Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2015, Volume 11, Number 3, Pages 207–235
DOI: https://doi.org/10.15407/mag11.03.207 (Mi jmag617) 		 
This article is cited in 15 scientific papers (total in 15 papers)

On stability and stabilization of perturbed time scale systems with Gronwall inequalities

B. Ben Nassera, K. Boukerriouab, M. A. Hammamia

a University of Sfax, Department of Mathematics, Faculty of Sciences of Sfax, B.P 1171, Sfax, 3000, Tunisia
b University 08 mai 1945 of Guelma, Department of Mathematics, Avenue 19 May 1956, B.P 401, Guelma, Algeria
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DOI: https://doi.org/10.15407/mag11.03.207
Abstract: In the paper, new nonlinear time scale integral inequalities are given. By means of the explicit integral bounds, we derive sufficient conditions for the uniform asymptotic stability of perturbed systems on time scales. In the sequel, basing on Lyapunov's direct method, we develop the required type of stability.
Key words and phrases: time scales, perturbed systems, Gronwall inequalities, quadratic stability.
Received: 02.01.2014
Revised: 27.01.2015
Bibliographic databases:
Document Type: Article
MSC: 34D05, 34D10, 34D23, 37C75, 93D20
Language: English
Citation: B. Ben Nasser, K. Boukerrioua, M. A. Hammami, “On stability and stabilization of perturbed time scale systems with Gronwall inequalities”, Zh. Mat. Fiz. Anal. Geom., 11:3 (2015), 207–235
Citation in format AMSBIB
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\paper On stability and stabilization of perturbed time scale systems with Gronwall inequalities
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2015
\vol 11
\issue 3
\pages 207--235
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\crossref{https://doi.org/10.15407/mag11.03.207}
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