Original title: Analyzing stochastic stability of a gyroscope through the stochastic Lyapunov function
Authors: Náprstek, Jiří ; Fischer, Cyril
Document type: Papers
Conference/Event: Computational mechanics 2023 /38./, Srní (CZ), 20231023
Year: 2023
Language: eng
Abstract: 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.
Keywords: first integral; gyroscope; Lyapunov function; stochastic stability
Project no.: GC21-32122J (CEP)
Funding provider: GA ČR
Host item entry: Computational mechanics 2023. Proceedings of computational mechanics 2023, ISBN 978-80-261-1177-1

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/11104/0346451

Permalink: http://www.nusl.cz/ntk/nusl-536842


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Research > Institutes ASCR > Institute of Theoretical and Applied Mechanics
Conference materials > Papers