Sign in
Back
On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities
Journal article   Peer reviewed

On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities

B. Ben Nasser, K. Boukerrioua, M. A. Hammami and University of Sfax, Department of Mathematics, Faculty of Sciences of Sfax B.P 1171, Sfax, 3000, Tunisia
Journal of mathematical physics, analysis, geometry, Vol.11(3), pp.207-235
01/01/2015
DOI: https://doi.org/10.15407/mag11.03.207

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Science & Technology
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.

Metrics

1 Record Views

Details