白噪声作用下统一混沌系统的脉冲同步

IMPULSIVE SYNCHRONIZATION OF STOCHASTIC UNIFIED CHAOTIC SYSTEM

本文考察了白噪声和脉冲信号联合作用下统一混沌系统的随机渐近稳定性问题,得到该随机脉冲系统的比较系统,从而由该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。并从理论上得到能使该随机脉冲系统随机渐近稳定的参数取值范围,文章最后用数值仿真验证了理论结果的正确性。

In this paper, the stochastic asymptotical stability of unified chaotic system with parametric white noise and impulsive signal excitation was studied, a comparison system was deduced too, from which we could judge whether the stochastic impulsive system was stochastic asymptotical stable or not just from this deterministic comparison system＇ s stability. And the stable region of this stochastic impulsive system could be derived from this comparison method too, parameters in this stable region could make this stochastic Chua＇ s circuit he stochastic asymptotical stable, in other words, unified chaotic system under this parameters could he synchronized using impulsive method. Numerical simulation was employed to confirm the validity of theoretical result at the end of this paper.