Abstract
Abstract 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.
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