Nonsmooth Lur’e Dynamical Systems in Hilbert Spaces - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Set-Valued and Variational Analysis Année : 2016

Nonsmooth Lur’e Dynamical Systems in Hilbert Spaces

Samir Adly
Abderrahim Hantoute
  • Fonction : Auteur
  • PersonId : 941325
Le Ba Khiet
  • Fonction : Auteur
  • PersonId : 949887

Résumé

In this paper, we study the well-posedness and stability analysis of set-valued Lur’e dynamical systems in infinite-dimensional Hilbert spaces. The existence and uniqueness results are established under the so-called passivity condition. Our approach uses a regularization procedure for the term involving the maximal monotone operator. The Lyapunov stability as well as the invariance properties are considered in detail. In addition, we give some sufficient conditions ensuring the robust stability of the system in finite- dimensional spaces. The theoretical developments are illustrated by means of two examples dealing with nonregular electrical circuits and an other one in partial differential equations. Our methodology is based on tools from set-valued and variational analysis.
Fichier principal
Vignette du fichier
adly2015.pdf (303.43 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01313150 , version 1 (12-10-2018)

Identifiants

Citer

Samir Adly, Abderrahim Hantoute, Le Ba Khiet. Nonsmooth Lur’e Dynamical Systems in Hilbert Spaces. Set-Valued and Variational Analysis, 2016, 24 (1), pp.13-35. ⟨10.1007/s11228-015-0334-7⟩. ⟨hal-01313150⟩
168 Consultations
133 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More