Cluster formation in a time-varying multi-agent system

  • Aeyels D
  • De Smet F
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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. © 2011 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Pattern generation
  • Self-organizing systems
  • Synchronization
  • Time-varying systems

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Authors

  • Dirk Aeyels

  • Filip De Smet

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