Pinning consensus analysis of multi-agent networks with arbitrary topology

doi:10.1088/1674-1056/22/9/090202

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.

Keywords: multi-agent pinning control consensus synchronization

Received: 27 November 2012
Revised: 27 January 2013
Accepted manuscript online:

PACS:	02.30.Ks	(Delay and functional equations)
	02.30.Yy	(Control theory)
	05.65.+b	(Self-organized systems)

Fund: 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).

Corresponding Authors: Ji Liang-Hao
E-mail: jilh77@yahoo.com.cn

Cite this article:

Ji Liang-Hao (纪良浩), Liao Xiao-Feng (廖晓峰), Chen Xin (陈欣) Pinning consensus analysis of multi-agent networks with arbitrary topology 2013 Chin. Phys. B 22 090202

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