Pinning synchronization of directed networks with delayed complex-valued dynamical nodes and mixed coupling via intermittent control

Abstract This paper considers the synchronization problem for directed delayed complex-valued dynamical networks with mixed coupling by pinning some nonperiodic intermittent controllers on the network nodes. Each isolated node is described by a delayed complex-valued dynamical system, and mixed coupling consists of current-state coupling and distributed-delay coupling. By establishing an extended delayed differential inequality, a general criterion is established to ensure the complex-valued dynamical networks under study globally exponentially synchronizes with a target trajectory. Furthermore, by using the matrix blocking method and Schur complement, some low-dimensional synchronization criteria are derived, based on which an admissible set of control parameters is obtained. Finally, the effectiveness of the theoretical analysis is verified through two illustrative examples.