白噪声作用下陈系统的脉冲控制  

Impulsive control of Chen-system with white noise

作　　者：吴宏锷[1] 廖冬[2] 牛玉俊[1] 

机构地区：[1]南阳理工学院数理学院,河南南阳473004 [2]南阳师范学院数学与统计学院,河南南阳473061

出　　处：《兰州理工大学学报》2013年第2期148-151,共4页Journal of Lanzhou University of Technology

基　　金：河南省科技厅基金(122102210060)

摘　　要：研究随机脉冲微分系统的P阶矩稳定性问题,在更符合脉冲系统一般假设及较弱的条件下,给出随机脉冲微分系统的P阶矩稳定性判定定理.作为该判定定理的应用,考察参激白噪声作用下陈系统的脉冲控制问题,数值模拟验证用脉冲方法控制陈系统混沌的可行性.The P-moment stability of stochastic impulsive differential system was studied and a judgement theorem was given for P-moment stability under general and weaker condition which would be even more consistent with impulsive system. As an application of this judgement theorem, impulsive control of Chen- system excited by parametric white noise was examined. Finally, numerical simulation was employed to verified the feasibility of the theorem.

关 键 词：脉冲系统 陈系统 混沌控制 P阶矩稳定性 

分 类 号：O175.13[理学—数学] O324[理学—基础数学]