Next Article in Journal
Numerical Investigation of Aligned Magnetic Flow Comprising Nanoliquid over a Radial Stretchable Surface with Cattaneo–Christov Heat Flux with Entropy Generation
Previous Article in Journal
Automatic Defect Inspection for Coated Eyeglass Based on Symmetrized Energy Analysis of Color Channels
Open AccessArticle

Nonlinear Consensus Protocol Modified from Doubly Stochastic Quadratic Operators in Networks of Dynamic Agents

1
Faculty of Information and Communication Technology, International Islamic University Malaysia, Kuala Lumpur 53100, Malaysia
2
Department of Natural and Applied Sciences, Community College, Majmaah University, Majmaah 11952, Saudi Arabia
3
King Abdulaziz City for Science and Technology (KACST), Riyadh 12354, Saudi Arabia
4
College of Information Technology, United Arab Emirates University, P.O. Box 15551, Al Ain, Abu Dhabi, UAE
5
Department of Information Technology, College of Computer Sciences and Information Technology College, Majmaah University, Majmaah 11952, Saudi Arabia
*
Authors to whom correspondence should be addressed.
Symmetry 2019, 11(12), 1519; https://doi.org/10.3390/sym11121519
Received: 20 August 2019 / Revised: 9 December 2019 / Accepted: 11 December 2019 / Published: 15 December 2019
This article explores nonlinear convergence to limit the effects of the consensus problem that usually occurs in multi-agent systems. Most of the existing research essentially considers the outline of linear protocols, using complex mathematical equations in various orders. In this work, however, we designed and developed an alternative nonlinear protocol based on simple and effective mathematical approaches. The designed protocol in this sense was modified from the Doubly Stochastic Quadratic Operators (DSQO) and was aimed at resolving consensus problems. Therefore, we called it Modified Doubly Stochastic Quadratic Operators (MDSQO). The protocol was derived in the context of coordinated systems to overcome the consensus issue related to multi-agent systems. In the process, we proved that by using the proposed nonlinear protocol, the consensus could be reached via a common agreement among the agents (average consensus) in a fast and easy fashion without losing any initial status. Moreover, the investigated nonlinear protocol of MDSQO realized the reaching consensus always as well as DSQO in some cases, which could not reach consensus. Finally, simulation results were given to prove the validity of the theoretical analysis. View Full-Text
Keywords: nonlinear protocol; consensus problem; multi-agent systems; doubly stochastic quadratic operators; average consensus nonlinear protocol; consensus problem; multi-agent systems; doubly stochastic quadratic operators; average consensus
Show Figures

Figure 1

MDPI and ACS Style

Abdulghafor, R.; Almotairi, S.; Almohamedh, H.; Turaev, S.; Almutairi, B. Nonlinear Consensus Protocol Modified from Doubly Stochastic Quadratic Operators in Networks of Dynamic Agents. Symmetry 2019, 11, 1519.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop