Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 910140, 14 pages
Research Article

Delay-Dependent Stability Analysis for Recurrent Neural Networks with Time-Varying Delays

School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China

Received 23 May 2012; Accepted 2 September 2012

Academic Editor: Zhan Shu

Copyright © 2012 Shu Lv 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.


This paper concerns the problem of delay-dependent stability criteria for recurrent neural networks with time varying delays. By taking more information of states and activation functions as augmented vectors, a new class of the Lyapunov functional is proposed. Then, some less conservative stability criteria are obtained in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are given to illustrate the effectiveness of the proposed method.