Consensus Analysis of Wireless Multi-Agent Systems Over Fading Channels

IEEE Wireless Communications Letters, vol. 10, pp. 1528–1531

Abstract

In this letter, the probability of reaching consensus in wireless multi-agent systems (WMASs) is introduced. Starting with the connectivity probability of random graphs, and considering link outages between agents, we obtain the probability expression that a WMAS with N agents reaches consensus. We validate the obtained exact expression via simulation results. Furthermore, we show that the corresponding diversity order is N -1, hence increasing the number of agents will contribute towards the likelihood of consensus, despite the increased communication need between each agent. Finally, we observe that the consensus speed is highly dependent on the signal-to-noise ratio (SNR) level and the number of agents in a WMAS.

Authors 6

1. Ezgi Oral

   Boğaziçi University

   Affiliation as printed

   Department of Electrical and Electronics Engineering, Bogazici University, Istanbul, Turkey

2. Anke Schmeink Aachen ISEK Research and Teaching Area

   RWTH Aachen University

   Affiliation as printed

   ISEK Research and Teaching Area, RWTH Aachen University, Aachen, Germany

3. Guido Dartmann

   Trier University of Applied Sciences

   Affiliation as printed

   Research Group Distributed System, Trier University of Applied Sciences, Trier, Germany

4. Gerd Ascheid Aachen Institute for Communication Technologies and Embedded Systems

   RWTH Aachen University

   Affiliation as printed

   Institute for Communication Technologies and Embedded Systems, RWTH Aachen University, Aachen, Germany

5. Alí Emre Pusane

   Boğaziçi University

   Affiliation as printed

   Department of Electrical and Electronics Engineering, Bogazici University, Istanbul, Turkey

6. Güneş Karabulut Kurt

   Istanbul Technical University

   Affiliation as printed

   Department of Electronics and Communication Engineering, Istanbul Technical University, Istanbul, Turkey