Stability of homogeneous systems with distributed delay and time-varying perturbations - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Automatica Année : 2023

Stability of homogeneous systems with distributed delay and time-varying perturbations

Résumé

For a class of nonlinear systems with homogeneous right-hand sides of non-zero degree and distributed delays, the problem of stability robustness of the zero solution with respect to time-varying perturbations multiplied by a nonlinear functional gain is studied. It is assumed that the disturbance-free and delay-free system (that results after substitution of non-delayed state for the delayed one) is globally asymptotically stable. First, it is demonstrated that in the disturbance-free case the zero solution is either locally asymptotically stable or practically globally asymptotically stable, depending on the homogeneity degree of the delay-free counterpart. Second, using averaging tools several variants of the time-varying perturbations are considered and the respective conditions are derived evaluating the stability margins in the system. The results are obtained by a careful choice and comparison of Lyapunov-Krasovskii and Lyapunov-Razumikhin approaches. Finally, the obtained theoretical findings are illustrated on two mechanical systems.
Fichier principal
Vignette du fichier
raspr.pdf (338.08 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03777752 , version 1 (15-09-2022)
hal-03777752 , version 2 (12-01-2024)

Licence

Identifiants

Citer

Alexander Aleksandrov, Denis Efimov, Emilia Fridman. Stability of homogeneous systems with distributed delay and time-varying perturbations. Automatica, 2023, 153, pp.111058. ⟨10.1016/j.automatica.2023.111058⟩. ⟨hal-03777752v2⟩
67 Consultations
156 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More