A Scalable Approach for Consensus Stability Analysis of a Large-Scale Multiagent System With Single Delay

• 成果类型: Article
• 署名作者: Gomez, Marco A.; Ramirez, Adrian
• 署名单位: Universidad de Guanajuato; Consejo Nacional de Ciencia y Tecnologia (CONACyT); Instituto Potosino Investigacion Cientifica y Tecnologica
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3203355
• 发表日期: 2023
• 页码: 4375-4382
• 关键词: CONSENSUS; multiagent systems (MAS); polytopes of quasipolynomials; STABILITY; time-delay systems

摘要

This note presents a scalable approach for consensus stability analysis of a general class of large-scale multiagent system (MAS) with single delay considering directed and undirected graphs. It is shown that, under certain conditions satisfied by several protocols reported in the literature, consensus in MAS can be ensured by studying a set comprising a small number of quasipolynomials of reduced complexity. Specifically, if the graph is undirected, it suffices to guarantee the stability of only two quasipolynomials in the set. If the graph is directed, then the set consists of a family of quasipolynomials, possibly two as well, associated with a polytope enclosing the eigenvalues of a Laplacian-like matrix. The approach renders the number of agents in the network irrelevant for consensus stability analysis, as illustrated using two consensus protocols as benchmark.