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 differentiablewith respect to the control. A numerical integration illustrates qualitative properties of the whole structure.
Garavello, M. (2016). Optimal control in renewable resources modeling. BULLETIN BRAZILIAN MATHEMATICAL SOCIETY, 47(1), 347-357 [10.1007/s00574-016-0143-0].
Optimal control in renewable resources modeling
GARAVELLO, MAURO
2016
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 differentiablewith respect to the control. A numerical integration illustrates qualitative properties of the whole structure.
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