Reaching consensus via polynomial stochastic operators: A general study

In this paper, we consider a nonlinear protocol for a structured time-varying synchronous multi-agent system in which an opinion sharing dynamics is presented by non-autonomous polynomial stochastic operators associated with high-order stochastic hyper-matrices. We show that the proposed nonlinear p...

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Main Authors: Saburov, Mansoor, Saburov, Khikmat
Format: Conference or Workshop Item
Language:English
English
Published: Springer 2017
Subjects:
Online Access:http://irep.iium.edu.my/62987/
http://irep.iium.edu.my/62987/
http://irep.iium.edu.my/62987/
http://irep.iium.edu.my/62987/2/62987%20Reaching%20Consensus%20via%20Polynomial.pdf
http://irep.iium.edu.my/62987/3/62987%20Reaching%20Consensus%20via%20Polynomial%20SCOPUS.pdf
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recordtype eprints
spelling iium-629872018-06-26T03:55:36Z http://irep.iium.edu.my/62987/ Reaching consensus via polynomial stochastic operators: A general study Saburov, Mansoor Saburov, Khikmat QA Mathematics In this paper, we consider a nonlinear protocol for a structured time-varying synchronous multi-agent system in which an opinion sharing dynamics is presented by non-autonomous polynomial stochastic operators associated with high-order stochastic hyper-matrices. We show that the proposed nonlinear protocol generates the Krause mean process. We provide a criterion to establish a consensus in the multi-agent system under the proposed nonlinear protocol Springer 2017 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/62987/2/62987%20Reaching%20Consensus%20via%20Polynomial.pdf application/pdf en http://irep.iium.edu.my/62987/3/62987%20Reaching%20Consensus%20via%20Polynomial%20SCOPUS.pdf Saburov, Mansoor and Saburov, Khikmat (2017) Reaching consensus via polynomial stochastic operators: A general study. In: 22nd International Conference on Difference Equations and Applications (ICDEA 2016), 24-29 July 2016, Osaka; Japan. https://link.springer.com/chapter/10.1007/978-981-10-6409-8_14 10.1007/978-981-10-6409-8_14
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
spellingShingle QA Mathematics
Saburov, Mansoor
Saburov, Khikmat
Reaching consensus via polynomial stochastic operators: A general study
description In this paper, we consider a nonlinear protocol for a structured time-varying synchronous multi-agent system in which an opinion sharing dynamics is presented by non-autonomous polynomial stochastic operators associated with high-order stochastic hyper-matrices. We show that the proposed nonlinear protocol generates the Krause mean process. We provide a criterion to establish a consensus in the multi-agent system under the proposed nonlinear protocol
format Conference or Workshop Item
author Saburov, Mansoor
Saburov, Khikmat
author_facet Saburov, Mansoor
Saburov, Khikmat
author_sort Saburov, Mansoor
title Reaching consensus via polynomial stochastic operators: A general study
title_short Reaching consensus via polynomial stochastic operators: A general study
title_full Reaching consensus via polynomial stochastic operators: A general study
title_fullStr Reaching consensus via polynomial stochastic operators: A general study
title_full_unstemmed Reaching consensus via polynomial stochastic operators: A general study
title_sort reaching consensus via polynomial stochastic operators: a general study
publisher Springer
publishDate 2017
url http://irep.iium.edu.my/62987/
http://irep.iium.edu.my/62987/
http://irep.iium.edu.my/62987/
http://irep.iium.edu.my/62987/2/62987%20Reaching%20Consensus%20via%20Polynomial.pdf
http://irep.iium.edu.my/62987/3/62987%20Reaching%20Consensus%20via%20Polynomial%20SCOPUS.pdf
first_indexed 2023-09-18T21:29:17Z
last_indexed 2023-09-18T21:29:17Z
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