The optimal control problem for the vidale‐wolfe advertising model revisited | Zendy

Ferreyra Guillermo | Zendy

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The optimal control problem for the vidale‐wolfe advertising model revisited

Author(s) -

Ferreyra Guillermo

Publication year - 1990

Publication title -

optimal control applications and methods

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.458

H-Index - 44

eISSN - 1099-1514

pISSN - 0143-2087

DOI - 10.1002/oca.4660110407

Subject(s) - optimal control , mathematical optimization , control (management) , mathematics , bounded function , state (computer science) , measure (data warehouse) , bounded variation , variation (astronomy) , computer science , control theory (sociology) , algorithm , mathematical analysis , artificial intelligence , physics , database , astrophysics

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.

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