Mathematical models of nonlinear uniform consensus II

This paper is a continuation of our previous studies on nonlinear consensus. We have considered a nonlinear protocol for a structured time-invariant and synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajectory of a polynomial stochastic operato...

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Main Authors:	Saburov, Mansoor, Saburov, Khikmat
Format:	Article
Language:	English English
Published:	L & H Scientific Publishing, LLC 2018
Subjects:	QA Mathematics TA Engineering (General). Civil engineering (General)
Online Access:	http://irep.iium.edu.my/64769/ http://irep.iium.edu.my/64769/ http://irep.iium.edu.my/64769/ http://irep.iium.edu.my/64769/1/64769_Mathematical%20models%20of%20nonlinear%20uniform%20consensus%20II_article.pdf http://irep.iium.edu.my/64769/2/64769_Mathematical%20models%20of%20nonlinear%20uniform%20consensus%20II_scopus.pdf

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recordtype	eprints
spelling	iium-647692018-10-04T03:31:16Z http://irep.iium.edu.my/64769/ Mathematical models of nonlinear uniform consensus II Saburov, Mansoor Saburov, Khikmat QA Mathematics TA Engineering (General). Civil engineering (General) This paper is a continuation of our previous studies on nonlinear consensus. We have considered a nonlinear protocol for a structured time-invariant 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 stochastic multidimensional hyper-matrix. We provide a criterion for a uniform consensus in the multi-agent system. Particularly, the uniform consensus is achieved in the multi-agent system if all entries of the stochastic multidimensional hyper-matrix are positive. Some numerical results are also presented to support our theoretical results. L & H Scientific Publishing, LLC 2018 Article PeerReviewed application/pdf en http://irep.iium.edu.my/64769/1/64769_Mathematical%20models%20of%20nonlinear%20uniform%20consensus%20II_article.pdf application/pdf en http://irep.iium.edu.my/64769/2/64769_Mathematical%20models%20of%20nonlinear%20uniform%20consensus%20II_scopus.pdf Saburov, Mansoor and Saburov, Khikmat (2018) Mathematical models of nonlinear uniform consensus II. Journal of Applied Nonlinear Dynamics, 7 (1). ISSN 2164-6457 E-ISSN 2164-6473 https://www.lhscientificpublishing.com/Journals/JAND-Download.aspx?volume=2018&issue=1 10.5890/JAND.2018.03.008
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA Mathematics TA Engineering (General). Civil engineering (General)
spellingShingle	QA Mathematics TA Engineering (General). Civil engineering (General) Saburov, Mansoor Saburov, Khikmat Mathematical models of nonlinear uniform consensus II
description	This paper is a continuation of our previous studies on nonlinear consensus. We have considered a nonlinear protocol for a structured time-invariant 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 stochastic multidimensional hyper-matrix. We provide a criterion for a uniform consensus in the multi-agent system. Particularly, the uniform consensus is achieved in the multi-agent system if all entries of the stochastic multidimensional hyper-matrix are positive. Some numerical results are also presented to support our theoretical results.
format	Article
author	Saburov, Mansoor Saburov, Khikmat
author_facet	Saburov, Mansoor Saburov, Khikmat
author_sort	Saburov, Mansoor
title	Mathematical models of nonlinear uniform consensus II
title_short	Mathematical models of nonlinear uniform consensus II
title_full	Mathematical models of nonlinear uniform consensus II
title_fullStr	Mathematical models of nonlinear uniform consensus II
title_full_unstemmed	Mathematical models of nonlinear uniform consensus II
title_sort	mathematical models of nonlinear uniform consensus ii
publisher	L & H Scientific Publishing, LLC
publishDate	2018
url	http://irep.iium.edu.my/64769/ http://irep.iium.edu.my/64769/ http://irep.iium.edu.my/64769/ http://irep.iium.edu.my/64769/1/64769_Mathematical%20models%20of%20nonlinear%20uniform%20consensus%20II_article.pdf http://irep.iium.edu.my/64769/2/64769_Mathematical%20models%20of%20nonlinear%20uniform%20consensus%20II_scopus.pdf
first_indexed	2023-09-18T21:31:56Z
last_indexed	2023-09-18T21:31:56Z
_version_	1777412568301699072

Mathematical models of nonlinear uniform consensus II

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