分数阶和整数阶含对数项T混沌系统自适应滑模同步  

Adaptive Sliding Mode Synchronization of Fractional-Order and Integer-Order T Chaotic Systems with Logarithmic Term

作　　者：孟晓玲[1] 毛北行[1] MENG Xiaoling;MAO Beixing(College of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450046,China)

机构地区：[1]郑州航空工业管理学院数学学院,郑州450046

出　　处：《吉林大学学报（理学版）》2023年第4期937-942,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金青年科学基金(批准号:11801528).

摘　　要：对于三维含对数项的T混沌系统,在分数阶稳定性理论的基础上,利用微分学方法设计一个更合理简洁的滑模面.在选定的控制器下,使整数阶和分数阶T混沌系统达到同步,并用MATLAB仿真程序进行仿真,验证该方法的正确性.For a three-dimensional T chaotic system with logarithmic term,on the basis of fractional-order stability theory,we used differential method to design a more reasonable and concise sliding mode surface.The integer-order and fractional-order T chaotic systems were synchronized under the selected controller,and the MATLAB simulation program was used to verify the correctness of the method.

关 键 词：分数阶 对数项 T系统 整数阶 

分 类 号：O482.4[理学—固体物理]