安徽大学学报(自然科学版)2012,Vol.36Issue(5):20-25,6.
噪声和脉冲信号作用下随机系统的概率稳定性及其应用
The probability stability of nonlinear system with noise and impulsive signals and its application
摘要
Abstract
In this paper, the stochastic asymptotical stability of stochastic impulsive differential equations was considered, and a comparison theory was deduced too, from which, we could find whether the stochastic impulsive system was stochastic asymptotical stable just from the stability from a deterministic comparison system, and the stable region of stochastic impulsive system could be given too. The problem of impulsive control of Lü system with white-noise was employed to show the validity and effectiveness of our theory, numerical simulation verified theoretical results at the end of this paper.关键词
随机渐近稳定性/随机脉冲系统/混沌控制Key words
stochastic asymptotical stability/ stochastic differential equations/ chaos control分类
数理科学引用本文复制引用
牛玉俊,黄娜..噪声和脉冲信号作用下随机系统的概率稳定性及其应用[J].安徽大学学报(自然科学版),2012,36(5):20-25,6.基金项目
国家自然科学基金资助项目(10902085) (10902085)
河南省科学技术基金资助项目(122102210060) (122102210060)