A Fast Non-Linear Symmetry Approach for Guaranteed Consensus in Network of Multi-Agent Systems

Sultan Almotairi,Rawad Abdulghafor

doi:10.3390/sym12101692

Sultan Almotairi, Rawad Abdulghafor

Open Access

https://doi.org/10.3390/sym12101692

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Abstract

There has been tremendous work on multi-agent systems (MAS) in recent years. MAS consist of multiple autonomous agents that interact with each order to solve a complex problem. Several applications of MAS can be found in computer networks, smart grids, and the modeling of complex systems. Despite numerous benefits, a significant challenge for MAS is achieving a consensus among agents in a shared target task, which is difficult without applying certain mathematical equations. Non-linear models offer better possibility of resolving consensus for MAS; however, existing non-linear models are considerably complicated and present no guarantees for achieving consensus. This paper proposes a non-linear mathematical model of semi symmetry quadratic operator (SSQO) in order to resolve the issue of consensus in networks of MAS. The model is based on stochastic quadratic operator theory, with added new notations. An important feature for the proposed model is low complexity, fast consensus, and a guaranteed capability to reach a consensus. We present an evaluation of the proposed SSQO model and comparison with other existing models. We demonstrate that an average consensus can be achieved with our model in addition to the emulation effects for the MAS consensus.

Highlights

In the last decade, increased attention was directed towards the coordination and control of multi-agent systems (MAS), which appeared in various situations, such as wireless sensor networks and team cooperation.New studies have recently emerged that focus on the problems related to consensus in MAS [1].The issue of consensus is considered to be a central problem in multi-output multi-input systems (MIMOs) that have many applications in technology [2]
This work aims to study the properties of semi symmetry quadratic operator (SSQO) convergence
New rules for the transition matrix of quadratic stochastic operators (QSO) are to be included in order to produce a less complicated model to achieve the consensus for MAS

Summary

Introduction

The issue of consensus is considered to be a central problem in multi-output multi-input systems (MIMOs) that have many applications in technology [2] In this context, the consensus is defined as the way in which individual group members agree to cooperate and generate consensus among themselves in order to achieve one objective at the same time [3]. New rules for the transition matrix of QSO are to be included in order to produce a less complicated model to achieve the consensus for MAS. In this case, the statuses of individual members

Objectives

Discussion

Conclusion