摘要
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,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 be stochastic asymptotical stable, in other words, unified chaotic system under this parameters could be synchronized using impulsive method. Numerical simulation was employed to confirm the validity of theoretical result at the end of this paper.
作者
吴宏锷
牛玉俊
胡双年
WU Hong-e;NIU Yu-jun;HU Shuang-nian(School of Mathematics and Physics,Nanyang Institute of Technology,Nanyang 473004,China)
出处
《数学的实践与认识》
北大核心
2019年第5期288-294,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(U1504105
11501387)
河南省科技厅项目(142300410107
152300410180
182102710379)
河南省高校重点科研基金(17A110010)
关键词
统一混沌系统
脉冲同步
随机渐近稳定性
unified chaotic system
impulsive synchronization
stochastic asymptotical stability
