Mathematical models of nonlinear uniform consensus

Saburov, Mansoor and Saburov, Khikmat (2014) Mathematical models of nonlinear uniform consensus. ScienceAsia, 40 (4). pp. 306-312. ISSN 1513-1874

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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.

Item Type:	Article (Journal)
Additional Information:	6769/39451
Uncontrolled Keywords:	cubic triple stochastic matrix, multi-agent system, nonlinear protocol, nonlinear consensus
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr Mansoor Saburov
Date Deposited:	02 Dec 2014 15:55
Last Modified:	20 Sep 2017 16:25
URI:	http://irep.iium.edu.my/id/eprint/39451

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