Construction of the Lyapunov function reflecting the physical properties of the model

0564009 - ÚTAM 2023 RIV CZ eng C - Conference Paper (international conference)
Náprstek, Jiří - Fischer, Cyril
Construction of the Lyapunov function reflecting the physical properties of the model.
Proceedings of Computational mechanics 2022. Plzeň: University of West Bohemia, 2022 - (Adámek, V.; Jonášová, A.; Plánička, S.; Zajíček, M.), s. 87-90. ISBN 978-80-261-1116-0.
[Computational mechanics 2022. Conference with international participation /37./. Srní (CZ), 07.11.2022-09.11.2022]
R&D Projects: GA ČR(CZ) GC21-32122J
Institutional support: RVO:68378297
Keywords : Lyapunov function * stability * spherical pendulum
OECD category: Civil engineering

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.
Permanent Link: https://hdl.handle.net/11104/0335767