Advances in Difference Equations
Volume 2011 (2011), Article ID 437842, 12 pages
doi:10.1155/2011/437842
Research Article

𝝁 -Stability of Impulsive Neural Networks with Unbounded Time-Varying Delays and Continuously Distributed Delays

Lizi Yin1,2 and Xilin Fu3

1School of Management and Economics, Shandong Normal University, Jinan 250014, China
2School of Science, University of Jinan, Jinan 250022, China
3School of Mathematical Sciences, Shandong Normal University, Jinan 250014, China

Received 13 November 2010; Revised 19 February 2011; Accepted 3 March 2011

Academic Editor: Jin Liang

Copyright © 2011 Lizi Yin and Xilin Fu. 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 paper is concerned with the problem of 𝜇 -stability of impulsive neural systems with unbounded time-varying delays and continuously distributed delays. Some 𝜇 -stability criteria are derived by using the Lyapunov-Krasovskii functional method. Those criteria are expressed in the form of linear matrix inequalities (LMIs), and they can easily be checked. A numerical example is provided to demonstrate the effectiveness of the obtained results.