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Keywords:

  • cliques;
  • quasi-average value;
  • quasi-average value consensus;
  • quasi-average mean square consensus

SUMMARY

The quasi-average mean square consensus problem for wireless sensor networks is studied in this paper. The related networks considered are time continuous and linear, and possess the leader–follower structures in which some sensors act as leaders and the others act as followers, with the locale information controlled. Three different leader–follower structures are proposed in this paper. The first one is the topology with fixed leaders and varying followers which arrives at a quasi-average mean square consensus by applying the sleeping-awaking method to all cliques of the followers. The second one is the topology with fixed leaders and fixed followers which arrives at a quasi-average value consensus via the general protocol. The third one is the topology with varying leaders and fixed followers which arrives at a quasi-average mean square consensus by applying the sleeping-awaking method to all cliques of the leaders. For mentioned three topologies, some necessity and sufficiency conditions of the related consensus are obtained, respectively. To illustrate the effectiveness of the obtained results, some numerical examples are presented finally. Copyright © 2012 John Wiley & Sons, Ltd.