An optimal control problem without control costs

A two-dimensional diffusion process is controlled until it enters a given subset of $ \mathbb{R}^2 $. The aim is to find the control that minimizes the expected value of a cost function in which there are no control costs. The optimal control can be expressed in terms of the value function, which gi...

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Bibliographic Details
Main Author: Mario Lefebvre
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2023239?viewType=HTML