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