[en] We introduce a characterization of contraction for bounded convex sets. For discrete-time multi-agent systems we provide an explicit upperbound on the rate of convergence to a consensus under the assumptions of contractiveness and (weak) connectedness (across an interval). Convergence is shown to be exponential when either the system of the function characterizing the contraction is linear
Disciplines :
Electrical & electronics engineering
Author, co-author :
tuna, S. E.; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore)
Sepulchre, Rodolphe ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Language :
English
Title :
Quantitative onvergence analysis of multi-agent systems
Publication date :
August 2007
Event name :
7th IFAC Symposium on Nonlinear Control Systems
Event place :
Pretoria, South Africa
Event date :
du 21 au 24 août 2007
By request :
Yes
Audience :
International
Main work title :
Proceedings of the 7th IFAC Symposium on Nonlinear Control Systems
