Consensus of multi-agent linear dynamic systems via impulsive control protocols

  • Authors:

  • Haibo Jiang;Jianjiang Yu;Caigen Zhou

  • Affiliations:

  • Faculty of Science, Jiangsu University, Zhenjiang, 212013 China,School of Mathematics, Yancheng Teachers University, Yancheng, 224051 China;School of Information Science and Technology, Yancheng Teachers University, Yancheng, 224002 China;School of Information Science and Technology, Yancheng Teachers University, Yancheng, 224002 China

  • Venue:
  • International Journal of Systems Science
  • Year:
  • 2011

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Abstract

In this article, we introduce impulsive control protocols for multi-agent linear dynamic systems. First, an impulsive control protocol is designed for network with fixed topology based on the local information of agents. Then sufficient conditions are given to guarantee the consensus of the multi-agent linear dynamic systems by the theory of impulsive systems. Furthermore, how to select the discrete instants and impulsive matrices is discussed. The case that the topologies of networks are switching is also considered. Numerical simulations show the effectiveness of our theoretical results.