摘要
介绍了一种新的Lü系统及其基本动力学行为.随参数的不同,该系统可同时显示两个单漩涡混沌吸引子,或同时显示两个双漩涡混沌吸引子.基于Lyapunov稳定性理论,应用逆最优控制方法对该混沌系统设计了一个简单的线性状态反馈控制器,受控混沌系统迅速渐近稳定到其不稳定的平衡点.理论分析和数值仿真表明了该控制器的有效性.
A new Lü chaotic system and its basic dynamic behaviors are introduced in the paper. When parameters are suitable, the system can display two 1-scroll chaotic attractors,or two 2- scroll chaotic attractors simultaneously. Based on the theory of Lyapunov stability, by means of the inverse optimal controlling approach, an optimal controller is designed for controlling a new Lü chaotic system. The controller is a linear state feedback controller and is very simple. With the chaotic system orbit can be controlled to its unstable equilibrium. By numerical simulation and theory analysis the effectiveness of the controller is verified.
出处
《江南大学学报（自然科学版）》
CAS
2006年第3期363-367,共5页
Joural of Jiangnan University (Natural Science Edition)
基金
国家博士后基金项目(2003033498)
江苏省教育厅基金项目(03KJD110070和03SJB630002)
江苏大学基金项目(02JDQ014和03JDQ020)
