Optimal Control of Nonlocal Balance Equations in the Space of Nonnegative Measures
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 equation in 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.
Authors
- Nikolay Pogodaev (ORCID: https://orcid.org/0000-0002-7062-1764)
- M. V. Staritsyn (ORCID: https://orcid.org/0009-0008-4935-579X)
Institutions
- University of Padua (IT)
- Irkutsk National Research Technical University (RU)
- Institute for System Dynamics and Control Theory (RU)
Publication Details
- Journal
- Siberian Mathematical Journal
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1134/s0037446625020223
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00