Solving Unbounded Optimal Control Problems With the Moment-SOS Hierarchy

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/68407700:21110/25:00383744 RIV/68407700:21230/25:00383744

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Solving Unbounded Optimal Control Problems With the Moment-SOS Hierarchy

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Solving Unbounded Optimal Control Problems With the Moment-SOS Hierarchy

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20204 - Robotics and automatic control

Projekt

<a href="/cs/project/EH22_008%2F0004590" target="_blank" >EH22_008/0004590: Robotika a pokročilá průmyslová výroba</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

IEEE Control Systems Letters

ISSN

2475-1456

e-ISSN

—

Svazek periodika

9

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

6

Strana od-do

288-293

Kód UT WoS článku

001499517900006

EID výsledku v databázi Scopus

2-s2.0-105005998860