Brief paper: Cluster formation in a time-varying multi-agent system

  • Authors:
  • Dirk Aeyels;Filip De Smet

  • Affiliations:
  • -;-

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2011

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Abstract

We introduce time-varying parameters in a multi-agent clustering model and we derive necessary and sufficient conditions for the occurrence of clustering behavior with respect to a given cluster structure. For periodically varying parameters the clustering conditions may be formulated in a similar way as for the time-invariant model. The results require the individual weights assigned to the agents to be constant. For time-varying weights we illustrate with an example that the obtained results can no longer be applied.