalized type

Razumikhin-type theorems for impulsive differential equations with piecewise constant argument of generalized type

Abstract In this paper, we focus on developing Razumikhin technique for stability analysis of impulsive differential equations with piecewise constant argument. Based on the Lyapunov–Razumikhin method and impulsive control theory, we obtain some Razumikhin-type theorems on uniform stability, uniform...

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Bibliographic Details
Main Author: Qiang Xi
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Advances in Difference Equations
Subjects:
Impulsive differential equations
Piecewise constant argument of generalized type
Lyapunov–Razumikhin method
Asymptotic stability
Exponential stability
Online Access:http://link.springer.com/article/10.1186/s13662-018-1725-5

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http://link.springer.com/article/10.1186/s13662-018-1725-5

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