一类混沌经济模型的直线控制法研究

Study on straight-line stabilization method for a class of chaotic economic model

就混沌经济系统中两种形式的直线控制法进行了讨论,一种形式的直线控制法是对控制参数进行扰动,另一种是加入外部控制信号对状态变量的取值进行调整,二者都不需要固定点存在稳定流形.以寡头市场条件下量本利模型的两类混沌态为例,分别用两种形式的控制方法成功、快速地将其控制到Nash均衡点.对实施控制前后企业的累计销售收入和累计利润进行对比中可看到,实施控制后企业的业绩有较大改善.对直线控制法在实践中如何运用进行了讨论.

Two forms of straight-line stabilization method in a class of economic chaos system are discussed, which does not need that the fixed point has stable manifold. One stabihzes chaos via time-dependent adjustments of control parameters; the other suppresses chaos by adjusting external control signals. Two kinds of chaos of the model of cost-volume-profits under the duopoly market condition are stabilized to a Nash equilibrium point by using the above two methods respectively, the performances of the system are improved by controlling chaos. Their application in practice is discussed.