Finite-time stability and stabilization of time-delay systems

Wilfrid Perruquetti 1, 2 Emmanuel Moulay 3, 4, 5 Michel Dambrine
1 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
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - 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.
Type de document :
Article dans une revue
Systems and Control Letters, Elsevier, 2008, 57 (7), pp.561-566. 〈10.1016/j.sysconle.2007.12.002〉
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https://hal.inria.fr/inria-00344524
Contributeur : Wilfrid Perruquetti <>
Soumis le : vendredi 5 décembre 2008 - 08:31:47
Dernière modification le : mardi 3 juillet 2018 - 11:33:31

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Wilfrid Perruquetti, Emmanuel Moulay, Michel Dambrine. 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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