Analysis and adaptive control for lag H_∞ synchronization of coupled reaction–diffusion neural networks

In this paper, we respectively discuss the lag H_∞ synchronization of coupled reaction–diffusion neural networks with state coupling and spatial diffusion coupling. Based on the inequality techniques and Lyapunov functional method, some lag H_∞ synchronization criteria for these two coupled reaction–diffusion neural networks are obtained by exploiting the designed state feedback controllers. Furthermore, two adaptive strategies for ensuring the lag H_∞ synchronization of coupled reaction–diffusion neural networks with state coupling and spatial diffusion coupling are also developed. Finally, the effectiveness of the proposed lag H_∞ synchronization criteria is verified by two numerical examples.