| Home  | About ScienceAsia  | Publication charge  | Advertise with us  | Subscription for printed version  | Contact us  
Editorial Board
Journal Policy
Instructions for Authors
Online submission
Author Login
Reviewer Login
Volume 50 Number 1
Volume 49 Number 6
Volume 49 Number 5
Volume 49S Number 1
Volume 49 Number 4
Volume 49 Number 3
Earlier issues
Volume  Number 

previous article next article

Research articles

ScienceAsia 40 (2014): 306-312 |doi: 10.2306/scienceasia1513-1874.2014.40.306


Mathematical models of nonlinear uniform consensus


Mansoor Saburova,*, Khikmat Saburovb

 
ABSTRACT:     We consider a nonlinear protocol for a structured time-invariant and synchronous multi-agent system. In the multi-agent system, we present opinion sharing dynamics as a trajectory of a cubic triple stochastic matrix. We provide a criterion for a uniform consensus of the multi-agent system. We show that the multi-agent system eventually reaches a consensus if either one of the following two conditions is satisfied: (i) every member of the group people has a positive subjective opinion on the given task after some revision steps or (ii) all entries of the given cubic triple stochastic matrix are positive.

Download PDF

6 Downloads 1333 Views


a Faculty of Science, International Islamic University Malaysia, 25200 Kuantan, Pahang, Malaysia
b University of West Bohemia, Pramenni 20/3 P.O.Box 301 00 Pilsen, Czech Republic

* Corresponding author, E-mail: msaburov@gmail.com

Received 11 Apr 2014, Accepted 25 Jul 2014