Global Synchronization of Delayed Reaction-Diffusion Neural Networks via Impulsive Control

This paper presents a new impulsive synchronization criterion of two identical reaction-diffusion neural networks with discrete and unbounded distributed delays. The new criterion is established by applying an impulse-time-dependent Lyapunov functional combined with the use of a new type of integral inequality for treating the reaction-diffusion terms. The impulse-time-dependent feature of the proposed Lyapunov functional can capture more hybrid dynamical behaviors of the impulsive reaction-diffusion neural networks than the conventional impulse-time-independent Lyapunov functions/ functionals, while the new integral inequality, which is derived from Wirtinger inequality, overcomes the conservatism introduced by the integral inequality used in the previous results. Numerical example demonstrates the effectiveness of the proposed method.