一种控制生产的“指数型”数学模型

A Kind of Exponent-type Mathematic Model for Control Process in Production

本文建立了一类计算机控制生产的指数型数学模型，导出了数学方程，并给出了数值实现的方法，数学方程的解具有渐近稳定性；数值解具有良好的收敛性，这类模型的一个实际背景是“橡胶制品硫化效应积分控制的指数模型”，它在生产中被证明性能良好，适应性强。

A kind of exponent-type mathematic model for control process in production is established in this paper. Related mathematic equations are obtained, and the numerical computing method is given. It is shown that the solution of the mathematic equation is asymptotical stable, and the numberical solution which is obtained by the numerical method is uniform convergent to the solution of the mathematical equation. A practical example of production shows that this kind mathematic model has many nice properties, and it is specially able to deal with the nonnormal production condition.