Quasi-average consensus of wireless sensor networks under fixed and varying topologies with respect to sleeping-awaking method

The quasi-average consensus problem of high-order wireless sensor networks is studied in this paper. The related systems or networks considered in this paper are time continuous and linear and possess the leader-follower structures in which some sensors act as leader's role and the others are as followers with the locale information controlled. A topology with varying leaders and varying followers which arrives quasi-average mean square consensus is presented by applying the sleeping-awaking protocol to all of the leaders and all of the followers independently. Particulary, to fix the whole topology, we get the topology with fixed leaders and fixed followers which arrives quasi-average consensus via the general protocol. To fix all leaders of the topology, we get the topology with fixed leaders and varying followers which arrives quasi-average mean square consensus by applying the sleeping-awaking protocol to all of the followers. For above three topologies, some necessity and sufficiency conditions of the related consensus are obtained, respectively. To illustrate the effectiveness of the obtained results, a simulation example is presented finally.