Towards optimal spatio-temporal decomposition of control-related sum-of-squares programs
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00377234" target="_blank" >RIV/68407700:21230/24:00377234 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/rnc.7596" target="_blank" >https://doi.org/10.1002/rnc.7596</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/rnc.7596" target="_blank" >10.1002/rnc.7596</a>
Alternative languages
Result language
angličtina
Original language name
Towards optimal spatio-temporal decomposition of control-related sum-of-squares programs
Original language description
This paper presents a method for calculating the Region of Attraction (ROA) of nonlinear dynamical systems, both with and without control. The ROA is determined by solving a hierarchy of semidefinite programs (SDPs) defined on a splitting of the time and state space. Previous works demonstrated that this splitting could significantly enhance approximation accuracy, although the improvement was highly dependent on the ad-hoc selection of split locations. In this work, we eliminate the need for this ad-hoc selection by introducing an optimization-based method that performs the splits through conic differentiation of the underlying semidefinite programming problem. We provide the differentiability conditions for the split ROA problem, prove the absence of a duality gap, and demonstrate the effectiveness of our method through numerical examples.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science 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
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Robust and Nonlinear Control
ISSN
1049-8923
e-ISSN
1099-1239
Volume of the periodical
34
Issue of the periodical within the volume
18
Country of publishing house
US - UNITED STATES
Number of pages
21
Pages from-to
11847-11867
UT code for WoS article
001309139200001
EID of the result in the Scopus database
2-s2.0-85203500333