Exact Formulas for the Increment of the Cost Functional in Optimal Control of Linear Balance Equation

We study a state-linear optimal control problem for a transport equation with a source term in the space of finite signed Borel measures. For this problem, a version of the classical Pontryagin principle (in the form of the minimum principle) is obtained for the first time. In addition, we propose a...

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Bibliographic Details
Main Authors: E.V. Goncharova, N. I. Pogodaev, M. V. Staritsyn
Format: Article
Language:English
Published: Irkutsk State University 2025-03-01
Series:Известия Иркутского государственного университета: Серия "Математика"
Subjects:
Online Access:https://mathizv.isu.ru/en/article/file?id=1518