Newton-Leipnik系统的线性反馈控制与同步研究

Linear feedback control and synchronization of Newton-Leipnik system

构造一个简单的线性控制器,通过对控制参数的适当选取,将Newton Leipnik系统分别控制到稳定的周期轨道和稳定的不动点,利用Mathematics软件进行数值模拟证明这种控制达到预期的目标;同时,基于线性系统的稳定性理论,构造一个混沌同步系统,研究了Newton Leipnik(N L)系统的完全同步问题,数据模拟结果也证实本文构造的同步混沌系统的可行性与有效性.

A simple linear controller is proposed. By appropriate selection of the control parameters of the controller the orbit of the Newton-Leipnik(N-L) chaotic system can be controlled to a stable period orbit and a stable fixed point. Meanwhile, by using the mathematic software it is proved that this kind of controlling has achieved the expected goal. Furthermore, based upon the stability criterion of linear system, a chaotic synchronization system is constructed, and the complete synchronization of the Newton-Leipnik chaotic system is discussed. Numerical simulation results show the effectiveness and feasibility of the constructed chaotic synchronization system.