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The finite-time stability of perturbed systems

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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https://hal.archives-ouvertes.fr/hal-00761641
Contributor : Frédéric Davesne <>
Submitted on : Wednesday, December 5, 2012 - 6:33:06 PM
Last modification on : Tuesday, June 30, 2020 - 11:56:08 AM

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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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