Average consensus for directed networks of multi-agent with time-varying delay

  • Authors:

  • Tiecheng Zhang;Hui Yu

  • Affiliations:

  • Institute of Nonlinear and Complex Systems, College of Science, China Three Gorges University, Hubei, China;Institute of Nonlinear and Complex Systems, College of Science, China Three Gorges University, Hubei, China

  • Venue:
  • ICSI'10 Proceedings of the First international conference on Advances in Swarm Intelligence - Volume Part I
  • Year:
  • 2010

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Abstract

The average consensus in directed network of multi-agent with both switching topology and time-varying delay is studied An orthogonal matrix is introduced to change the initial system into a reduced dimensional system Based on linear matrix inequalities (LMIs) technique, a sufficient condition about average consensus problem is proposed A novel form in terms of LMIs is obtained via taking the relationship between the terms in the Newton-Leibniz formula into account Because some free weighted matrices are employed in the analysis processing and are selected through solving LMIs appropriately, our method is less conservative and more general Finally, simulation examples are given to demonstrate the effectiveness of the theoretical results.