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

作　　者：牛玉俊[1] 黄娜[1] 

机构地区：[1]南阳理工学院数理学院,河南南阳473004

出　　处：《安徽大学学报（自然科学版）》2012年第5期20-25,共6页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10902085);河南省科学技术基金资助项目(122102210060)

摘　　要：考察随机脉冲系统的随机渐近稳定性,得到随机渐近稳定性比较定理.通过该比较定理,可以由一个确定性比较系统的稳定性得到原随机脉冲系统的随机渐近稳定性,从而给出随机混沌系统脉冲控制及脉冲同步的理论基础,为随机混沌系统脉冲控制与脉冲同步提供稳定的参数取值范围.数值模拟结果验证了结果的正确性.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 Lu 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 

分 类 号：O302[理学—力学]