Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024422 | Nonlinear Analysis: Real World Applications | 2017 | 13 Pages |
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.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Rinaldo M. Colombo, Mauro Garavello,