Conditions for Fixed-Time Stability and Stabilization of Continuous Autonomous Systems - INRIA - Institut National de Recherche en Informatique et en Automatique Accéder directement au contenu
Article Dans Une Revue Systems and Control Letters Année : 2019

Conditions for Fixed-Time Stability and Stabilization of Continuous Autonomous Systems

Résumé

This work presents Lyapunov analysis conditions for fixed-time stability, a property where all the system's trajectories converge exactly to zero in a finite amount of time that is independent of the system's initial condition. Necessary and sufficient conditions for fixed-time stability without taking into account the regularity of the settling-time function are presented first. Next, a characterization for fixed-time stability with continuous settling-time function is introduced. A particular form of the characterizing functions follows, it allows to establish more constructive conditions and in order to obtain a converse result, the concept of complete fixed-time stability is introduced. A set of academic examples and an example of allocation of mobile agents illustrate the given concepts. Finally, a sufficient condition for fixed-time stabilization of nonlinear affine systems is obtained.
Fichier principal
Vignette du fichier
FX_NS_Conditions.pdf (2.82 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02142027 , version 1 (28-05-2019)
hal-02142027 , version 2 (19-07-2019)

Identifiants

Citer

Francisco Lopez-Ramirez, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. Conditions for Fixed-Time Stability and Stabilization of Continuous Autonomous Systems. Systems and Control Letters, 2019, 129, pp.26-35. ⟨10.1016/j.sysconle.2019.05.003⟩. ⟨hal-02142027v2⟩
228 Consultations
434 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More