JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (1): 65-70.doi: 10.6040/j.issn.1671-9352.0.2013.309

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Fast stochastic consensus of leader-following multi-agent network

Shu-ling1, SHI Hong-jun2, LIU Feng2   

  1. 1. Jiangsu Xuzhou Medicine Vocational School, Xuzhou 221116, Jiangsu, China;
    2. School of Science, China University of Mining and Technology, Xuzhou 221008, Jiangsu, China
  • Received:2013-06-24 Online:2014-01-20 Published:2014-01-15

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Abstract:

By using the finite-time stability theory of stochastic differential equations and adding a simple protocol, it was proved that the leader-following multi-agent network can reach the consensus in finite time with probability one. The effects of control parameters and noise strength on the convergence speed and time were also analyzed. Furthermore, numerical examples were provided to illustrate the effectiveness of the theoretical results.

Key words: finite-time consensus, multi-agent network, noise

CLC Number: 

  • TP13
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