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Journal Articles IFAC-PapersOnLine Year : 2018

Razumikhin-type Theorems on Practical Stability of Dynamic Equations on Time Scales

Abstract

In this work, we investigate some Razumikhin-type criteria for the uniform global practical asymptotic stability on arbitrary time domains, for time-varying dynamic equations. Using Lyapunov-type functions on time scales, we develop appropriate inequalities ensuring that trajectories decay to the neighborhood of the trivial solution asymptotically. Some numerical examples are discussed to illustrate our results

Dates and versions

hal-03671746 , version 1 (18-05-2022)

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Bacem Ben Nasser, Michael Defoort, Mohamed Djemai, Taous-Meriem Laleg-Kirati. Razumikhin-type Theorems on Practical Stability of Dynamic Equations on Time Scales. IFAC-PapersOnLine, 2018, 51 (16), pp.121-126. ⟨10.1016/j.ifacol.2018.08.021⟩. ⟨hal-03671746⟩
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