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Conference Papers Year : 2012

The finite-time stability of perturbed systems

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Abstract

This paper deals with the finite-time stability of dynamic perturbed systems. The Lyapunov stability case is studied for nonautonomous systems and where the autonomous part is considered as finite-time stable and augmented by a separable function related to time-varying perturbations. As a result, the nonautonomous perturbed system is showed finite-time stable. Sufficient conditions are proposed for finite-time stability of homogeneous and T-periodic systems and where the averaging method has lead to a perturbed average system. The autonomous X4 flyer attitude and position stabilizations are obtained in finite-time. Some simulation results illustrate the proposed stability method.
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Dates and versions

hal-00761641 , version 1 (05-12-2012)

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Naim Zoghlami, Lotfi Beji, Mlayah Rhouma, Azgal Abichou. The finite-time stability of perturbed systems. IEEE Multi-conference on Systems and Control (MSC 2012), Oct 2012, Dubrovnik, Croatia. pp.1080--1085, ⟨10.1109/CCA.2012.6402364⟩. ⟨hal-00761641⟩
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