Construction of Lyapunov functions from first integrals for stochastic stability analysis

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F25%3A00643448" target="_blank" >RIV/68378297:_____/25:00643448 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.24132/acm.2025.1026" target="_blank" >https://doi.org/10.24132/acm.2025.1026</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.24132/acm.2025.1026" target="_blank" >10.24132/acm.2025.1026</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Construction of Lyapunov functions from first integrals for stochastic stability analysis

Popis výsledku v původním jazyce

This paper explores the application of first integrals in constructing Lyapunov functions for stability analysis of dynamical systems in stochastic domains. A key advantage of using first integrals is their ability to embed system-specific structural and physical information, distinguishing the resulting Lyapunov functions from generic positive definite functions with no intrinsic connection to the system. However, since first integrals do not inherently satisfy Lyapunov conditions, additional constraints—often with direct physical interpretations—must be introduced to ensure positive definiteness and suitable monotonic behavior. The method is demonstrated on three mechanical systems subjected to parametric noise: a nonlinear aeroelastic single-degree-of-freedom oscillator, a spherical pendulum with two first integrals, and a gyroscope with three first integrals.

Název v anglickém jazyce

Construction of Lyapunov functions from first integrals for stochastic stability analysis

Popis výsledku anglicky

This paper explores the application of first integrals in constructing Lyapunov functions for stability analysis of dynamical systems in stochastic domains. A key advantage of using first integrals is their ability to embed system-specific structural and physical information, distinguishing the resulting Lyapunov functions from generic positive definite functions with no intrinsic connection to the system. However, since first integrals do not inherently satisfy Lyapunov conditions, additional constraints—often with direct physical interpretations—must be introduced to ensure positive definiteness and suitable monotonic behavior. The method is demonstrated on three mechanical systems subjected to parametric noise: a nonlinear aeroelastic single-degree-of-freedom oscillator, a spherical pendulum with two first integrals, and a gyroscope with three first integrals.

Druh

J_ost - Ostatní články v recenzovaných periodicích

CEP obor

—

OECD FORD obor

20101 - Civil engineering

Projekt

<a href="/cs/project/GA24-13061S" target="_blank" >GA24-13061S: Kombinované účinky aeroelastických nestabilit na stavební konstrukce</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Applied and Computational Mechanics

ISSN

1802-680X

e-ISSN

—

Svazek periodika

19

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

18

Strana od-do

177-194

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-105029790259