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噪声和脉冲信号作用下随机系统的概率稳定性及其应用

牛玉俊 黄娜

安徽大学学报(自然科学版)2012,Vol.36Issue(5):20-25,6.
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

牛玉俊 1黄娜1

作者信息

  • 1. 南阳理工学院数理学院,河南南阳473004
  • 折叠

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)

安徽大学学报(自然科学版)

OA北大核心CSTPCD

1000-2162

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