Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 415786, 14 pages
doi:10.1155/2009/415786
Research Article

Periodic Solutions and Exponential Stability of a Class of Neural Networks with Time-Varying Delays

Yingxin Guo1 and Mingzhi Xue2

1Department of Mathematics, Qufu Normal University, Qufu 273165, Shandong, China
2Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, Henan, China

Received 8 March 2009; Accepted 17 June 2009

Academic Editor: Guang Zhang

Copyright © 2009 Yingxin Guo and Mingzhi Xue. 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

Employing fixed point theorem, we make a further investigation of a class of neural networks with delays in this paper. A family of sufficient conditions is given for checking global exponential stability. These results have important leading significance in the design and applications of globally stable neural networks with delays. Our results extend and improve some earlier publications.