Convergence to Consensus by General Averaging

  • Dirk A. Lorenz
  • Jan Lorenz
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 389)


We investigate sufficient conditions for a discrete nonlinear non-homogeneous dynamical system to converge to consensus. We formulate a theorem which is based on the notion of averaging maps. Further on, we give examples that demonstrate that the theory of convergence to consensus is still not complete.


Convex Hull Multiagent System General Average Opinion Dynamics Global Attractivity 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Dirk A. Lorenz
    • 1
  • Jan Lorenz
    • 2
  1. 1.Institute for Analysis and AlgebraTU BraunschweigBraunschweigGermany
  2. 2.Chair of Systems Design, Department of Management, Technology, and EconomicsETH ZürichZürichSwitzerland

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