Stability of Open Multi-Agent Systems and Applications to Dynamic Consensus

Franceschelli, Mauro
First
;
Frasca, Paolo
2021-01-01

Abstract

In this technical note we consider a class of multi-agent network systems that we refer to as Open Multi-Agent Systems (OMAS): in these multi-agent systems, an indefinite number of agents may join or leave the network at any time. Focusing on discrete-time evolutions of scalar agents, we provide a novel theoretical framework to study the dynamical properties of OMAS: specifically, we propose a suitable notion of stability and derive sufficient conditions for it. Our analysis regards the arrival/departure of agents as a disturbance: consistently, the stability conditions require the effect of arrivals/departures to be bounded (in a precise sense) and the OMAS to be contractive in the absence of arrivals/departures. In order to provide an example of application for this theory, we re-formulate the well-known Proportional Dynamic Consensus for Open Multi-Agent Systems and we study the stability properties of the resulting Open Proportional Dynamic Consensus algorithm.
2021
2020
Inglese
66
5
2326
2331
6
https://ieeexplore.ieee.org/document/9141417
Esperti anonimi
internazionale
scientifica
Multi-agent systems; Heuristic algorithms; Stability analysis; Trajectory; Power system stability; Time-varying systems; Power system dynamics
Franceschelli, Mauro; Frasca, Paolo
1.1 Articolo in rivista
info:eu-repo/semantics/article
1 Contributo su Rivista::1.1 Articolo in rivista
262
2
partially_open
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