| 随机Sprott-F混沌系统的有限时间同步 |
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| 引用本文： | 闫丽宏.随机Sprott-F混沌系统的有限时间同步[J].西南师范大学学报(自然科学版),2018,43(9):17-21. |
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| 作者姓名： | 闫丽宏 |
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| 作者单位： | 咸阳师范学院数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金项目（61401383）；陕西省自然科学研究计划项目（2014JM2-1002）；咸阳师范学院自然科学项目（14XSYK004）. |
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| 摘 要： | 讨论了随机受扰的Sprott-F混沌系统的有限时间稳定性问题.首先构造了随机受扰的混沌Sprott-F驱动—响应系统模型,接着基于有限时间lyapunov稳定性定理、It8公式和相关假设条件,设计了合适的非线性反馈控制器,通过理论证明了受扰的Sprott-F驱动-响应系统的有限时间稳定性结论.最后利用数值模拟验证了本文所给结论的正确性和所设计的非线性反馈控制器的有效性.
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| 关 键 词： | 混沌 随机扰动 有限时间同步 |
| 收稿时间： | 2016/12/19 0:00:00 |
Finite-Time Synchronization of Sprott-F Chaotic System with Stochastic Perturbation |
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| YAN Li-hong.Finite-Time Synchronization of Sprott-F Chaotic System with Stochastic Perturbation[J].Journal of Southwest China Normal University(Natural Science),2018,43(9):17-21. |
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| Authors: | YAN Li-hong |
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| Institution: | School of Mathematics and Information Science, Xianyang Normal University, Xianyang Shaanxi 712000, China |
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| Abstract: | Finite-time synchronization of Sprott-F chaotic system with stochastic perturbation is investigated in the paper. Firstly, the drive-response chaotic Sprott-F system is constructed, then an effective controller is designed to guarantee the finite-time synchronization of the drive-response systems based on finite-time stochastic Lyapunov stability theory,Itô formula and relative assumptions. And finally, numerical simulations are provided to illustrate the correctness and activeness of the theoretical results. |
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| Keywords: | chaos stochastic perturbation finite-time synchronization |
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