Reaching a nonlinear consensus: polynomial stochastic operators

Saburov, Mansoor and Saburov, Khikmat (2014) Reaching a nonlinear consensus: polynomial stochastic operators. International Journal of Control, Automation and Systems, 12 (6). pp. 1276-1282. ISSN 1598-6446 E-ISSN 2005-4092

	PDF - Published Version Restricted to Registered users only Download (1MB) | Request a copy
	PDF (SCOPUS) - Supplemental Material Restricted to Repository staff only Download (87kB) | Request a copy
Preview	PDF (WOS) - Supplemental Material Download (137kB) | Preview

Abstract

We provide a general nonlinear protocol for a structured time-varying and synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajectory of a polynomial stochastic operator associated with a multidimensional stochastic hypermatrix. We show that the multi-agent system eventually reaches to 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 a multidimensional stochastic hypermatrix are positive. Numerical results are also presented.

Item Type:	Article (Journal)
Additional Information:	6769/38828
Uncontrolled Keywords:	Multidimension stochastic hypermatrix, nonlinear consensus, polynomial operator
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:	17 Oct 2014 15:29
Last Modified:	26 Sep 2017 09:38
URI:	http://irep.iium.edu.my/id/eprint/38828

Actions (login required)

View Item