Reaching nonlinear consensus via non-autonomous polynomial stochastic operators

This paper is a continuation of our previous studies on nonlinear consensus which uni�es and generalizes all previous results. We consider a nonlinear protocol for a structured time-varying synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajecto...

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Main Authors:	Saburov, Mansoor, Saburov, Khikmat
Format:	Conference or Workshop Item
Language:	English English English English
Published:	IOP Publishing 2017
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/57120/ http://irep.iium.edu.my/57120/ http://irep.iium.edu.my/57120/1/The%20Nonlinear%20Consensus%20---%20JOP.pdf http://irep.iium.edu.my/57120/7/57120_Reaching%20nonlinear%20concensus_SCOPUS.pdf http://irep.iium.edu.my/57120/13/57120_reaching%20nonlinear%20consensus.pdf http://irep.iium.edu.my/57120/19/57120%20Reaching%20nonlinear%20consensus%20via%20non-autonomous%20WOS.pdf

id	iium-57120
recordtype	eprints
spelling	iium-571202019-08-18T07:29:11Z http://irep.iium.edu.my/57120/ Reaching nonlinear consensus via non-autonomous polynomial stochastic operators Saburov, Mansoor Saburov, Khikmat QA Mathematics This paper is a continuation of our previous studies on nonlinear consensus which uni�es and generalizes all previous results. We consider a nonlinear protocol for a structured time-varying synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajectory of non-autonomous polynomial stochastic operators associated with multidimensional stochastic hyper-matrices. We show that the multi-agent system eventually reaches to a nonlinear consensus if either one of the following two conditions is satisfied: (i) every member of the group people has a positive subjective distribution on the given task after some revision steps or (ii) all entries of some multidimensional stochastic hyper-matrix are positive. IOP Publishing 2017-03-12 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/57120/1/The%20Nonlinear%20Consensus%20---%20JOP.pdf application/pdf en http://irep.iium.edu.my/57120/7/57120_Reaching%20nonlinear%20concensus_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/57120/13/57120_reaching%20nonlinear%20consensus.pdf application/pdf en http://irep.iium.edu.my/57120/19/57120%20Reaching%20nonlinear%20consensus%20via%20non-autonomous%20WOS.pdf Saburov, Mansoor and Saburov, Khikmat (2017) Reaching nonlinear consensus via non-autonomous polynomial stochastic operators. In: 37th International Conference on Quantum Probability and Related Topics (QP 2016), 22th-26th Aug. 2016, Kuantan, Pahang. http://iopscience.iop.org/article/10.1088/1742-6596/819/1/012009
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English English
topic	QA Mathematics
spellingShingle	QA Mathematics Saburov, Mansoor Saburov, Khikmat Reaching nonlinear consensus via non-autonomous polynomial stochastic operators
description	This paper is a continuation of our previous studies on nonlinear consensus which uni�es and generalizes all previous results. We consider a nonlinear protocol for a structured time-varying synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajectory of non-autonomous polynomial stochastic operators associated with multidimensional stochastic hyper-matrices. We show that the multi-agent system eventually reaches to a nonlinear consensus if either one of the following two conditions is satisfied: (i) every member of the group people has a positive subjective distribution on the given task after some revision steps or (ii) all entries of some multidimensional stochastic hyper-matrix are positive.
format	Conference or Workshop Item
author	Saburov, Mansoor Saburov, Khikmat
author_facet	Saburov, Mansoor Saburov, Khikmat
author_sort	Saburov, Mansoor
title	Reaching nonlinear consensus via non-autonomous polynomial stochastic operators
title_short	Reaching nonlinear consensus via non-autonomous polynomial stochastic operators
title_full	Reaching nonlinear consensus via non-autonomous polynomial stochastic operators
title_fullStr	Reaching nonlinear consensus via non-autonomous polynomial stochastic operators
title_full_unstemmed	Reaching nonlinear consensus via non-autonomous polynomial stochastic operators
title_sort	reaching nonlinear consensus via non-autonomous polynomial stochastic operators
publisher	IOP Publishing
publishDate	2017
url	http://irep.iium.edu.my/57120/ http://irep.iium.edu.my/57120/ http://irep.iium.edu.my/57120/1/The%20Nonlinear%20Consensus%20---%20JOP.pdf http://irep.iium.edu.my/57120/7/57120_Reaching%20nonlinear%20concensus_SCOPUS.pdf http://irep.iium.edu.my/57120/13/57120_reaching%20nonlinear%20consensus.pdf http://irep.iium.edu.my/57120/19/57120%20Reaching%20nonlinear%20consensus%20via%20non-autonomous%20WOS.pdf
first_indexed	2023-09-18T21:20:41Z
last_indexed	2023-09-18T21:20:41Z
_version_	1777411861037187072

Reaching nonlinear consensus via non-autonomous polynomial stochastic operators

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