Consensus control of stochastic multi-agent systems: a survey

Abstract

In this article, we provide a review of the consensus controlproblem for stochastic multi-agent systems (MASs). Recent advancesare surveyed according to the method of occurrence of the stochasticity of the MASs. First, the consensus problem is discussed for MASs, whereinindividual agents are corrupted by random noises, i.e., thedynamics of agents involve stochasticity in process and/ormeasurement equations. Both additive noises and multiplicativenoises are surveyed in detail and special attention is paid to theMASs whose dynamics are governed by Itodifferential equations.Moreover, particular effort is devoted to presenting the latestprogress on the consensus problem for a special type of stochasticMAS with Markovian jump parameters. Subsequently, the relevant research issummarized for MASs with noisy communication environments andstochastic sampling. Further, we provide a systematic review ofthe consensus problems for MASs whose communication topologyvaries randomly in the process of data propagation among agents.Finally, conclusions are drawn and several potential future researchdirections are outlined.