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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 409758, 10 pages
http://dx.doi.org/10.1155/2013/409758
Research Article

Stability of Impulsive Cohen-Grossberg Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms

1College of Electric and Electronic Engineering, Wuhan Institute of Shipbuilding Technology, Wuhan, Hubei 430050, China
2College of Electronic and Information Engineering, Hubei University of Science and Technology, Xianning, Hubei 437100, China

Received 29 December 2012; Accepted 23 February 2013

Academic Editor: Qi Luo

Copyright © 2013 Jinhua Huang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This work concerns the stability of impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms as well as Dirichlet boundary condition. By means of Poincaré inequality and Gronwall-Bellman-type impulsive integral inequality, we summarize some new and concise sufficient conditions ensuring the global exponential stability of equilibrium point. The proposed criteria are relevant to the diffusion coefficients and the smallest positive eigenvalue of corresponding Dirichlet Laplacian. In conclusion, two examples are illustrated to demonstrate the effectiveness of our obtained results.