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.
J. Frankl. Inst.