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Journal of Applied Mathematics
Volume 2014 (2014), Article ID 787568, 5 pages
Research Article

Exponential Stability for Impulsive Stochastic Nonlinear Network Systems with Time Delay

1School of Electronic, Information and Electrical Engineering, Shanghai Jiaotong University, Shanghai 200240, China
2College of Information and Engineering Science, Changzhou University, Jiangsu 213164, China

Received 4 December 2013; Revised 29 January 2014; Accepted 6 February 2014; Published 17 March 2014

Academic Editor: Laurence T. Yang

Copyright © 2014 Lanping Chen 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.


We study the exponential stability of the complex dynamical network described by differentially nonlinear equations which couple with time delay and stochastic impulses. Some sufficient conditions are established to ensure pth moment exponential stable for the stochastic impulsive systems (SIS) with time delay. An example with its numerical simulation is presented to illustrate the validation of main results.