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Optimal control of nonlinear renewal equation

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In this article, we study the optimal control for a nonlinear renewal equation popularly known as McKendrick–von Foerster (MV) equation. We establish necessary optimality conditions using the concept of normal… Click to show full abstract

In this article, we study the optimal control for a nonlinear renewal equation popularly known as McKendrick–von Foerster (MV) equation. We establish necessary optimality conditions using the concept of normal cone. Finally, we prove the existence and uniqueness of optimal control using the Ekeland variational principle.

Keywords: renewal equation; control; nonlinear renewal; optimal control; control nonlinear

Journal Title: International Journal of Control
Year Published: 2021

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