On Binary Optimal Control in $H^s(0,T)$, $s < 1/2$

The function space $H^s(0,T)$, $s < 1/2$, allows for functions with jump discontinuities and is thus attractive for treating optimal control problems with discrete-valued control functions. We show that while arbitrary chattering controls are impossible, there exist feasible controls in $H^s(0,T)...

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Bibliographic Details
Main Authors: Manns, Paul, Surowiec, Thomas M.
Format: Article
Language:English
Published: Académie des sciences 2023-11-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.507/
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