THE OPTIMAL-CONTROL PROBLEM FOR THE VIDALE-WOLFE ADVERTISING MODEL REVISITED

被引：3

作者：

FERREYRA, G

机构：

[1] Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 1990年 / 11卷 / 04期

关键词：

Optimal advertising; Optimal control; Unbounded control; Vidale‐Wolfe advertising model;

D O I：

10.1002/oca.4660110407

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The optimal control problem for the Vidale‐Wolfe advertising model with unbounded controls is reformulated rigorously. It is shown that even though the optimal control is a measure of bounded variation, there exist physically realizable approximations to it. These smoother controls converge to the optimal control together with the induced trajectories and costs. Also, closed‐form expressions are given for the optimal state trajectories and the induced costs. Copyright © 1990 John Wiley & Sons, Ltd.

引用

页码：363 / 368

页数：6

共 8 条

[1]

BENSOUSSAN A, 1984, IMPULSIVE CONTROL QU

[2]

BRESSAN A, 1988, B UNIONE MAT ITAL, V3, P641

[3] APPROXIMATION OF STOCHASTIC-EQUATIONS DRIVEN BY PREDICTABLE PROCESSES [J].