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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Application of first integrals in the construction of the Lyapunov function for the random response stability testing
Original language description
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.
Czech name
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Czech description
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Project
<a href="/en/project/GC21-32122J" target="_blank" >GC21-32122J: Vehicle scanning-based structure monitoring for cable supported bridges</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Engineering mechanics 2022. Book of full texts
ISBN
978-80-86246-48-2
ISSN
1805-8248
e-ISSN
1805-8256
Number of pages
4
Pages from-to
281-284
Publisher name
Institute of Theoretical and Applied Mechanics of the Czech Academy of Sciences
Place of publication
Prague
Event location
Milovy
Event date
May 9, 2022
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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