Stability of Impulsive Delayed Reaction-Diffusion Cohen-Grossberg Neural Networks via Hardy-Sobolev Inequality
Stability of Impulsive Delayed Reaction-Diffusion Cohen-Grossberg Neural Networks via Hardy-Sobolev Inequality
Yutian Zhang,Xianghong Laia
TLDR
By means of Gronwall-Bellman-Type impulsive integral inequality and Hardy-Sobolev inequality, some new and diffusion-dependent sufficient conditions ensuring the global exponential stability of the equilibrium point are summarized.
Abstract
Abstract 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.