Stochastic Consensus Control of Multi-agent Systems under General Noises and Delays

Abstract

AbstractThis chapter is devoted to studying the consensus control of continuous-time multi-agents systems with general noises and delays. By using the stochastic analysis, matrix theory, and algebraic graph theory, conditions on the stochastic approximation-type protocol are obtained for mean square and almost sure weak and strong consensus under the general martingale noises, which is a distinctive feature of this work. For the delay-free case, the necessary and sufficient conditions are given for the mean square weak consensus, and sufficient conditions are given for the almost sure weak consensus. For the delay case, the precondition on the delay, control gain function, and the topology graph is presented. Under this precondition, the sufficient conditions and necessary conditions for stochastic weak and strong consensus are obtained.KeywordsMulti-agent systemNoiseDelayStochastic consensus