Asymptotic behaviors of solutions of a class of time-varying differential equations

Author:

Hammi Mekki1,Hammami Mohamed Ali2,Eddine Abbes Imad2

Affiliation:

1. IPEIG-Gafsa , University of Gafsa , Gafsa , Tunisia

2. Department of Mathematics , Faculty of Sciences of Sfax , University of Sfax , Sfax , Tunisia

Abstract

Abstract This paper deals with the problem of the global uniform stability of nonlinear time-varying systems in the presence of perturbations. The main novelty relies on the fact that the proposed approach for stability analysis allows for the computation of the bounds which characterize the asymptotic convergence of solutions to a small ball centered at the origin. Therefore, we generalize some results which have already be announced in the literature. Furthermore, we provide a numerical example to validate the effectiveness of our main result.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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