Optimal harvesting control for a nonlinear McKendrick–von Foerster equation with generic cost functional
Abstract
An optimal harvesting control problem for the McKendrick–von Foerster equation with generic cost functional is considered. The notions of the normal cone and the tangent cone are used to establish the necessary optimality conditions. The existence and uniqueness of an optimal control are proved with the aid of the Ekeland variational principle. Moreover, a synthesis of the optimal feedback law is given.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Neural Networks Stability and Synchronization
Optimization and Variational Analysis
Publication details
- Journal / source
- Mathematical Control and Related Fields
- Publisher
- American Institute of Mathematical Sciences (AIMS)
- Volume
- 0
- Issue
- 0
- Publication date
- 1 January 2026