Mathematical models of nonlinear uniform consensus II

Saburov, Mansoor and Saburov, Khikmat (2018) Mathematical models of nonlinear uniform consensus II. Journal of Applied Nonlinear Dynamics, 7 (1). ISSN 2164-6457 E-ISSN 2164-6473

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Abstract

This paper is a continuation of our previous studies on nonlinear consensus. We have considered a 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. Some numerical results are also presented to support our theoretical results.

Item Type:	Article (Journal)
Additional Information:	6769/64769
Uncontrolled Keywords:	Mathematical models; Nonlinear uniform consensus II
Subjects:	Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General)
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science
Depositing User:	Dr Mansoor Saburov
Date Deposited:	11 Jul 2018 16:22
Last Modified:	04 Oct 2018 11:31
URI:	http://irep.iium.edu.my/id/eprint/64769

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