Output feedback control of cluster synchronization for Lur'e networks with packet dropouts

This paper studies the issue of cluster synchronization for a kind of time-varying delay coupled Lur'e networks with data packet dropouts and stochastic disturbances. By imposing output feedback controllers to the networks, the nodes in each cluster which directly connected with the nodes in other clusters are controlled. Besides, Bernoulli stochastic processes are used to model the packet dropouts phenomena during the data transmission. Several criteria are obtained to ensure the achievement of the cluster synchronization by using S-procedure and Lyapunov stability theorem. In addition, a numerical example is presented to illustrate the validity of theoretical analysis.