The lag and module-phase synchronization of complex-valued neural networks with mixed delays

Abstract

Abstract The lag synchronization and lag module-phase synchronization of complex-valued neural networks(CVNNs) with mixed delays are studied. The driving and response models of CVNNs with mixed-time delay are constructed. The lag and module-phase error systems of CVNNs are derived. The adaptive controller is designed and Lyapunov function is constructed. The effective conditions of lag and lag module-phase synchronization of CVNNs are obtained respectively. Finally, the results of Simulation experiment show the stability of system can be ensured, it illustrates that the strategy is reliable.