Pinning cluster synchronization for multiple subnetworks of complex networks with nonidentical nodes and stochastic disturbances

This paper investigates the cluster synchronization on multiple subnetworks of complex networks with nonidentical nodes and stochastic disturbances. There are two main differences of this paper with previous works, one is that pinning control scheme are also applied in leader's networks while that in previous works is not, which can eliminates the influence of coupling between different clusters. The other is that we use the true value of state variable rather than the same-order infinitesimal of them in discussing followers network cluster synchronization. By using pinning control technique, some sufficient conditions are obtained to guarantee global cluster synchronization for this network framework. Finally, a numerical simulation is given to verify the effectiveness of the obtained theoretical results.