Application of first integrals in the construction of the Lyapunov function for the random response stability testing

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F22%3A00557023" target="_blank" >RIV/68378297:_____/22:00557023 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.engmech.cz/im/proceedings/show_p/2022/281" target="_blank" >https://www.engmech.cz/im/proceedings/show_p/2022/281</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21495/51-2-281" target="_blank" >10.21495/51-2-281</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Application of first integrals in the construction of the Lyapunov function for the random response stability testing

Popis výsledku v původním jazyce

The paper deals with a possibility of using the properties of first integrals for the construction of Lyapunov function for the analysis of a dynamic system stability in the stochastic domain. It points out certain characteristics of first integrals resulting in the necessity to introduce additional constraints to assure the principal properties of the Lyapunov function. A number of these constraints has their physical interpretation with reference to system stability. The advantage of this method constructing the Lyapunov function consists in the fact that the Lyapunov function itself contains information on the examined system and, consequently, it is not merely a positive definite function without any relation to the actual case concerned. The presented theory finds application in many dynamical systems. The procedure is illustrated by a nonlinear SDOF example.

Název v anglickém jazyce

Application of first integrals in the construction of the Lyapunov function for the random response stability testing

Popis výsledku anglicky

The paper deals with a possibility of using the properties of first integrals for the construction of Lyapunov function for the analysis of a dynamic system stability in the stochastic domain. It points out certain characteristics of first integrals resulting in the necessity to introduce additional constraints to assure the principal properties of the Lyapunov function. A number of these constraints has their physical interpretation with reference to system stability. The advantage of this method constructing the Lyapunov function consists in the fact that the Lyapunov function itself contains information on the examined system and, consequently, it is not merely a positive definite function without any relation to the actual case concerned. The presented theory finds application in many dynamical systems. The procedure is illustrated by a nonlinear SDOF example.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

20101 - Civil engineering

Projekt

<a href="/cs/project/GC21-32122J" target="_blank" >GC21-32122J: Monitorování stavu závěsné mostni konstrukce skenování vozidlem</a><br>

Návaznosti

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

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název statě ve sborníku

Engineering mechanics 2022. Book of full texts

ISBN

978-80-86246-48-2

ISSN

1805-8248

e-ISSN

1805-8256

Počet stran výsledku

4

Strana od-do

281-284

Název nakladatele

Institute of Theoretical and Applied Mechanics of the Czech Academy of Sciences

Místo vydání

Prague

Místo konání akce

Milovy

Datum konání akce

9. 5. 2022

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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