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Finite-time stability and stabilization of time-delay systems

Emmanuel Moulay 1 Michel Dambrine 2 Nima Yeganefar 3 Wilfrid Perruquetti 4, 5
4 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
5 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : Finite-time stability and stabilization of retarded-type functional differential equations are developed. First, a theoretical result on finite-time stability inspired by the theory of differential equations, using Lyapunov functionals, is given. As it may appear not easily usable in practice, we show how to obtain finite-time stabilization of linear systems with delays in the input by using an extension of Artstein's model reduction to nonlinear feedback. With this approach, we give an explicit finite-time controller for scalar linear systems and for the chain of integrators with delays in the input.
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https://hal.inria.fr/inria-00344524
Contributor : Wilfrid Perruquetti <>
Submitted on : Friday, February 19, 2021 - 2:02:57 PM
Last modification on : Saturday, May 1, 2021 - 3:39:48 AM
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Emmanuel Moulay, Michel Dambrine, Nima Yeganefar, Wilfrid Perruquetti. Finite-time stability and stabilization of time-delay systems. Systems and Control Letters, Elsevier, 2008, 57 (7), pp.561-566. ⟨10.1016/j.sysconle.2007.12.002⟩. ⟨inria-00344524⟩

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