| 摘要: |
| 本文研究了具有随机扰动的统一混沌系统的有限时间同步问题，其中随机扰动是一维标准的维纳随机过程.利用了有限时间随机李雅普诺夫稳定性理论、伊藤公式，本文分三个步骤设立了三个控制器获得了驱动{响应系统在有限时间内的均方渐近同步.最后进行的数值模拟验证了理论结果的正确性和方法的有效性. |
| 关键词: 随机扰动 统一混沌系统 有限时间同步 伊藤公式 李雅普诺夫稳定性理论 |
| DOI： |
| 分类号:O231.3 |
| 基金项目:冶金工业过程系统科学湖北省重点实验室开放基金资助（Y201412）；湖北省自然科学基金资助（22013CFA131）. |
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| FINITE-TIME SYNCHRONIZATION OF UNIFLED CHAOTIC SYSTEM WITH STOCHASTIC PERTURBATION |
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WANG Jiao, Tu Li-lan, Zhu Ze-fei
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Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430065, China
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| Abstract: |
| In this paper, finite-time synchronization of the unified chaotic system with stochastic perturbation is investigated, in which the perturbation is a Wiener process of onedimensional standards. Based on finite-time stochastic Lyapunov stability theory and Ito formula, three steps are presented to consecutively design three controllers to guarantee the finite-time mean-square asymptotical synchronization of the drive-response systems. Finally, numerical simulations are provided to illustrate the correctness and efiectiveness of the theoretical results. |
| Key words: stochastic perturbation unified chaotic system finite-time synchronization Ito formula Lyapunov stability theory |
