AccScience Publishing / IJOCTA / Volume 13 / Issue 2 / DOI: 10.11121/ijocta.2023.1327
RESEARCH ARTICLE

Some stability results on non-linear singular differential systems with random impulsive moments

Arumugam Vinodkumar1* Sivakumar Harinie1 Michal Feˇckan2,3 Jehad Alzabut4,5
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1 Department of Mathematics, Amrita School of Physical Sciences, Coimbatore-641 112, Amrita Vishwa Vidyapeetham, India
2 Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynsk´a dolina, 842 48, Bratislava, Slovakia
3 Mathematical Institute, Slovak Academy of Sciences, Stef´anikova 49, 814 73 Bratislava, Slovakia
4 Department of Mathematics and General Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia
5 Department of Industrial Engineering, OSTIM Technical University, Ankara 06374, Turkey
IJOCTA 2023, 13(2), 259–268; https://doi.org/10.11121/ijocta.2023.1327
Received: 4 October 2022 | Accepted: 31 May 2023 | Published online: 29 July 2023
© 2023 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Abstract

This paper studies the exponential stability for random impulsive non-linear singular differential systems. We established some new sufficient conditions for the proposed singular differential system by using the Lyapunov function method with random impulsive time points. Further, to validate the theoretical results' effectiveness, we finally gave two numerical examples that study with graphical illustration and an additional example involving matrices with complex entries, proving the results to be true in that case as well.

Keywords
Random impulses
Lyapunov function
Exponential stability
Singular differential systems
Conflict of interest
The authors declare they have no competing interests.
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