Average consensus of multi-agent systems with communication time delays and noisy links  

作　　者：孙永征 李望 阮炯 

机构地区：[1]School of Sciences,China University of Mining and Technology [2]School of Mathematical Sciences,Fudan University

出　　处：《Chinese Physics B》2013年第3期262-270,共9页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 61203304,61203055,and 11226150);the Fundamental Research Funds for the Central Universities,China (Grant Nos. 2011QNA26,2010LKSX04,and 2010LKSX09)

摘　　要：In this paper,we consider the average-consensus problem with communication time delays and noisy links.We analyze two different cases of coupling topologies：fixed and switching topologies.By utilizing the stability theory of the stochastic differential equations,we analytically show that the average consensus could be achieved almost surely with the perturbation of noise and the communication time delays even if the time delay is time-varying.The theoretical results show that multi-agent systems can tolerate relatively large time delays if the noise is weak,and they can tolerate relatively strong noise if the time delays are low.The simulation results show that systems with strong noise intensities yield slow convergence.In this paper,we consider the average-consensus problem with communication time delays and noisy links.We analyze two different cases of coupling topologies：fixed and switching topologies.By utilizing the stability theory of the stochastic differential equations,we analytically show that the average consensus could be achieved almost surely with the perturbation of noise and the communication time delays even if the time delay is time-varying.The theoretical results show that multi-agent systems can tolerate relatively large time delays if the noise is weak,and they can tolerate relatively strong noise if the time delays are low.The simulation results show that systems with strong noise intensities yield slow convergence.

关 键 词：average consensus multi-agent systems time delay white noise 

分 类 号：O231[理学—运筹学与控制论]