线性反馈控制混沌系统

On linear feedback control of chaotic system

利用线性反馈方法控制混沌运动,使系统稳定到失稳的平衡点或周期解,且用劳斯 胡尔维茨判据对受控系统进行了稳定性分析,将该控制方法应用于Lorenz系统和Rossler系统,其数值仿真结果证实了该控制方法的有效性.

A linear feedback control technique is used to guide the chaotic trajectories in two chaotic dynamical systems of Lorenz and Rossler to a stable condition at unstable equilibrium point or to get an unstable periodic solution. The RouthHurwitz criterion is used to analyze the stability of the controlled system. The validity of this control strategy is justified by numerical simulation for both the systems of Lorenz and Rossler.