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Chin. Phys. B, 2008, Vol. 17(10): 3531-3535    DOI: 10.1088/1674-1056/17/10/001
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Consensus protocol for multi-agent continuous systems

Tan Fu-Xiao(谭拂晓)a)†, Guan Xin-Ping(关新平)a), and Liu De-Rong(刘德荣)b)
a College of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China; b Department of the Electrical and Computer Engineering, University of Illinois at Chicago, U.S.A
Abstract  Based on the algebraic graph theory, the networked multi-agent continuous systems are investigated. Firstly, the digraph (directed graph) represents the topology of a networked system, and then a consensus convergence criterion of system is proposed. Secondly, the issue of stability of multi-agent systems and the consensus convergence problem of information states are all analysed. Furthermore, the consensus equilibrium point of system is proved to be global and asymptotically reach the convex combination of initial states. Finally, two examples are taken to show the effectiveness of the results obtained in this paper.
Keywords:  multi-agent systems      consensus protocol      graph Laplacian      asymptotically stable  
Received:  31 October 2007      Revised:  11 December 2007      Accepted manuscript online: 
PACS:  02.10.Ox (Combinatorics; graph theory)  
  02.10.Ab (Logic and set theory)  
  02.10.Yn (Matrix theory)  
  02.40.Re (Algebraic topology)  
Fund: Project supported by the National Science Fund for distinguished Young Scholars of China (Grant No 60525303) and the Specialized Research Fund for the Doctoral Program of High Education of China (Grant No 20050216001).

Cite this article: 

Tan Fu-Xiao(谭拂晓), Guan Xin-Ping(关新平), and Liu De-Rong(刘德荣) Consensus protocol for multi-agent continuous systems 2008 Chin. Phys. B 17 3531

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