Reaching consensus via polynomial stochastic operators: A general study

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.

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Abstract

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

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	6769/62987
Uncontrolled Keywords:	Krause mean process, Markov chain with memory,Stochastic hyper-matrices,Polynomial stochastic operators, Consensus
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science
Depositing User:	Dr Mansoor Saburov
Date Deposited:	23 Mar 2018 10:45
Last Modified:	26 Jun 2018 11:55
URI:	http://irep.iium.edu.my/id/eprint/62987

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