Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability
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Mekki Hammi
mohamedali.hammami@fss.rnu.tn
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Mohamed Ali Hammami
mohamedali.hammami@fss.rnu.tn
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DOI:
https://doi.org/10.4067/S0719-06462015000300004Abstract
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.
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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.
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