Volume 54, Number 1, January-February 2020
|Page(s)||79 - 103|
|Published online||14 January 2020|
Time-optimality by distance-optimality for parabolic control systems
Fakultät für Mathematik, Technische Universität München, München, Germany
2 Institute for Mathematics and Scientific Computing, University of Graz, Graz, Austria
* Corresponding author: firstname.lastname@example.org
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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