一类混沌系统的迭代控制方法

基于混沌系统的两个有界状态变量，提出了一种迭代控制方法，能够使一类具有零动态的低维混沌系统在原点渐近稳定．首先，根据合适的输出信号对低维混沌系统进行一步迭代变换．该迭代变换方法能够使混沌系统的维数降低一阶；然后，只要在一定范围内选择某个正的参数，具有零动态的低维混沌系统的稳定性分析就转化为简单的Hurwitz稳定性分析；最后，Hurwitz稳定性理论分析和三阶Lorenz混沌系统的数值仿真结果表明：该迭代控制方法是有效的，而且受控低维混沌系统在原点渐近稳定．

Controlling a Class of Chaotic Systems via One Iteration Method

Based on two bounded states of chaotic system, this paper proposed one iteration method of controlled chaotic system with a zero dynamic, which is asymptotically stable at the origin. First, using a specific output signal, one iteration method can make the dimension of chaotic system decrease to one. Second, the stability of the controlled chaotic system becomes the simple Hurwitz stability analysis provided that a parameter is chosen properly in a suitable range. Last, the theoretical analysis and numerical simulation of Lorenz chaotic system show that the method is effective and the controlled chaotic systems is asymptotically stable at the origin.