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

Author:

Vinodkumar ArumugamORCID,Harinie SivakumarORCID,Fečkan MichalORCID,Alzabut JehadORCID

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.

Publisher

International Journal of Optimization and Control: Theories and Applications

Subject

Applied Mathematics,Control and Optimization

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