Global exponential stability of impulsive delayed reaction-diffusion Cohen-Grossberg neural networks via poincare inequality

This work concerns the stability of impulsive Cohen-Grossberg neural networks with time-varying delays, reaction-diffusion terms and Dirichlet boundary condition. By the new agencies of Poincare inequality and Gronwall-Bellman-Type impulsive integral inequality, we summarize some new and concise sufficient conditions ensuring the globally exponential stability of the equilibrium point. The proposed criteria depend on the reaction-diffusion coefficients and the regional feature. In conclusion, two examples are illustrated to demonstrate the effectiveness of our obtained results.