International Journal of Differential Equations
Volume 2011 (2011), Article ID 613695, 13 pages
http://dx.doi.org/10.1155/2011/613695
Research Article

Mean Square Stability of Impulsive Stochastic Differential Systems

Institute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, China

Received 4 December 2010; Revised 17 May 2011; Accepted 26 May 2011

Academic Editor: Xingfu Zou

Copyright © 2011 Shujie Yang 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

Based on Lyapunov-Krasovskii functional method and stochastic analysis theory, we obtain some new delay-dependent criteria ensuring mean square stability of a class of impulsive stochastic equations. Numerical examples are given to illustrate the effectiveness of the theoretical results.