Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 261274, 14 pages
http://dx.doi.org/10.1155/2012/261274
Research Article

Exponential Synchronization Analysis and Control for Discrete-Time Uncertain Delay Complex Networks with Stochastic Effects

Tianbo Wang,1,2 Wuneng Zhou,2 Dejun Zhao,1 and Shouwei Zhao1

1College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, China
2College of Information Sciences and Technology, Donghua University, Shanghai 201620, China

Received 18 April 2012; Accepted 3 June 2012

Academic Editor: Bo Shen

Copyright © 2012 Tianbo Wang 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.

Abstract

The exponential synchronization for a class of discrete-time uncertain complex networks with stochastic effects and time delay is investigated by using the Lyapunov stability theory and discrete Halanay inequality. The uncertainty arises from the difference of the nodes’ reliability in the complex network. Through constructing an appropriate Lyapunov function and applying inequality technique, some synchronization criteria and two control methods are obtained to ensure the considered complex network being exponential synchronization. Finally, a numerical example is provided to show the effectiveness of our proposed methods.