Original title: Application of first integrals in the construction of the Lyapunov function for the random response stability testing
Authors: Náprstek, Jiří ; Fischer, Cyril
Document type: Papers
Conference/Event: International Conference Engineering mechanics 2022, Milovy (CZ), 20220509
Year: 2022
Language: eng
Abstract: 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.
Keywords: cyclic coordinates; first integrals; Lyapunov function; stochastic stability
Project no.: GC21-32122J (CEP)
Funding provider: GA ČR
Host item entry: Engineering mechanics 2022. Book of full texts, ISBN 978-80-86246-48-2, ISSN 1805-8248
Note: Související webová stránka: https://www.engmech.cz/im/proceedings/show_p/2022/281

Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0331328

Permalink: http://www.nusl.cz/ntk/nusl-508578


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Conference materials > Papers