分数阶Genesio-Tesi混沌系统的适应转移函数滑模同步方法  

Adaptive transfer function sliding mode synchronization method of fractional-order Genesio-Tesi chaotic system

作　　者：毛北行 Mao Beixing(College of Science,Zhengzhou University of Aeronautics,Zhengzhou 450015,China)

机构地区：[1]郑州航空工业管理学院理学院,河南郑州450015

出　　处：《南京理工大学学报》2018年第5期586-590,共5页Journal of Nanjing University of Science and Technology

基　　金：国家自然科学青年基金(NSFC11501525)

摘　　要：研究了分数阶Genesio-Tesi混沌系统的适应转移函数滑模同步问题,通过减少控制输入,将三阶分数阶Genesio-Tesi混沌系统的同步化问题转化为一个特殊的二阶系统,基于Lyapunov稳定性理论及分数阶微积分,给出了主从系统取得混沌同步的充分条件。The problem of adaptive transfer function sliding mode synchronization of the fractional-order Genesio-Tesi system is studied in the paper.The three-order fractional-order Genesio-Tesi system is transferred into the control problem of the special two-order system by reducing the number of active inputs.Based on the Lyapunov stability theory and the fractional-order calculus,the sufficient conditions of the sliding mode synchronization are obtained for the master-slave system of the fractional-order Genesio-Tesi system.

关 键 词：分数阶 Genesio-Tesi系统 滑模同步 

分 类 号：O482.4[理学—固体物理]