中国物理B ›› 2009, Vol. 18 ›› Issue (10): 4217-4221.doi: 10.1088/1674-1056/18/10/022

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Improving consensual performance of multi-agent systems in weighted scale-free networks

许新建1, 祁伟2, 汪映海2   

  1. (1)Department of Mathematics, Shanghai University, Shanghai 200444, China; (2)Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
  • 收稿日期:2009-03-23 修回日期:2009-07-06 出版日期:2009-10-20 发布日期:2009-10-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10775060 and 10805033), the Doctoral Education Foundation of National Education Committee, and the Natural Science Foundation of Gansu Province.

Improving consensual performance of multi-agent systems in weighted scale-free networks

Qi Wei(祁伟)a)†, Xu Xin-Jian(许新建)b), and Wang Ying-Hai(汪映海)a)†   

  1. a Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China; b Department of Mathematics, Shanghai University, Shanghai 200444, China
  • Received:2009-03-23 Revised:2009-07-06 Online:2009-10-20 Published:2009-10-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10775060 and 10805033), the Doctoral Education Foundation of National Education Committee, and the Natural Science Foundation of Gansu Province.

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摘要： This paper studies consensus problems in weighted scale-free networks of asymmetrically coupled dynamical units, where the asymmetry in a given link is determined by the relative degree of the involved nodes. It shows that the asymmetry of interactions has a great effect on the consensus. Especially, when the interactions are dominant from higher- to lower-degree nodes, both the convergence speed and the robustness to communication delay are enhanced.

Abstract: This paper studies consensus problems in weighted scale-free networks of asymmetrically coupled dynamical units, where the asymmetry in a given link is determined by the relative degree of the involved nodes. It shows that the asymmetry of interactions has a great effect on the consensus. Especially, when the interactions are dominant from higher- to lower-degree nodes, both the convergence speed and the robustness to communication delay are enhanced.

Key words: consensus problems, multi-agent systems, scale-free networks

中图分类号:  (Telecommunications: signal transmission and processing; communication satellites)

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