Engineering Mechanics

International Conference

Proceedings Vol. 27/28 (2022)


ENGINEERING MECHANICS 2022

27/28th INTERNATIONAL CONFERENCE
May 9 – 12, 2022, Milovy, Czech Republic
;
Editors: Cyril Fischer and Jiří Náprstek

Copyright © 2022 Institute of Theoretical and Applied Mechanics of the Czech Academy of Sciences, Prague

ISBN 978-80-86246-48-2 (printed)
ISBN 978-80-86246-51-2 (electronic)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

Application of first integrals in the construction of the Lyapunov function for the random response stability testing
Náprstek J., Fischer C.
pages 281 - 284, full text

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.


back to list of papers

Ownership of copyright in original research articles remains with the Authors, and provided that, when reproducing parts of the contribution, the Authors acknowledge and/or reference the Proceedings, the Authors do not need to seek permission for re-use of their material.

All papers were reviewed by members of the scientific committee.


imce   Powered by Imce 3.13  © 2020, Pavel Formánek, Institute of Thermomechanics AS CR, v.v.i. [generated: 0.0306s]