0638269 20250902083802.820250821235959.9 105005998860 001499517900006 10.1109/LCSYS.2025.3572074 6 s. P cav_un_epca*05436062475-145691 (2025)288-293Institute of Electrical and Electronics Engineers optimal control sum of squares polynomial optimization cav_un_auth*0492160 Sehnalova K. CZ 25 K cav_un_auth*0015534 Henrion D. FR 25 cav_un_auth*0468055 Korda M. FR 25 cav_un_auth*0101142 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR 25 Ústav teorie informace a automatizace AV ČR, v. v. i. https://library.utia.cas.cz/separaty/2025/MTR/kruzik-0638269.pdf https://ieeexplore.ieee.org/document/11008548/ (ROBOPROX) CZ.02.01.01/00/22 008/0004590 GA MŠk CZ cav_un_auth*0487206 SGS25/145/OHK3/3T/13 GA ČVUT CZ cav_un_auth*0492495 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. WOS BA 20000 20200 20204 2026 4 RVO:67985556 https://hdl.handle.net/11104/0369143 S A AUTOMATION&CONTROLSYSTEMS 2.2 0.2 2.9 0.01447 0.929 4962 47 1.064 23.15 2.42 4424 Q1 1.800 568 Q3 48.9 0.52 Q2 48.9 2025 105005998860 SCOPUS PUBMED 001499517900006 WOS cav_un_epca*0543606 IEEE Control Systems Letters Roč. 9 č. 1 2025 288 293 2475-1456 Institute of Electrical and Electronics Engineers