Abstract

HAMMI, Mekki  and  HAMMAMI, Mohamed Ali. Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability. Cubo [online]. 2015, vol.17, n.3, pp.53-70. ISSN 0719-0646.  http://dx.doi.org/10.4067/S0719-06462015000300004.

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

Keywords : Gronwall-Bellman inequality; perturbed systems; stability.

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