自动化学报2026，Vol.52Issue(6)：1201-1208,8.DOI:10.16383/j.aas.c250627
矩阵权重网络上混杂多智能体系统的随机一致性
Randomized Consensus of Hybrid Multiagent Systems on Matrix-Weighted Networks
摘要
Abstract
This paper investigates the randomized consensus problem for hybrid multiagent systems on matrix-weighted networks.For such systems,this paper proposes a distributed randomized consensus protocol based on sampled information,which employs an asynchronous pairwise update mechanism to effectively reduce communica-tion and computational demand.By leveraging expected graph theory and stochastic matrix stability analysis,ne-cessary and sufficient conditions are derived for the system to achieve consensus in expectation,which are related to the sampling period and the null space of the expected Laplacian matrix.Specifically,when the feedback gains are identical,necessary and sufficient conditions are provided for achieving randomized average consensus.Furthermore,by analyzing the second-moment convergence of the error system and using Markov's inequality,an analytical up-per bound for the ϵ-consensus time is derived to characterize its convergence speed.Finally,numerical simulations validate the feasibility of the proposed protocol and the effectiveness of the theoretical results.关键词
随机一致性/混杂多智能体系统/矩阵权重/ϵ-一致性时间/随机算法Key words
randomized consensus/hybrid multiagent systems/matrix-weighted/ϵ-consensus time/randomized al-gorithms引用本文复制引用
妙锁霞,巩勇杰,苏厚胜..矩阵权重网络上混杂多智能体系统的随机一致性[J].自动化学报,2026,52(6):1201-1208,8.基金项目
国家自然科学基金(62425602,62263024,U25B2078,62561160100),江西省自然科学基金(20252BAC240190),湖北省自然科学基金创新群体项目(2025AFA027),江西水利电力大学科研启动基金(2023kyqd021)资助 Supported by National Natural Science Foundation of China(62425602,62263024,U25B2078,62561160100),Jiangxi Provin-cial Natural Science Foundation(20252BAC240190),Natural Sci-ence Foundation of Hubei Province of China(2025AFA027),and Scientific Research Startup Foundation Project of Jiangxi Uni-versity of Water Resources and Electric Power(2023kyqd021) （62425602,62263024,U25B2078,62561160100）
