Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (2): 453-465.doi: 10.1016/S0252-9602(14)60019-9

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CONSENSUS OF THE SECOND-ORDER MULTI-AGENT SYSTEMS WITH AN ACTIVE LEADER AND COUPLING TIME DELAY

 GUO Wan-Li, XIAO Hai-Jun*, CHEN Shi-Hua   

  1. School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China; School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2012-09-18 Revised:2013-06-06 Online:2014-03-20 Published:2014-03-20
  • Contact: XIAO Hai-Jun,xiaohj@cug.edu.cn E-mail:guowanliff@163.com; xiaohj@cug.edu.cn;shcheng@whu.edu.cn
  • Supported by:

    The first author is supported by the National Nat-ural Science Foundation of China (11301492), the Ph.D. Programs Foundation of Ministry of Education of China (20130145120005), and the TianYuan Special Funds of the National Natural Science Foundation of China (11226134).

Abstract:

This article investigates the consensus problem of the second-order multi-agent systems with an active leader and coupling time delay in direct graph. One decentralized state control rule is constructed for each agent to track the active leader and it is proved that the proposed control scheme enables the consensus to be obtained when the adjacency
topology is fixed/switched. Simulation results show effectiveness of the proposed theoretical analysis.

Key words: Consensus problem, second-order multi-agent system, active leader, coupling time delay

CLC Number: 

  • 34D06
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