随机扰动下统一混沌系统的有限时间同步  

FINITE-TIME SYNCHRONIZATION OF UNIFIED CHAOTIC SYSTEM WITH STOCHASTIC PERTURBATION

作　　者：王娇[1] 涂俐兰[1] 朱泽飞[1] WANG Jiao TU Li-lan ZHU Ze-fei(Hubei Province Key Laboratory of Systems Science in Metallurgical Process Wuhan University of Science and Technology, Wuhan 430065, Chin)

机构地区：[1]武汉科技大学冶金工业过程系统科学湖北省重点实验室,湖北武汉430065

出　　处：《数学杂志》2017年第1期193-200,共8页Journal of Mathematics

基　　金：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)

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.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 effectiveness of the theoretical results.

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 

分 类 号：O231.3[理学—运筹学与控制论]