Dynamical behaviors of impulsive reaction-diffusion Cohen-Grossberg neural network with delays

  • Authors:

  • Jie Pan;Shouming Zhong

  • Affiliations:

  • Department of Applied Mathematics, Sichuan Agricultural University, Yaan, Sichuan 625014, China and College of Applied Mathematics, University of Electronic Science and Technology of China, Chengd ...;College of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China

  • Venue:
  • Neurocomputing
  • Year:
  • 2010

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Abstract

In this paper, an impulsive reaction-diffusion Cohen-Grossberg neural network with delays and Neumann boundary condition is considered. By utilizing Poincare inequality, constructing suitable Lyapunov functional method, some new sufficient conditions are obtained to ensure the global exponential stability of the equilibrium point. The obtained sufficient conditions depend on the reaction-diffusion terms. A comparison between our results and the previous results shows that diffusion terms can be used to exponentially stabilize some reaction-diffusion neural networks with delays and the previous results have been improved.