Geodesic
On stability and stabilization of perturbed time scale systems with Gronwall inequalities
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2015) no. 3, pp. 207-235
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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. 
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B. Ben Nasser; K. Boukerrioua; M. A. Hammami. On stability and stabilization of perturbed time scale systems with Gronwall inequalities. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2015) no. 3, pp. 207-235. http://geodesic.mathdoc.fr/item/JMAG_2015_11_3_a0/

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