| bibtype |
J -
Journal Article
|
| ARLID |
0638269 |
| utime |
20250902083802.8 |
| mtime |
20250821235959.9 |
| SCOPUS |
105005998860 |
| WOS |
001499517900006 |
| DOI |
10.1109/LCSYS.2025.3572074 |
| title
(primary) (eng) |
Solving Unbounded Optimal Control Problems With the Moment-SOS Hierarchy |
| specification |
| page_count |
6 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0543606 |
| ISSN |
2475-1456 |
| title
|
IEEE Control Systems Letters |
| volume_id |
9 |
| volume |
1 (2025) |
| page_num |
288-293 |
| publisher |
| name |
Institute of Electrical and Electronics Engineers |
|
|
| keyword |
optimal control |
| keyword |
sum of squares |
| keyword |
polynomial optimization |
| author
(primary) |
| ARLID |
cav_un_auth*0492160 |
| name1 |
Sehnalova |
| name2 |
K. |
| country |
CZ |
| share |
25 |
| garant |
K |
|
| author
|
| ARLID |
cav_un_auth*0015534 |
| name1 |
Henrion |
| name2 |
D. |
| country |
FR |
| share |
25 |
|
| author
|
| ARLID |
cav_un_auth*0468055 |
| name1 |
Korda |
| name2 |
M. |
| country |
FR |
| share |
25 |
|
| author
|
| ARLID |
cav_un_auth*0101142 |
| name1 |
Kružík |
| name2 |
Martin |
| institution |
UTIA-B |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| share |
25 |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| source |
|
| cas_special |
| project |
| project_id |
(ROBOPROX) CZ.02.01.01/00/22 008/0004590 |
| agency |
GA MŠk |
| country |
CZ |
| ARLID |
cav_un_auth*0487206 |
|
| project |
| project_id |
SGS25/145/OHK3/3T/13 |
| agency |
GA ČVUT |
| country |
CZ |
| ARLID |
cav_un_auth*0492495 |
|
| abstract
(eng) |
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. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
20000 |
| FORD1 |
20200 |
| FORD2 |
20204 |
| reportyear |
2026 |
| num_of_auth |
4 |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0369143 |
| confidential |
S |
| mrcbC91 |
A |
| mrcbT16-e |
AUTOMATION&CONTROLSYSTEMS |
| mrcbT16-f |
2.2 |
| mrcbT16-g |
0.2 |
| mrcbT16-h |
2.9 |
| mrcbT16-i |
0.01448 |
| mrcbT16-j |
0.928 |
| mrcbT16-k |
4962 |
| mrcbT16-q |
47 |
| mrcbT16-s |
1.064 |
| mrcbT16-y |
23.15 |
| mrcbT16-x |
2.42 |
| mrcbT16-3 |
4424 |
| mrcbT16-4 |
Q1 |
| mrcbT16-5 |
1.800 |
| mrcbT16-6 |
568 |
| mrcbT16-7 |
Q3 |
| mrcbT16-C |
48.9 |
| mrcbT16-M |
0.52 |
| mrcbT16-N |
Q2 |
| mrcbT16-P |
48.9 |
| arlyear |
2025 |
| mrcbU14 |
105005998860 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
001499517900006 WOS |
| mrcbU63 |
cav_un_epca*0543606 IEEE Control Systems Letters Roč. 9 č. 1 2025 288 293 2475-1456 Institute of Electrical and Electronics Engineers |
|