中国物理B ›› 2008, Vol. 17 ›› Issue (11): 4137-4141.doi: 10.1088/1674-1056/17/11/029

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Consensus problems of multi-agent systems with noise perturbation

孙永征1, 阮 炯2   

  1. (1)School of Mathematical Science, Fudan University, Shanghai 200433, China;School of Sciences, China University of Mining and Technology, Xuzhou 221008, China; (2)School of Sciences, China University of Mining and Technology, Xuzhou 221008, China
  • 收稿日期:2008-04-09 修回日期:2008-05-08 出版日期:2008-11-20 发布日期:2008-11-20

Consensus problems of multi-agent systems with noise perturbation

Sun Yong-Zheng (孙永征)ab, Ruan Jiong (阮 炯)a   

  1. a School of Mathematical Science, Fudan University, Shanghai 200433, China; b School of Sciences, China University of Mining and Technology, Xuzhou 221008, China
  • Received:2008-04-09 Revised:2008-05-08 Online:2008-11-20 Published:2008-11-20

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摘要： In this paper, by using the stability theory of stochastic differential equations, the average-consensus problem with noise perturbation is investigated. It is analytically proved that the consensus could be achieved with a probability of one. Furthermore, numerical examples are taken to illustrate the effectiveness of the theoretical result.

关键词: consensus problems, multi-agent systems, white noise

Abstract: In this paper, by using the stability theory of stochastic differential equations, the average-consensus problem with noise perturbation is investigated. It is analytically proved that the consensus could be achieved with a probability of one. Furthermore, numerical examples are taken to illustrate the effectiveness of the theoretical result.

Key words: consensus problems, multi-agent systems, white noise

中图分类号:  (Noise)

  • 05.40.Ca
02.30.Hq (Ordinary differential equations) 02.50.Cw (Probability theory) 02.50.Fz (Stochastic analysis) 02.60.Cb (Numerical simulation; solution of equations)