On stability of nonlinear homogeneous systems with distributed delays having variable kernels - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Systems and Control Letters Année : 2024

On stability of nonlinear homogeneous systems with distributed delays having variable kernels

Alexander Aleksandrov
Emilia Fridman
  • Fonction : Auteur
  • PersonId : 838164

Résumé

The stability problem for nonlinear homogeneous systems with distributed delay and variable kernel is studied. Both, the Lyapunov–Krasovskii and the Razumikhin, approaches are applied. It is proved that the global asymptotic stability of the zero solution for an auxiliary delay-free homogeneous system implies the local asymptotic stability of the zero solution for the original system with distributed delay. Moreover, the impact of nonlinear time-varying perturbations on the system dynamics is analyzed applying the averaging techniques. The results are illustrated by a mechanical system described by a Lienard equation, and an indirect control system design for a linear system.

Domaines

Automatique
Fichier principal
Vignette du fichier
ave-1.pdf (494.88 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04463938 , version 1 (17-02-2024)
hal-04463938 , version 2 (03-06-2024)

Licence

Identifiants

  • HAL Id : hal-04463938 , version 2

Citer

Alexander Aleksandrov, Denis Efimov, Emilia Fridman. On stability of nonlinear homogeneous systems with distributed delays having variable kernels. Systems and Control Letters, inPress. ⟨hal-04463938v2⟩
53 Consultations
63 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More