Orbital stability of periodic solutions of an impulsive system with a linear continuous-time part

An impulsive system with a linear continuous-time part and a nonlinear discrete-time part is considered. A criterion for exponential orbital stability of its periodic solutions is obtained. The proof is based on linearization by the first approximation of an auxiliary discrete-time system. The formu...

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Bibliographic Details
Main Author: Alexander N. Churilov
Format: Article
Language:English
Published: AIMS Press 2020-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020007/fulltext.html