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

Autor:	Arumugam Vinodkumar, Sivakumar Harinie, Michal Fečkan, Jehad Alzabut
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Random impulses Lyapunov function Exponential stability Singular differential systems Applied mathematics. Quantitative methods T57-57.97 Mathematics QA1-939
Zdroj:	An International Journal of Optimization and Control: Theories & Applications, Vol 13, Iss 2 (2023)
Druh dokumentu:	article
ISSN:	2146-0957 2146-5703
DOI:	10.11121/ijocta.2023.1327
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/ce205acc9274430089ab6a56a7107802 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF