Consensus over LTI networks

Jing Wang, Nicola Elia

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

In this paper, we investigate the consensus problem over the communication network where the communication channels are represented by LTI systems. We give the necessary and sufficient conditions for solving consensus problems under two different architectures. The consensus value in our framework proved to be only related with the network topology and communication channel characteristics. We further assume that the communication channels are not well known but belong to some uncertainty class. We give a sufficitent condition to reach consensus by which we only need to know the DC gain of each channel and the bound of its H-infinity norm. We also establish a bound for the H-infinity norm of the channel dynamic vectors to ensure the stability of the network and show this bound is a conservative one compared with the bound required for consensus.

Original languageEnglish (US)
Title of host publication45th Annual Allerton Conference on Communication, Control, and Computing 2007
PublisherUniversity of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering
Pages575-582
Number of pages8
ISBN (Electronic)9781605600864
StatePublished - Jan 1 2007
Externally publishedYes
Event45th Annual Allerton Conference on Communication, Control, and Computing 2007 - Monticello, United States
Duration: Sep 26 2007Sep 28 2007

Publication series

Name45th Annual Allerton Conference on Communication, Control, and Computing 2007
Volume1

Other

Other45th Annual Allerton Conference on Communication, Control, and Computing 2007
Country/TerritoryUnited States
CityMonticello
Period9/26/079/28/07

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