摘要
基于Lyapunov稳定性理论,通过在地磁系统中加入状态反馈控制器,构造出四维超混沌地磁系统,研究其最基本的动力学特性,讨论了该系统的全局指数同步以及存在时滞和分数阶情况下的同步控制问题.数值仿真结果表明所提出方法的可行性和有效性.
Based on the Lyapunov stability thery, a four-dimensional hyperchaotic earth′s magnetic field system is constructed by adding state feedback controller into earth′s magnetic field system. Its basic dynamical properties are studied. We discuss synchronization control of globally exponential, time-delay and fractional- order. Numerical simulations are presented to verify the effectiveness and the feasibility of the synchronization scheme.
作者
王全宇
王贺元
李阔
Wang Quanyu;Wang Heyuan;Li Kuo(College of Sciences, Liaoning University of Technology, Jinzhou 121001, China;The College of Mathematics and Systematic Science, Shenyang Normal University, Shenyang110034, China)
出处
《动力学与控制学报》
2019年第2期151-158,共8页
Journal of Dynamics and Control
基金
国家自然科学基金资助(11572146,11526105)~~
关键词
地磁系统
全局指数同步
时滞
分数阶
同步控制
earth′s magnetic field system
global exponential synchronization
time- delay
fractional-order, synchronization control
