Spatio-Temporal Decomposition of Sum-of-Squares Programs for the Region of Attraction and Reachability
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F22%3A00351405" target="_blank" >RIV/68407700:21230/22:00351405 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1109/LCSYS.2021.3086585" target="_blank" >https://doi.org/10.1109/LCSYS.2021.3086585</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/LCSYS.2021.3086585" target="_blank" >10.1109/LCSYS.2021.3086585</a>
Alternative languages
Result language
angličtina
Original language name
Spatio-Temporal Decomposition of Sum-of-Squares Programs for the Region of Attraction and Reachability
Original language description
This letter presents a method for calculat- ing Region of Attraction of a target set (not necessar- ily an equilibrium) for controlled polynomial dynamical systems, using a hierarchy of semidefinite programming problems (SDPs). Our approach builds on previous work and addresses its main issue, the fast-growing memory demands for solving large-scale SDPs. The main idea in this work is in dissecting the original resource-demanding problem into multiple smaller, interconnected, and easier to solve problems. This is achieved by spatio-temporal split- ting akin to methods based on partial differential equations. We show that the splitting procedure retains the conver- gence and outer-approximation guarantees of the previous work, while achieving higher precision in less time and with smaller memory footprint.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
20205 - Automation and control systems
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
IEEE Control Systems Letters
ISSN
2475-1456
e-ISSN
2475-1456
Volume of the periodical
6
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
812-817
UT code for WoS article
000668835800053
EID of the result in the Scopus database
2-s2.0-85107355032