参激白噪声作用下蔡电路的脉冲控制  

Impulsive Control of Stochastic Chua'S Circuit

作　　者：朱玉清[1] 牛玉俊[1] 徐伟[2] 

机构地区：[1]南阳理工学院应用数学系,河南南阳473004 [2]西北工业大学自动化学院,陕西西安710072

出　　处：《数学的实践与认识》2011年第12期143-149,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10872165)

摘　　要：考察了参激白噪声和脉冲信号联合作用下蔡电路的渐近P阶矩稳定性问题,得到该随机脉冲系统的比较系统,从而可由该确定性比较系统的稳定性得到原随机脉冲系统的渐近P阶矩稳定性.并从理论上得到能使该随机脉冲系统渐近P阶矩稳定的参数取值范围,即在稳定区域内取值的参数组合能够用脉冲方法对该随机蔡电路实现混沌控制.最后用数值仿真验证了理论结果的正确性.In this paper, the asymptotical p-moment stability of Chua＇s circuit with parametric white noise and impulsive signal excitation are studied and a comparison system is deduced, so we can judge whether the stochastic impulsive system is asymptotical p-moment stable or not just from this deterministic comparison system＇s stability. And the stable region of this stochastic impulsive system can be derived from this comparison method too, parameters in this stable region can make this stochastic Chua＇s circuit be asymptotical p-moment stable, in other words, Chua＇s circuit under this parameters can be controlled using impulsive method. Numerical simulation is employed to confirm the validity of theoretical result at the end of this paper.

关 键 词：蔡电路 脉冲控制 渐近P阶矩稳定性 

分 类 号：TM13[电气工程—电工理论与新技术] O415.5[理学—理论物理]