Stability of Cayley dynamic systems with impulsive effects

Abstract Linear dynamic systems with impulsive effects are considered. For such a system we define a new impulsive exponential matrix. Necessary and sufficient conditions for exponential stability and boundedness have been established. The fundamental tool is an impulsive exponential matrix for expo...

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Bibliographic Details
Main Authors: Awais Younus, Gulnaz Atta, Ahmad Aloqaily, Nabil Mlaiki, Thabet Abdeljawad
Format: Article
Language:English
Published: SpringerOpen 2023-06-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-023-02992-4