On hyperexponential stability and stabilization ⋆

Zimenko, Konstantin; Efimov, Denis; Polyakov, Andrey

Type de document :

Article dans une revue scientifique: Article original

Titre :

On hyperexponential stability and stabilization ⋆

Auteur(s) :

Zimenko, Konstantin [Auteur]
ITMO University [Russia]
Efimov, Denis [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Polyakov, Andrey [Auteur]

Finite-time control and estimation for distributed systems [VALSE]

Titre de la revue :

Automatica

Éditeur :

Elsevier

Date de publication :

2024

ISSN :

0005-1098

Discipline(s) HAL :

Informatique [cs]/Automatique

Résumé en anglais : [en]

Theorems on hyperexponential stability are proposed for both explicitly and implicitly defined Lyapunov functions. It is shown that finite-time and fixed-time controls based on the use of implicitly defined Lyapunov function ...
Lire la suite >Theorems on hyperexponential stability are proposed for both explicitly and implicitly defined Lyapunov functions. It is shown that finite-time and fixed-time controls based on the use of implicitly defined Lyapunov function provide hyperexponential stability under sampled-time realization. A rated hyperexponential control is proposed for linear systems. Preliminary numerical experiments show that the proposed control law is less sensitive to measurement noise and has better performance under input delays compared to finite-time analogs.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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