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

Publication Type : Journal Article

Publisher : AccScience Publishing

Source : An International Journal of Optimization and Control: Theories & Applications (IJOCTA)

Url : https://doi.org/10.11121/ijocta.2023.1327

Campus : Coimbatore

School : School of Physical Sciences

Department : Mathematics

Year : 2023

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.

Cite this Research Publication : Arumugam Vinodkumar, Sivakumar Harinie, Michal Fečkan, Jehad Alzabut, Some stability results on non-linear singular differential systems with random impulsive moments, An International Journal of Optimization and Control: Theories & Applications (IJOCTA), AccScience Publishing, 2023, https://doi.org/10.11121/ijocta.2023.1327

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