Consensus under communication delays

Abstract : This paper deals with the consensus problem under communication network inducing delays. It is well-known that introducing a delay leads in general to a reduction of the performance or to instability due to the fact that time delay systems are infinite dimensional. For instance, the set of initial conditions of a time-delay system is not a vector but a function taken in an interval. Therefore, investigating the effect of time-delays in the consensus problem is an important issue. In the present paper, we assume that each agent receives instantaneously its own state information but receives the state information from its neighbors after a constant delay. Two stability criteria are provided based on the frequency approach and on Lyapunov-Krasovskii techniques given in terms of LMI. An analytic expression of the consensus equilibrium which depends on the delay and on the initial conditions taken in an interval is derived. The efficiency of the method is tested for different network communication schemes.
Type de document :
Communication dans un congrès
47th IEEE Conference on Decision and Control, CDC 2008, Dec 2008, Cancun, Mexico. 2008
Liste complète des métadonnées

Littérature citée [16 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-00386104
Contributeur : Alexandre Seuret <>
Soumis le : mercredi 20 mai 2009 - 16:32:08
Dernière modification le : mercredi 11 avril 2018 - 01:57:56
Document(s) archivé(s) le : lundi 15 octobre 2012 - 10:50:35

Fichier

CDC08_ConsensusDelay_12.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-00386104, version 1

Citation

Alexandre Seuret, Dimos V. Dimarogonas, Karl Henrik Johansson. Consensus under communication delays. 47th IEEE Conference on Decision and Control, CDC 2008, Dec 2008, Cancun, Mexico. 2008. 〈hal-00386104〉

Partager

Métriques

Consultations de la notice

384

Téléchargements de fichiers

262