Stability of Impulsive Delayed Reaction-Diffusion Cohen-Grossberg Neural Networks via Hardy-Sobolev Inequality

This work concerns the stability for impulsive delayed Cohen-Grossberg neural networks with reaction-diffusion terms and Dirichlet boundary condition. By means of Gronwall-Bellman-Type impulsive integral inequality and Hardy-Sobolev inequality, we summarize some new and diffusion-dependent sufficient conditions ensuring the global exponential stability of the equilibrium point. An example is finally illustrated to demonstrate the effectiveness of our obtained results. (C) 2011 Published by Elsevier Ltd.