Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 139671, 17 pages
Research Article

New Results on Passivity Analysis of Delayed Discrete-Time Stochastic Neural Networks

School of Information Science and Technology, Yancheng Teachers University, Yancheng 224002, China

Received 24 July 2009; Accepted 10 November 2009

Academic Editor: Guang Zhang

Copyright © 2009 Jianjiang Yu. 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.


The problem of passivity analysis for a class of discrete-time stochastic neural networks (DSNNs) with time-varying interval delay is investigated. The delay-dependent sufficient criteria are derived in terms of linear matrix inequalities (LMIs). The results are shown to be generalization of some previous results and are less conservative than the existing works. Meanwhile, the computational complexity of the obtained stability conditions is reduced because less variables are involved. Two numerical examples are given to show the effectiveness and the benefits of the proposed method.