Logistic人口增长模型的反馈控制研究

On Feedback Control for Logistic Population Growth Model

针对Ｌｏｇｉｓｔｉｃ人口增长模型在混沌状态时轨道杂乱无章的现象，提出了一种基于Ｌｙａｐｕｎｏｖ指数的状态反馈控制策略， 并给出了进行状态反馈的条件．数字仿真结果表明，利用该控制策略，可将混沌状态时的Ｌｏｇｉｓｔｉｃ人口增长模型中的状态变量在很短的时间内控制在任意的允许值上．

This paper proposed a control tactics by state feedback based on Lyapunov exponent to get rid of the chaotic orbits in chaotic Logistic population growth model, and gave the control conditions. The number simulation shows we can control the static variables of chaotic Logistic population growth model to any allowable value in short time with this tactics.