From local to global asymptotic stabilizability for weakly contractive control systems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Automatica Année : 2021

From local to global asymptotic stabilizability for weakly contractive control systems

Résumé

A nonlinear control system is said to be weakly contractive in the control if the flow that it generates is non-expanding (in the sense that the distance between two trajectories is a non-increasing function of time) for some fixed Riemannian metric independent of the control. We prove in this paper that for such systems, local asymptotic stabilizability implies global asymptotic stabilizability by means of a dynamic state feedback. We link this result and the so-called Jurdjevic and Quinn approach.
Fichier principal
Vignette du fichier
Local2globalHAL.pdf (147.3 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02611605 , version 1 (19-05-2020)

Identifiants

Citer

Vincent Andrieu, Lucas Brivadis, Jean-Paul Gauthier, Ludovic Sacchelli, Ulysse Serres. From local to global asymptotic stabilizability for weakly contractive control systems. Automatica, 2021, 124, pp.109308. ⟨10.1016/j.automatica.2020.109308⟩. ⟨hal-02611605⟩
274 Consultations
113 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More