Stability of Piecewise Affine Systems with State-Dependent Delay, and Application to Congestion Control

Christophe Fiter 1, 2, 3, * Emilia Fridman 3
* Auteur correspondant
1 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : In this work, we consider the exponential stability of piecewise affine systems with time- and state-dependent delay, and delayed-state-dependent switching. The stability analysis is based on the use of Lyapunov-Krasovskii functionals, and is divided into two parts. First, global stability conditions are proposed in the case of systems with (state-independent) time-varying delay. Then, local stability conditions are derived in the case of systems with time- and state-dependent delay. In the latter case, estimations of the domain of attraction are also proposed. The theoretical results are applied to the congestion control problem, which can be modelled by such systems.
Type de document :
Communication dans un congrès
52nd IEEE Conference on Decision and Control, Dec 2013, Florence, Italy. 2013
Liste complète des métadonnées

Littérature citée [24 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-00849844
Contributeur : Christophe Fiter <>
Soumis le : lundi 7 septembre 2015 - 11:18:04
Dernière modification le : jeudi 12 avril 2018 - 11:14:04
Document(s) archivé(s) le : mardi 8 décembre 2015 - 11:52:33

Fichier

CDC 2013 - Final.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-00849844, version 1

Citation

Christophe Fiter, Emilia Fridman. Stability of Piecewise Affine Systems with State-Dependent Delay, and Application to Congestion Control. 52nd IEEE Conference on Decision and Control, Dec 2013, Florence, Italy. 2013. 〈hal-00849844〉

Partager

Métriques

Consultations de la notice

295

Téléchargements de fichiers

98