中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30510-030510.doi: 10.1088/1674-1056/22/3/030510

• GENERAL • 上一篇    下一篇

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

孙永征a b, 李望a, 阮炯b   

  1. a School of Sciences, China University of Mining and Technology, Xuzhou 221008, China;
    b School of Mathematical Sciences, Fudan University, Shanghai 200433, China
  • 收稿日期:2012-06-27 修回日期:2012-09-13 出版日期:2013-02-01 发布日期:2013-02-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61203304, 61203055, and 11226150) and the Fundamental Research Funds for the Central Universities, China (Grant Nos. 2011QNA26, 2010LKSX04, and 2010LKSX09).

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

Sun Yong-Zheng (孙永征)a b, Li Wang (李望)a, Ruan Jiong (阮炯)b   

  1. a School of Sciences, China University of Mining and Technology, Xuzhou 221008, China;
    b School of Mathematical Sciences, Fudan University, Shanghai 200433, China
  • Received:2012-06-27 Revised:2012-09-13 Online:2013-02-01 Published:2013-02-01
  • Contact: Sun Yong-Zheng E-mail:yzsung@gmail.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61203304, 61203055, and 11226150) and the Fundamental Research Funds for the Central Universities, China (Grant Nos. 2011QNA26, 2010LKSX04, and 2010LKSX09).

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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 the multi-agent systems can tolerate relatively large time delays if the noise is weak, and it 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

Abstract: 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 the multi-agent systems can tolerate relatively large time delays if the noise is weak, and it can tolerate relatively strong noise if the time delays are low. The simulation results show that systems with strong noise intensities yield slow convergence.

Key words: average consensus, multi-agent systems, time delay, white noise

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.40.Ca (Noise)