A nonlinear convergence consensus: extreme doubly stochastic quadratic operators for multi-agent systems

Rawad, Abdulghafor and Almotairi, Sultan and Almohamedh, Hamad and Almutairi, Badr and Bajhzar, Abdullah and Almutairi, d Sulaiman Sulmi (2020) A nonlinear convergence consensus: extreme doubly stochastic quadratic operators for multi-agent systems. Symmetry, 12 (4). pp. 1-19. ISSN 2073-8994

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Abstract

We investigate a novel nonlinear consensus from the extreme points of doubly stochastic quadratic operators (EDSQO), based on majorization theory and Markov chains for time-varying multi-agent distributed systems. We describe a dynamic system that has a local interaction network among agents. EDSQO has been applied for distributed agent systems, on a finite dimensional stochastic matrix. We prove that multi-agent systems converge at a center (common value) via the extreme waited value of doubly stochastic quadratic operators (DSQO), which are only 1 or 0 or 1/2 1 2 if the exchanges of each agent member has no selfish communication. Applying this rule means that the consensus is nonlinear and low-complexity computational for fast time convergence. The investigated nonlinear model of EDSQO follows the structure of the DeGroot linear (DGL) consensus model. However, EDSQO is nonlinear and faster convergent than the DGL model and is of lower complexity than DSQO and cubic stochastic quadratic operators (CSQO). The simulation result and theoretical proof are illustrated.

Item Type:	Article (Journal)
Additional Information:	8638/84595
Uncontrolled Keywords:	: nonlinear consensus; multi-agent systems; extreme doubly stochastic quadratic operators; finite dimensional stochastic matrix; convergence
Subjects:	T Technology > T Technology (General) > T10.5 Communication of technical information
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Information and Communication Technology > Department of Computer Science Kulliyyah of Information and Communication Technology > Department of Computer Science Kulliyyah of Information and Communication Technology Kulliyyah of Information and Communication Technology
Depositing User:	Dr. Rawad Abdulghafor
Date Deposited:	12 Nov 2020 15:51
Last Modified:	12 Nov 2020 15:51
URI:	http://irep.iium.edu.my/id/eprint/84595

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