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

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 prac...

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Autores principales:	Hammi,Mekki, Hammami,Mohamed Ali
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2015
Materias:	Gronwall-Bellman inequality perturbed systems stability
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000300004
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spelling	oai:scielo:S0719-064620150003000042018-10-08Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stabilityHammi,MekkiHammami,Mohamed Ali Gronwall-Bellman inequality perturbed systems stability 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.17 n.3 20152015-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000300004en10.4067/S0719-06462015000300004
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Gronwall-Bellman inequality perturbed systems stability
spellingShingle	Gronwall-Bellman inequality perturbed systems stability Hammi,Mekki Hammami,Mohamed Ali Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability
description	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.
author	Hammi,Mekki Hammami,Mohamed Ali
author_facet	Hammi,Mekki Hammami,Mohamed Ali
author_sort	Hammi,Mekki
title	Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability
title_short	Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability
title_full	Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability
title_fullStr	Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability
title_full_unstemmed	Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability
title_sort	gronwall-bellman type integral inequalities and applications to global uniform asymptotic stability
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000300004
work_keys_str_mv	AT hammimekki gronwallbellmantypeintegralinequalitiesandapplicationstoglobaluniformasymptoticstability AT hammamimohamedali gronwallbellmantypeintegralinequalitiesandapplicationstoglobaluniformasymptoticstability
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Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability

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