Reaching a consensus: a discrete nonlinear time-varying case

Saburov, Mansoor and Saburov, Khikmat (2016) Reaching a consensus: a discrete nonlinear time-varying case. International Journal of Systems Science, 47 (10). pp. 2449-2457. ISSN 0020-7721 E-ISSN 1464-5319

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Abstract

In this paper, we have considered a nonlinear protocol for a structured time-varying and synchronous multi-agent system. By means of cubic triple stochastic matrices, we present an opinion sharing dynamics of the multi-agent system as a trajectory of a non-homogeneous system of cubic triple stochastic matrices. We show that the multi-agent system eventually reaches to a consensus if either of the following two conditions is satisfied: (1) every member of the group people has a positive subjective distribution on the given task after some revision steps or (2) all entries of some cubic triple stochastic matrix are positive.

Item Type:	Article (Journal)
Additional Information:	6769/51165
Uncontrolled Keywords:	cubic triple stochastic matrix; nonlinear protocol; nonlinear consensus; multi-agent system; opinion sharing dynamics
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:	27 Jun 2016 08:45
Last Modified:	22 Dec 2016 14:49
URI:	http://irep.iium.edu.my/id/eprint/51165

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