摘要
探讨了随机受扰的广义Sprott-C混沌系统的有限时间同步问题.首先提出了含有未知参数的随机广义Sprott-C驱动-响应混沌系统模型,设计了合适的有限时间控制器和参数自适应更新率,接着基于有限时间稳定性定理、Itô公式和随机系统理论,给出了随机扰动作用下,广义Sprott-C驱动-响应系统的有限时间稳定性的结论,并对系统的未知参数进行了辨识.利用数值仿真,验证了所给结论的正确性与有效性,并对参数的选取进行了比较分析.
Finite-time stochastic synchronization of general Sprott-C chaotic system is investigated in the paper.Firstly,the general stochastic Sprott-C chaotic drive-response system with unknown parameters is constructed,then the finite-time controller and papameter adaptive update rate are designed.The conclusion of finite-time stabilization of the general stochastic Sprott-C chaotic drive-response system under random perturbation is given based on finitetime stochastic stability theory,Itôformula and the relative stochastic system theory,and the unknown parameters of the system are identified.Finally,numerical simulations are provided to illustrate the correctness of and effectivenss the theoretical results,and the secelation of parameters is compared and analyzed in addition.
作者
闫丽宏
韩紫阳
王仁义
聂婉婷
YAN Lihong;HAN Ziyang;WANG Renyi;NIE Wanting(School of Mathematics and Information Science,Xianyang Normal University,Xianyang 712000,Shaanxi China)
出处
《河南科学》
2020年第4期524-530,共7页
Henan Science
基金
国家自然科学基金资助项目(11705122)
陕西省教育厅自然科学资助项目(18JK0829)
咸阳师范学院科学研究项目(XSYK19024)
国家级大学生创新创业训练项目(2019010722021)。
关键词
随机微分系统
有限时间稳定
同步
参数辨识
广义Sprott-C混沌系统
stochastic differential system
finite-time stabilization
synchronization
parameter identification
general Sprott-C chaotic system
