Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability
-
Mekki Hammi
mohamedali.hammami@fss.rnu.tn
-
Mohamed Ali Hammami
mohamedali.hammami@fss.rnu.tn
Downloads
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.
Keywords
Most read articles by the same author(s)
- Djalal Boucenna, Abdellatif Ben Makhlouf, Mohamed Ali Hammami, On Katugampola fractional order derivatives and Darboux problem for differential equations , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
Similar Articles
- Leigh C. Becker, T. A. Burton, Jensen's Inequality and Liapunov's Direct Method , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- Akio Matsumoto, Ferenc Szidarovszky, An elementary study of a class of dynamic systems with two time delays , CUBO, A Mathematical Journal: Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal
- Paolo Piccione, Daniel V. Tausk, Topological Methods for ODE's: Symplectic Differential Systems , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- Youssef N. Raffoul, Boundedness and stability in nonlinear systems of differential equations using a modified variation of parameters formula , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- l. M. Proudnikov, Construction of a stabilizing control and solution to a problem about the center and the focus for differential systems with a polynomial part on the right side , CUBO, A Mathematical Journal: Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal
- Sever Silvestru Dragomir, Eder Kikianty, Perturbed weighted trapezoid inequalities for convex functions with applications , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
- Mehdi Dehghanian, Choonkil Park, Yamin Sayyari, Stability of ternary antiderivation in ternary Banach algebras via fixed point theorem , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- M. W. Wong, Erhling's Inequality and Pseudo-Differential Operators on ð¿áµ–(IRá´º) , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- Akio Matsumoto, Ferenc Szidarovszky, An Elementary Study of a Class of Dynamic Systems with Single Time Delay , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Carl Chiarella, Ferenc Szidarovszky, Dynamic Oligopolies and Intertemporal Demand Interaction , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
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
Section
Articles
