Existence, controllability and Hyers–Ulam stability of a hybrid neutral switched system with impulsive effects

Abstract

In this study, our main focus is on the analysis of the existence, controllability, and Hyers–Ulam stability of a neutral switched system with impulsive effects on non-uniform time domains. First, we use the Banach fixed point theorem and the time scales calculus to explore the existence, Ulam's type stability, and controllability of a considered switched system. In the end, we examine the controllability results through numerical simulations. This article aims to identify the essential requirements for achieving controllability and stability on different time scales.

Keywords:

• Time scales
• neutral switched system
• hybrid system
• controllability
• Hyers–Ulam stability

Acknowledgments

The authors would like to express their sincere thanks to the associate editor's and anonymous reviewers for their constructive comments and suggestions to improve the quality of this manuscript. Also, the first author would like to thank CSIR India for the Ph.D. research fellowship, file no. 09/1058(0025)/2021-EMR-I.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

Data sharing is not applicable to this article. No new data were created or analysed in this study.