Symmetry reduction and recovery of trajectories of optimal control problems via measure relaxations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00377499" target="_blank" >RIV/68407700:21230/24:00377499 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1051/cocv/2024053" target="_blank" >https://doi.org/10.1051/cocv/2024053</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/cocv/2024053" target="_blank" >10.1051/cocv/2024053</a>

Result language
angličtina
Original language name
Symmetry reduction and recovery of trajectories of optimal control problems via measure relaxations
Original language description
We address the problem of symmetry reduction of optimal control problems under the action of a finite group from a measure relaxation viewpoint. We propose a method based on the moment-Sum of Squares (SOS) aka Lasserre hierarchy which allows one to significantly reduce the computation time and memory requirements compared to the case without symmetry reduction. We show that the recovery of optimal trajectories boils down to solving a symmetric parametric polynomial system. Then we illustrate our method on the symmetric integrator and the time-optimal inversion of qubits.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/EH22_008%2F0004590" target="_blank" >EH22_008/0004590: Robotics and advanced industrial production</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)