Article Dans Une Revue Journal of Evolution Equations Année : 2014

Exponential stability of abstract evolution equations with time delay

Résumé

We consider abstract semilinear evolution equations with a time-delay feedback. We show that, if the C (0)-semigroup describing the linear part of the model is exponentially stable, then the whole system retains this good property when a suitable smallness condition on the time-delay feedback is satisfied. Some examples illustrating our abstract approach are also given.
Fichier principal
Vignette du fichier
1405.1850.pdf (226.73 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03166075 , version 1 (05-07-2022)

Identifiants

Citer

Serge Nicaise, Cristina Pignotti. Exponential stability of abstract evolution equations with time delay. Journal of Evolution Equations, 2014, 15 (1), pp.107-129. ⟨10.1007/s00028-014-0251-5⟩. ⟨hal-03166075⟩
65 Consultations
53 Téléchargements

Altmetric

Partager

More