含时滞异阶混沌系统修正函数投影同步的实现  

Modified Function Projective Synchronization in Two Different-Order Chaotic Systems with Time Delay

作　　者：朱波[1] 陈贞翔[1] 

机构地区：[1]济南大学信息科学与工程学院,山东济南250022

出　　处：《济南大学学报（自然科学版）》2013年第1期42-46,共5页Journal of University of Jinan(Science and Technology)

基　　金：国家自然科学基金(60903176)

摘　　要：针对两个含时滞不同阶异构混沌系统进行修正函数投影同步的研究。在所提出的同步方案中,根据Lyapunov稳定性理论,设计自适应控制器,具有不同阶的异构混沌系统通过降阶方式遵循比例函数矩阵实现渐进同步。同时,时滞作为实际应用因素被加入所研究的系统模型中。数值模拟结果进一步证明该方案的有效性和可行性。Modified function projective lag synchronization(MFPLS) in two different order chaotic systems is presented.By means of the Lyapunov stability theory,an adaptive controller is designed to achieve MFPLS.The states of two hybrid chaotic systems with different orders are asymptotically synchronized up to a desired scaling function matrix with reduced order.The time delay as a factor of practical application is added to the model of the system.Theoretical proof and numerocal simulation demonstrate the effectiveness and feasibility of the proposed scheme.

关 键 词：修正函数投影同步 异构动力系统 自适应控制 时间延迟 

分 类 号：O415.5[理学—理论物理]