Peak Time-Windowed Mean Estimation using Convex Optimization

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00382534" target="_blank" >RIV/68407700:21230/24:00382534 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1109/CDC56724.2024.10885882" target="_blank" >https://doi.org/10.1109/CDC56724.2024.10885882</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/CDC56724.2024.10885882" target="_blank" >10.1109/CDC56724.2024.10885882</a>

Result language
angličtina
Original language name
Peak Time-Windowed Mean Estimation using Convex Optimization
Original language description
This paper presents an algorithmic approach towards bounding the peak time-windowed average value attained by a state function along trajectories of a dynamical system. An example includes the maximum average current flowing across a power line in any 5 -minute window. The peak time-windowed mean estimation task may be posed as a finite-dimensional but nonconvex optimization problem in terms of an initial condition and stopping time. This problem can be lifted into an infinite-dimensional linear program in occupation measures, where no conservatism is introduced under compactness and dynamical regularity assumptions. The peak time-windowed mean estimation linear program is in turn truncated into a convergent sequence of semidefinite programs using the moment-Sum-of-Squares hierarchy. Bounds of the time-windowed mean are computed for example systems.
Czech name
—
Czech description
—

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 63rd IEEE Conference on Decision and Control
ISBN
979-8-3503-1633-9
ISSN
0743-1546
e-ISSN
2576-2370
Number of pages
6
Pages from-to
703-708
Publisher name
IEEE
Place of publication
Piscataway
Event location
Milan Convention Centre
Event date
Dec 16, 2024
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
—

Similar results(10)