Mean square stability analysis of impulsive stochastic differential equations with delays

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:216

Article

Yang, Jun¹  Zhong, Shouming¹  Luo, Wenpin² 

[1] Univ Elect Sci & Technol China, Coll Appl Math, Chengdu 610054, Sichuan, Peoples R China

[2] Sichuan Univ Sci & Engn, Dept Math, Zigong 643000, Sichuan, Peoples R China

关键词: impulsive;    stochastic;    delay;    mean square stability;    Lyapunov-Krasovskii functional;    neural networks;   

DOI  :  10.1016/j.cam.2007.05.022

来源: Elsevier

【 摘 要 】

In this article, based on Lyapunov-Krasovskii functional method and stochastic analysis theory, we obtain some new criteria ensuring mean square stability of trivial solution of a class of impulsive stochastic differential equations with delays. As an application, a class of stochastic impulsive neural network with delays has been discussed. One illustrative example has been provided to show the effectiveness of our results. (C) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free