F. Tröltzsch†
Abstract: Optimal control problems for the linear heat equation with final observation and pointwise constraints on the control are considered, where the control depends only on the time. It is shown that to each finite number of given switching points, there is a final target such that the optimal objective value is positive, the optimal control is bang-bang, and has the desired switching structure. The theory is completed by numerical examples.
MSC: 49K20, 49K30, 49M05
keywords: optimal control, heat equation, bang-bang principle, finitely many switching points
DOI 10.56082/annalsarscimath.2023.1-2.286
†troeltzsch@math.tu-berlin.de, Institut für Mathematik der Technischen Universität Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany.
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 15 no 1-2, 2023
