Title: Uniform stability of nonlinear parametric perturbed dynamical systems

Authors: Mouna Belguith, Mohamed Ali Hammami

Addresses: Faculty of Sciences of Sfax, Department of Mathematics, BP 1171, Sfax, 3000 Tunisia. ' Faculty of Sciences of Sfax, Department of Mathematics, BP 1171, Sfax, 3000 Tunisia

Abstract: In this paper, we treat the problem of stability for a class of differential equations. The perturbation is supposed depends on a real parameter which can chosen to ensure the uniform exponential stability of solutions in term of convergence to a small neighbourhood of the origin. Some numerical examples are given to illustrate the applicability of the results.

Keywords: nonlinear differential equations; parametric systems; uniform exponential stability; perturbation; perturbed dynamical systems.

DOI: 10.1504/IJDSDE.2009.031106

International Journal of Dynamical Systems and Differential Equations, 2009 Vol.2 No.3/4, pp.262 - 272

Published online: 20 Jan 2010 *

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