We present an approach to studying optimal control problems in the space of nonnegative measures,with dynamics given by a nonlocal balance law.This approach relies on transforming the balance law into a continuity equationin the space of probabilities, and subsequently into an ODE in a Hilbert space.The main result is a version of Pontryagin’s maximum principle for the addressed problem.
Optimal Control of Nonlocal Balance Equations in the Space of Nonnegative Measures
Pogodaev N. I.;
2025
Abstract
We present an approach to studying optimal control problems in the space of nonnegative measures,with dynamics given by a nonlocal balance law.This approach relies on transforming the balance law into a continuity equationin the space of probabilities, and subsequently into an ODE in a Hilbert space.The main result is a version of Pontryagin’s maximum principle for the addressed problem.
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