| Issue |
ESAIM: M2AN
Volume 54, Number 1, January-February 2020
|
|
|---|---|---|
| Page(s) | 79 - 103 | |
| DOI | https://doi.org/10.1051/m2an/2019046 | |
| Published online | 14 January 2020 | |
Time-optimality by distance-optimality for parabolic control systems
1
Fakultät für Mathematik, Technische Universität München, München, Germany
2
Institute for Mathematics and Scientific Computing, University of Graz, Graz, Austria
* Corresponding author: lucas.bonifacius@tum.de
Received:
6
November
2018
Accepted:
21
June
2019
The equivalence of time-optimal and distance-optimal control problems is shown for a class of parabolic control systems. Based on this equivalence, an approach for the efficient algorithmic solution of time-optimal control problems is investigated. Numerical examples are provided to illustrate that the approach works well in practice.
Mathematics Subject Classification: 49K20 / 49M15
Key words: Time-optimal controls / bang-bang controls / distance optimal controls / parabolic control systems
© EDP Sciences, SMAI 2020
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