Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability
Author
Hammi, Mekki
Hammami, Mohamed Ali
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/116310.4067/S0719-06462015000300004
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.