Implicit Lyapunov-Krasovski Functionals For Stability Analysis and Control Design of Time-Delay Systems

The method of Implicit Lyapunov-Krasovski Functional (ILKF) for stability analysis of time-delay systems is introduced. Theorems on Lyapunov, asymptotic, (hyper) exponential , finite-time and fixed-time stability analysis using ILKF are presented. The hyper exponential stabilization algorithm for a time-delay system is presented. The theoretical result is supported by numerical simulation.

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Automatique

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Andrey Polyakov : Connectez-vous pour contacter le contributeur

https://inria.hal.science/hal-01160061

Soumis le : jeudi 4 juin 2015-14:30:48

Dernière modification le : mercredi 24 janvier 2024-09:54:24

Archivage à long terme le : mardi 25 avril 2017-01:45:53

Dates et versions

hal-01160061 , version 1 (04-06-2015)

Identifiants

HAL Id : hal-01160061 , version 1
DOI : 10.1109/TAC.2015.2422451

Citer

Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti, Jean-Pierre Richard. Implicit Lyapunov-Krasovski Functionals For Stability Analysis and Control Design of Time-Delay Systems. IEEE Transactions on Automatic Control, 2015, pp.6. ⟨10.1109/TAC.2015.2422451⟩. ⟨hal-01160061⟩

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