控制理论在最优广告策略上的应用（Ⅱ）

本文考虑的是一个企业如何通过控制广告费用，以使企业的净收入最大的问题．本文以ｔ时刻的广告费用作为控制变且，以ｔ时刻的商誉值作为状态变量，建立了系统的动态模型，给出了目标泛函Ｊ．在求解最优控制的过程中，利用了最小二乘法进行函数拟合；利用黄金分割法求解衰减系数δ，在此基础上，利用极大值原理求出了最优控制，并给出了一具体应用实例．

The Application in Optimal Advertisement Tactics of Control Theory

This paper researches a problem that a factory is how to get the maximum net profit through choosing a suitable advertisement cost. In this paper, we make the amount of advertisement cost at time t as control variable, make the goodwill value at time t as state variable and found up the dynamic model of the system. In the thesis, we also give the index founctional J. On the basis of the model of the system, we give the specific optimal control with the help of maximum principal and some optimization methods.