Solving Unbounded Optimal Control Problems With the Moment-SOS Hierarchy
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F25%3A00638269" target="_blank" >RIV/67985556:_____/25:00638269 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/25:00383744 RIV/68407700:21230/25:00383744
Result on the web
<a href="https://ieeexplore.ieee.org/document/11008548/" target="_blank" >https://ieeexplore.ieee.org/document/11008548/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/LCSYS.2025.3572074" target="_blank" >10.1109/LCSYS.2025.3572074</a>
Alternative languages
Result language
angličtina
Original language name
Solving Unbounded Optimal Control Problems With the Moment-SOS Hierarchy
Original language description
The behaviour of the moment-sums-ofsquares (moment-SOS) hierarchy for polynomial optimal control problems on compact sets has been explored to a large extent. Our contribution focuses on the case of non-compact control sets. We describe a new approach to optimal control problems with unbounded controls, using compactification by partial homogenization, leading to an equivalent infinite dimensional linear program with compactly supported measures. Our results are closely related to the results of a previous approach using DiPernaMajda measures. However, our work provides a sound proof of the absence of relaxation gap, which was conjectured in the previous work, and thereby enables the design of a moment-sum-of-squares relaxation with guaranteed convergence.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20204 - Robotics and automatic control
Result continuities
Project
<a href="/en/project/EH22_008%2F0004590" target="_blank" >EH22_008/0004590: Robotics and advanced industrial production</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
IEEE Control Systems Letters
ISSN
2475-1456
e-ISSN
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Volume of the periodical
9
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
288-293
UT code for WoS article
001499517900006
EID of the result in the Scopus database
2-s2.0-105005998860