Synchronization in Arrays of Delay-Coupled Neural Networks via Adaptive Control

In this paper, we firstly proposed a general complex dynamical network consisting of N nonlinearly coupled identical neural networks with coupling delays. Many studied coupled systems are special cases of this model. Synchronization in such dynamical network is studied. By using the Lyapunov stability theorem, some simple controllers with updated feedback strength are introduced in to make the network synchronized. The update gain Upsi_i can be properly chosen to make some important nodes synchronized quicker or slower than other nodes. One example is given to verify the validity and effectiveness of the proposed control scheme.