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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 825643, 17 pages
http://dx.doi.org/10.1155/2012/825643
Research Article

Dynamical Analysis for High-Order Delayed Hopfield Neural Networks with Impulses

College of Physics and Electronics, Shandong Normal University, Jinan 250014, China

Received 25 June 2012; Accepted 3 September 2012

Academic Editor: José J. Oliveira

Copyright © 2012 Dengwang Li. 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

The global exponential stability and uniform stability of the equilibrium point for high-order delayed Hopfield neural networks with impulses are studied. By utilizing Lyapunov functional method, the quality of negative definite matrix, and the linear matrix inequality approach, some new stability criteria for such system are derived. The results are related to the size of delays and impulses. Two examples are also given to illustrate the effectiveness of our results.