Complete quadratic Lyapunov functionals for distributed delay systems - Université Toulouse 3 Accéder directement au contenu
Article Dans Une Revue Automatica Année : 2015

Complete quadratic Lyapunov functionals for distributed delay systems

Résumé

This paper is concerned with the stability analysis of distributed delay systems using complete-Lyapunov functionals. Numerous articles aim at approximating their parameters thanks to a discretization method or polynomial modeling. The interest of such approximations is the design of tractable sufficient stability conditions. In the present article, we provide an alternative method based on polynomial approximation which takes advantages of the Legendre polynomials and their properties. The resulting stability conditions are scalable with respect to the maximum degree of the polynomials and are expressed in terms of tractable linear matrix inequalities. Several examples of delayed systems are tested to show the effectiveness of the method.
Fichier principal
Vignette du fichier
BesselDistrib.pdf (467.11 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01257679 , version 1 (18-01-2016)

Identifiants

Citer

Alexandre Seuret, Frédéric Gouaisbaut, Yassine Ariba. Complete quadratic Lyapunov functionals for distributed delay systems. Automatica, 2015, 62, pp.168-176. ⟨10.1016/j.automatica.2015.09.030⟩. ⟨hal-01257679⟩
174 Consultations
334 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More