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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 730941, 18 pages
http://dx.doi.org/10.1155/2012/730941
Research Article

Master-Slave Synchronization of Stochastic Neural Networks with Mixed Time-Varying Delays

1School of Resources and Safety Engineering, China University of Mining and Technology, Beijing 100083, China
2College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
3Key Laboratory of Measurement and Control of CSE School of Automation, Southeast University, Ministry of Education, Nanjing 210096, China

Received 11 April 2011; Revised 29 July 2011; Accepted 4 August 2011

Academic Editor: Xue-Jun Xie

Copyright © 2012 Yongyong Ge 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

This paper investigates the problem on master-salve synchronization for stochastic neural networks with both time-varying and distributed time-varying delays. Together with the drive-response concept, LMI approach, and generalized convex combination, one novel synchronization criterion is obtained in terms of LMIs and the condition heavily depends on the upper and lower bounds of state delay and distributed one. Moreover, the addressed systems can include some famous network models as its special cases, which means that our methods extend those present ones. Finally, two numerical examples are given to demonstrate the effectiveness of the presented scheme.