Control and Synchronization of a Novel Hyperchaotic System Containing One Quadratic Term

作     者：Chunbiao Li Hankang Wang 

作者机构：School of Electronic Engineering and Photoelectric Technology Nanjing University of Science and Technology Nanjing 210094 China Department of Mechanical and Electrical Engineering Jiangsu R＆D Center of Food Safety Engineering Technology Nanjing 210007 China University of Wuerzburg Germany 97074 

出 版 物：《Journal of Systems Science and Information》 (系统科学与信息学报（英文）)

年 卷 期：2009年第7卷第1期

页      面：33-41页

学科分类：07[理学] 08[工学] 0835[工学-软件工程] 070201[理学-理论物理] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 0702[理学-物理学] 

主　　题：Liu chaotic system hyperchaotic system Poincare mapping nonlinear control linear feedback synchronization 

摘      要：A novel hyperchaotic system derived from Liu system is proposed in this paper. Lyapunov exponent, phase portrait and Poincare mapping are given to verify that the system is hyperchaotic. A controller is designed to compel the hyperchaotic system to converge into the equilibrium. It is proved theoretically that this control law is feasible and valid by Lyapunov second method. Based on linear feedback synchronization control principle, synchronization control of the novel hyperchaotic system is realized. Numerical simulation shows that this synchronization method is simple and effective. As long as the proper linear feedback control vector is chosen, it is easy to achieve the rapid synchronization between the driving system and response system.