Cluster lag synchronisation in community networks via linear pinning control with local intermittent effect

In this article, cluster lag synchronisation in community networks without or with delay is considered. Several linear pinning controllers have been designed to achieve the synchronisation. In the designed controllers, the feedback control item is designed with intermittent effect. Both community networks with identical nodes and non-identical nodes are investigated. Based on the Lyapunov stability theory, several synchronisation criteria are derived. Some numerical examples are provided to illustrate the effectiveness of the obtained theoretical results.