Reaching nonlinear consensus via non-autonomous polynomial stochastic operators

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.

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Abstract

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.

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	6769/57120
Uncontrolled Keywords:	Autonomous, agents Stochastic systems
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:	02 Jun 2017 13:51
Last Modified:	18 Aug 2019 15:29
URI:	http://irep.iium.edu.my/id/eprint/57120

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