Optimal Control of Nonsmooth Dynamical Systems using Measure Relaxations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00388303" target="_blank" >RIV/68407700:21230/24:00388303 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/CDC56724.2024.10885896" target="_blank" >http://dx.doi.org/10.1109/CDC56724.2024.10885896</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/CDC56724.2024.10885896" target="_blank" >10.1109/CDC56724.2024.10885896</a>

Result language
angličtina
Original language name
Optimal Control of Nonsmooth Dynamical Systems using Measure Relaxations
Original language description
We address the problem of optimal control of a nonsmooth dynamical system described by an evolution variational inequality. We consider both the discrete-time and continuous-time versions of the problem and we relax the problem in the space of measures. We show that there is no gap between the original finite-dimensional problem and the relaxed problem. We show the convergence of the relaxed discrete-time optimal control in measures to continuous-time optimal control in measures. This paves the way to a sound implementation of the moment sum-of-squares hierarchy to solve numerically the optimal control of nonsmooth dynamical systems.
Czech name
—
Czech description
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Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

Article name in the collection
Proceedings of the 2024 IEEE 63rd Conference on Decision and Control
ISBN
979-8-3503-1634-6
ISSN
0743-1546
e-ISSN
2576-2370
Number of pages
6
Pages from-to
888-893
Publisher name
IEEE
Place of publication
Piscataway
Event location
Milan
Event date
Dec 16, 2024
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
001445827200112

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