中国物理B ›› 2013, Vol. 22 ›› Issue (9): 90202-090202.doi: 10.1088/1674-1056/22/9/090202

• GENERAL • 上一篇    下一篇

Pinning consensus analysis of multi-agent networks with arbitrary topology

纪良浩a b, 廖晓峰a, 陈欣c   

  1. a State Key Laboratory of Power Transmission Equipment & System Security and New Technology, College of Computer Science, Chongqing University, Chongqing 400044, China;
    b Chongqing key Laboratory of Computational Intelligence (Chongqing University of Posts and Telecommunications), Chongqing 400065, China;
    c School of Software Engineering, Chongqing University, Chongqing 400044, China
  • 收稿日期:2012-11-27 修回日期:2013-01-27 出版日期:2013-07-26 发布日期:2013-07-26
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 60973114 and 61170249), the Natural Science Foundation of Chongqing Science and Technology Commission, China (Grant Nos. 2009BA2024, cstc2011jjA40045, and cstc2013jcyjA0906), and the State Key Laboratory of Power Transmission Equipment & System Security and New Technology, Chongqing University, China (Grant No. 2007DA10512711206).

Pinning consensus analysis of multi-agent networks with arbitrary topology

Ji Liang-Hao (纪良浩)a b, Liao Xiao-Feng (廖晓峰)a, Chen Xin (陈欣)c   

  1. a State Key Laboratory of Power Transmission Equipment & System Security and New Technology, College of Computer Science, Chongqing University, Chongqing 400044, China;
    b Chongqing key Laboratory of Computational Intelligence (Chongqing University of Posts and Telecommunications), Chongqing 400065, China;
    c School of Software Engineering, Chongqing University, Chongqing 400044, China
  • Received:2012-11-27 Revised:2013-01-27 Online:2013-07-26 Published:2013-07-26
  • Contact: Ji Liang-Hao E-mail:jilh77@yahoo.com.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 60973114 and 61170249), the Natural Science Foundation of Chongqing Science and Technology Commission, China (Grant Nos. 2009BA2024, cstc2011jjA40045, and cstc2013jcyjA0906), and the State Key Laboratory of Power Transmission Equipment & System Security and New Technology, Chongqing University, China (Grant No. 2007DA10512711206).

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摘要： In this paper the pinning consensus of multi-agent networks with arbitrary topology is investigated. Based on the properties of M-matrix, some criteria of pinning consensus are established for the continuous multi-agent network and the results show that the pinning consensus of the dynamical system depends on the smallest real part of the eigenvalue of the matrix which is composed of the Laplacian matrix of the multi-agent network and the pinning control gains. Meanwhile, the relevant work for the discrete-time system is studied and the corresponding criterion is also obtained. Particularly, the fundamental problem of pinning consensus, that is, what kind of node should be pinned, is investigated and the positive answers to this question are presented. Finally, the correctness of our theoretical findings is demonstrated by some numerical simulated examples.

关键词: multi-agent, pinning control, consensus, synchronization

Abstract: In this paper the pinning consensus of multi-agent networks with arbitrary topology is investigated. Based on the properties of M-matrix, some criteria of pinning consensus are established for the continuous multi-agent network and the results show that the pinning consensus of the dynamical system depends on the smallest real part of the eigenvalue of the matrix which is composed of the Laplacian matrix of the multi-agent network and the pinning control gains. Meanwhile, the relevant work for the discrete-time system is studied and the corresponding criterion is also obtained. Particularly, the fundamental problem of pinning consensus, that is, what kind of node should be pinned, is investigated and the positive answers to this question are presented. Finally, the correctness of our theoretical findings is demonstrated by some numerical simulated examples.

Key words: multi-agent, pinning control, consensus, synchronization

中图分类号:  (Delay and functional equations)

  • 02.30.Ks
02.30.Yy (Control theory) 05.65.+b (Self-organized systems)