Original title: Construction of the Lyapunov function reflecting the physical properties of the model
Authors: Náprstek, Jiří ; Fischer, Cyril
Document type: Papers
Conference/Event: Computational mechanics 2022. Conference with international participation /37./, Srní (CZ), 20221107
Year: 2022
Language: eng
Abstract: Practical experience shows that the random excitation component can affect the system response and its dynamic stability not only negatively but also positively. Such mechanisms are usually developed heuristically and are often not sufficiently justified theoretically. The paper presents a possibility of using the properties of first integrals for the construction of a Lyapunov function for the analysis of a dynamic system stability in the stochastic domain. In such case, the Lyapunov function itself contains information on the examined system and, consequently, it is able to provide a more detailed insight into the system stability properties. The procedure is illustrated by a nonlinear SDOF example.
Keywords: Lyapunov function; spherical pendulum; stability
Project no.: GC21-32122J (CEP)
Funding provider: GA ČR
Host item entry: Proceedings of Computational mechanics 2022, ISBN 978-80-261-1116-0

Institution: Institute of Theoretical and Applied Mechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: https://hdl.handle.net/11104/0335767

Permalink: http://www.nusl.cz/ntk/nusl-511553


The record appears in these collections:
Research > Institutes ASCR > Institute of Theoretical and Applied Mechanics
Conference materials > Papers