Nonperiodically intermittent pinning synchronization of complex-valued complex networks with non-derivative and derivative coupling

Abstract Considering the fact that time delays in practical systems are unavoidable and cannot be ignored, this paper studies nonperiodically intermittent pinning synchronization of delayed complex-valued complex dynamical networks with derivative coupling and parameters perturbation, in which the considered node systems have bounded parametric uncertainties. Different from previous works, the time-varying delays exist in the complex-valued node dynamics and non-derivative coupling forms. A nonperiodically intermittent pinning control scheme is proposed to stabilize the error system of drive–response complex-valued dynamical networks. By taking the advantage of Lyapunov method in complex field and utilizing inequality technology, firstly, the sufficient condition is derived, where the free time delay is considered; secondly, the synchronization condition is obtained, where we take into account the constrained time delay. Finally, numerical examples are given to illustrate the correctness of the obtained results and the theoretical analysis.