Synchronization of complex-valued neural network with sliding mode control

In this paper, the synchronization and module-phase synchronization of complex-valued neural network are studied with sliding mode controllers. Both inner synchronization in the same complex-valued neural network and outer synchronization of two complex-valued networks are considered. By separating the real part and imaginary part, a new complex-valued neural network model is provided and module-phase synchronization is defined. With an equivalent linear controller, sliding mode controllers are designed to get the synchronization and module-phase synchronization theorems. Finally, some numerical simulations are presented to show the robustness and effectiveness of our study.