Analyzing stochastic stability of a gyroscope through the stochastic Lyapunov function

0577241 - ÚTAM 2024 RIV CZ eng C - Conference Paper (international conference)
Náprstek, Jiří - Fischer, Cyril
Analyzing stochastic stability of a gyroscope through the stochastic Lyapunov function.
Computational mechanics 2023. Proceedings of computational mechanics 2023. Plzeň: University of West Bohemia, 2023 - (Adámek, V.; Jonášová, A.; Plánička, S.), s. 139-142. ISBN 978-80-261-1177-1.
[Computational mechanics 2023 /38./. Srní (CZ), 23.10.2023-25.10.2023]
R&D Projects: GA ČR(CZ) GC21-32122J
Institutional support: RVO:68378297
Keywords : stochastic stability * Lyapunov function * first integral * gyroscope
OECD category: Civil engineering

The text delves into the application of first integrals in the construction of Lyapunov functions for analyzing the stability of dynamic systems in stochastic domains. It emphasizes the distinct characteristics of first integrals that warrant the introduction of additional constraints to ensure the essential properties required for a Lyapunov function. These constraints possess physical interpretations associated with system stability. The general approach to testing stochastic stability is illustrated using the example of a 3-degrees-of-freedom system representing a gyroscope.
Permanent Link: https://hdl.handle.net/11104/0346451