Reach a nonlinear consensus for MAS via doubly stochastic quadratic operators

Abdulghafor, Rawad Abdulkhaleq Abdulmolla and Turaev, Sherzod and M.Khedher, Akram M. Zeki and Alshaikhli, Imad Fakhri Taha (2017) Reach a nonlinear consensus for MAS via doubly stochastic quadratic operators. International Journal of Control, 90 (7). pp. 1-29. ISSN 0020-7179 E-ISSN 1366-5820

	PDF - Published Version Restricted to Registered users only Download (2MB) | Request a copy
	PDF (SCOPUS) - Supplemental Material Restricted to Registered users only Download (70kB) | Request a copy
Preview	PDF Download (378kB) | Preview

Abstract

This technical note addresses the new nonlinear protocol class of doubly stochastic quadratic operators (DSQOs) for coordination of consensus problem in multi-agent systems (MAS). We derive the conditions for ensuring that every agent reaches consensus on a desired rate of the group’s decision where the group decision value in its agent’s initial statuses varies. Besides that, we investigate a non-linear protocol sub-class of extreme DSQO (EDSQO) to reach a consensus for MAS to a common value with nonlinear low-complexity rules and fast time convergence if the interactions for each agent are not selfish. In addition, to extend the results to reach a consensus and to avoid the selfish case we specify a general class of DSQO for reaching a consensus under any given case of initial states. The case that MAS reach a consensus by DSQO is if each member of the agent group has positive interactions of DSQO (PDSQO) with the others. The convergence of both EDSQO and PDSQO classes is found to be directed towards the centre point. Finally, experimental simulations are given to support the analysis from theoretical aspect.

Item Type:	Article (Journal)
Additional Information:	6846/57001
Uncontrolled Keywords:	Consensus problem; multi-agent systems; doubly stochastic quadratic operators; extreme doubly stochastic quadratic operators
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science
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
Depositing User:	Dr. Sherzod Turaev
Date Deposited:	23 May 2017 11:16
Last Modified:	16 May 2019 08:29
URI:	http://irep.iium.edu.my/id/eprint/57001

Actions (login required)

View Item