Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 53, NO. 10, NOVEMBER 2008 2351 Technical Notes and Correspondence
 

Summary: IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 53, NO. 10, NOVEMBER 2008 2351
Technical Notes and Correspondence
Asynchronous Consensus Protocols Using
Nonlinear Paracontractions Theory
Lei Fang and Panos J. Antsaklis, Fellow, IEEE
Abstract--Several consensus protocols have been proposed in the liter-
ature and their convergence properties studied via a variety of methods.
In all these methods, the communication topologies play a key role in the
convergence of consensus processes. In this note, based on asynchronous
iteration methods for nonlinear paracontractions, we establish a new re-
sult which shows that consensus is reachable under directional and time-
varying topologies by using asynchronous nonlinear protocols. Our result
makes use of the confluent iteration graph which unifies various commu-
nication assumptions and contributes to a fundamental understanding of
convergent consensus processes. This result extends existing ones in the lit-
erature and has many potential applications. As an illustration, we consider
a special case of our model and discuss the robot rendezvous problem via a
center-of-gravity algorithm.
Index Terms--Asynchronous iterations, consensus, nonlinear paracon-
tractions.

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame

 

Collections: Engineering