Stability of Open Multiagent Systems and Applications to Dynamic Consensus

• 成果类型: Article
• 署名作者: Franceschelli, Mauro; Frasca, Paolo
• 署名单位: University of Cagliari; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Inria
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3009364
• 发表日期: 2021
• 页码: 2326-2331
• 关键词: Multi-agent systems; Heuristic algorithms; stability analysis; trajectory; Power system stability; Time-varying systems; Power system dynamics; Agents and autonomous systems; consensus; Cooperative control; Distributed control; open multiagent systems

摘要

In this article, we consider a class of multiagent network systems that we refer to as open multiagent systems (OMASs): in these multiagent 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 OMASs. 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, our stability conditions require the effect of arrivals/departures to be bounded (in a precise sense) and the OMASs to be contractive in the absence of arrivals/departures. In order to provide an example of application for this theory, we reformulate the well-known proportional dynamic consensus for OMASs, and we study the stability properties of the resulting open proportional dynamic consensus algorithm.