异维混沌动力系统的有限时间广义同步  

FINITE-TIME GENERALIZED SYNCHRONIZATION OF CHAOTIC DYNAMICAL SYSTEMS WITH DIFFERENT DIMENSIONS

作　　者：朱泽飞[1] 涂俐兰[1] 吴泽虎 ZHU Ze-fei TU Li-lan WU Ze-hu(School of Science, Wuhan University of Science and Technology, Wuhan 430065, Chin)

机构地区：[1]武汉科技大学理学院,湖北武汉430065

出　　处：《数学杂志》2017年第2期365-375,共11页Journal of Mathematics

基　　金：国家自然科学基金资助(61473338);国家自然科学基金资助(61304164)

摘　　要：本文研究了异维混沌动力系统的有限时间广义同步的问题.利用有限时间Lyapunov稳定性定理、Jensen不等式等理论方法,通过设置不同的控制器,从理论上提出了一般的异维驱动系统和响应系统的有限时间广义同步的两种方案,并且对方案二中的影响同步时间因素做了理论分析和证明.最后,数值模拟验证了提出理论的正确性和可行性.In this paper, finite-time generalized synchronization of chaotic dynamical systems with different dimensions is investigated. Based on the theoretical approaches of finite-time Lyapunov stability theorem and Jensen inequality etc., and by means of setting up different controllers, two kinds of schemes are proposed in theory so as to achieve finite-time generalized synchronization between general drive system and response system with different dimensions.Furthermore, the factors in the second scheme have been theoretically analyzed and proved which have an impact on the synchronization time. Finally, some numerical simulations are presented to verify that the proposed theories are correct and feasible.

关 键 词：异维混沌系统 有限时间Lyapunov稳定性定理 有限时间广义同步 同步时间 

分 类 号：O231.2[理学—运筹学与控制论]