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Nonlinear uniform consensus: a polynomial protocol

Saburov, Mansoor and Saburov, Khikmat (2014) Nonlinear uniform consensus: a polynomial protocol. In: The 3rd International Conference on Computer Engineering and Mathematical Sciences (ICCEMS 2014), 4-5 Dec 2014, Langkawi, Kedah. (Unpublished)

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We provide a general 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.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Additional Information: 6769/39880
Uncontrolled Keywords: Multi-agent system, Opinion sharing dynamics, Multidimensional stochastic hyper-matrix, Polynomial stochastic operator, Uniform consensus
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: 16 Dec 2014 11:59
Last Modified: 23 May 2018 14:11
URI: http://irep.iium.edu.my/id/eprint/39880

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