Hyperexponential and fixed-time stability of time-delay systems: Lyapunov-Razumikhin method

Razumikhin-like theorems on hyperexponential and fixed-time stability of time-delay systems are proposed for both explicitly and implicitly defined Lyapunov functions. While the former method is useful for stability analysis, the latter approach is more suitable for control synthesis. Examples of systems that can be stabilized hyperexponentially and in fixed time are given. The control parameters tuning algorithm is presented in the form of linear matrix inequalities. The numerical simulations illustrate the theoretical results.

Mots clés

Fixed-time and hyperexponential stability implicit theorem linear matrix inequalities Lyapunov-Razumikhin theorem time-delay systems

Domaines

Automatique / Robotique

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_ILRF (final version).pdf (454.02 Ko)

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Denis Efimov : Connectez-vous pour contacter le contributeur

https://inria.hal.science/hal-03643398

Soumis le : vendredi 15 avril 2022-16:44:03

Dernière modification le : vendredi 31 mai 2024-18:32:03

Dates et versions

hal-03643398 , version 1 (15-04-2022)

Identifiants

HAL Id : hal-03643398 , version 1
DOI : 10.1109/tac.2022.3168487

Citer

Artem N Nekhoroshikh, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti, Igor Furtat. Hyperexponential and fixed-time stability of time-delay systems: Lyapunov-Razumikhin method. IEEE Transactions on Automatic Control, inPress, ⟨10.1109/tac.2022.3168487⟩. ⟨hal-03643398⟩

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