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

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DOI:

https://doi.org/10.4067/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.

Keywords

Gronwall-Bellman inequality , perturbed systems , stability
  • 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,
  • Pages: 53-70
  • Date Published: 2015-10-01
  • Vol. 17 No. 3 (2015): CUBO, A Mathematical Journal

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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.

Issue

Vol. 17 No. 3 (2015): CUBO, A Mathematical Journal

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Articles