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<p>We present an&#xa0;approach to studying optimal control problems in the space of nonnegative measures,with dynamics given by a&#xa0;nonlocal balance law.This approach relies on transforming the balance law into a&#xa0;continuity equationin the space of probabilities, and subsequently into an ODE in a&#xa0;Hilbert space.The main result is a&#xa0;version of Pontryagin’s maximum principle for the addressed problem.</p>

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Optimal Control of Nonlocal Balance Equations in the Space of Nonnegative Measures

  • 期刊论文

  • 发表日期：

    2025年3月23日

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  • N. I. Pogodaev,
  • M. V. Staritsyn

摘要

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.