Year: 2017
Type: preprint
Abstract: A system of renewal equations on a graph provides a framework to describe the exploitation of a biological resource. In this context, we formulate an optimal control problem, prove the existence of an optimal control and ensure that the target cost function is polynomial in the control. In specific situations, further information about the form of this dependence is obtained. As a consequence, in some cases the optimal control is proved to be necessarily bang--bang, in other cases the computations necessary to find the optimal control are significantly reduced.
Source: arXiv (Cornell University)
Authors: Colombo, Rinaldo M., Garavello, Mauro
Institutions: University of Brescia, University of Milano-Bicocca
Language: English
Field: Medicine
Domain: Health Sciences
Open Access status: green
OpenAlex ID: W2962932521