Nonlinear uniform consensus: a polynomial protocol

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...

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Bibliographic Details
Main Authors: Saburov, Mansoor, Saburov, Khikmat
Format: Conference or Workshop Item
Language:English
Published: 2014
Subjects:
Online Access:http://irep.iium.edu.my/39880/1/ICCEMS14_--_IREP.pdf
http://irep.iium.edu.my/39880/
http://www.iccems.com/cms/
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Institution: Universiti Islam Antarabangsa Malaysia
Language: English
Description
Summary: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.