Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability

Mekki Hammi; Mohamed Ali Hammami

doi:10.4067/S0719-06462015000300004

Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability

Authors

Mekki Hammi University of Sfax, Faculty of Sciences of Sfax, Department of Mathematics, Route Soukra, BP 1171, 3000 Sfax, Tunisia,
Mohamed Ali Hammami University of Sfax, Faculty of Sciences of Sfax, Department of Mathematics, Route Soukra, BP 1171, 3000 Sfax, Tunisia,

DOI:

https://doi.org/10.4067/S0719-06462015000300004

Keywords:

Gronwall-Bellman inequality, perturbed systems, stability

Abstract

In this paper, some new nonlinear generalized Gronwall-Bellman-Type integral inequal- ities are established. These inequalities can be used as handy tools to research stability problems of perturbed dynamic systems. As applications, based on these new estab- lished inequalities, some new results of practical uniform stability are also given. A numerical example is presented to illustrate the validity of the main results.

Downloads

Download data is not yet available.

Downloads

Published

2015-10-01

How to Cite

[1]

M. Hammi and M. A. Hammami, “Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability”, CUBO, vol. 17, no. 3, pp. 53–70, Oct. 2015.