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Chin. Phys. B, 2008, Vol. 17(11): 4137-4141    DOI: 10.1088/1674-1056/17/11/029
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Consensus problems of multi-agent systems with noise perturbation

Sun Yong-Zheng (孙永征)ab, Ruan Jiong (阮 炯)a
a School of Mathematical Science, Fudan University, Shanghai 200433, China; b School of Sciences, China University of Mining and Technology, Xuzhou 221008, China
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.
Keywords:  consensus problems      multi-agent systems      white noise  
Received:  09 April 2008      Revised:  08 May 2008      Accepted manuscript online: 
PACS:  05.40.Ca (Noise)  
  02.30.Hq (Ordinary differential equations)  
  02.50.Cw (Probability theory)  
  02.50.Fz (Stochastic analysis)  
  02.60.Cb (Numerical simulation; solution of equations)  

Cite this article: 

Sun Yong-Zheng (孙永征), Ruan Jiong (阮 炯) Consensus problems of multi-agent systems with noise perturbation 2008 Chin. Phys. B 17 4137

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