Towards optimal spatio-temporal decomposition of control-related sum-of-squares programs

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Towards optimal spatio-temporal decomposition of control-related sum-of-squares programs

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Towards optimal spatio-temporal decomposition of control-related sum-of-squares programs

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

International Journal of Robust and Nonlinear Control

ISSN

1049-8923

e-ISSN

1099-1239

Svazek periodika

34

Číslo periodika v rámci svazku

18

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

21

Strana od-do

11847-11867

Kód UT WoS článku

001309139200001

EID výsledku v databázi Scopus

2-s2.0-85203500333