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    Stochastic stabilization of slender beams in space: Modeling and boundary control

    66845.pdf (438.1Kb)
    Access Status
    Open access
    Authors
    Do, Khac Duc
    Lucey, Anthony
    Date
    2018
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Do, K.D. and Lucey, A. 2018. Stochastic stabilization of slender beams in space: Modeling and boundary control. Automatica. 91: pp. 279-293.
    Source Title
    Automatica
    DOI
    10.1016/j.automatica.2018.01.017
    ISSN
    0005-1098
    School
    School of Civil and Mechanical Engineering (CME)
    URI
    http://hdl.handle.net/20.500.11937/66644
    Collection
    • Curtin Research Publications
    Abstract

    This paper considers the problem of modeling and boundary feedback stabilization of extensible and shearable slender beams with large deformations and large rotations in space under both deterministic and stochastic loads induced by flows. Fully nonlinear equations of motion of the beams are first derived. Boundary feedback controllers are then designed for global practical exponential p-stabilization of the beams based on the Lyapunov direct method. A new Lyapunov-type theorem is developed to study well-posedness and stability of stochastic evolution systems (SESs) in Hilbert space.

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