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    Stochastic boundary control design for Timoshenko beams with large motions

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    Fulltext not available
    Authors
    Do, Khac Duc
    Date
    2017
    Type
    Journal Article
    
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    Citation
    Do, K.D. 2017. Stochastic boundary control design for Timoshenko beams with large motions. Journal of Sound and Vibration. 402: pp. 164-184.
    Source Title
    Journal of Sound and Vibration
    DOI
    10.1016/j.jsv.2017.05.003
    ISSN
    0022-460X
    School
    School of Civil and Mechanical Engineering (CME)
    URI
    http://hdl.handle.net/20.500.11937/61528
    Collection
    • Curtin Research Publications
    Abstract

    This paper considers modeling and boundary control of Timoshenko beams with large motions under both deterministic and stochastic external loads. The original nonlinear partial differential equations governing motion of the beams are derived and used in the control design. The control design is based on the Lyapunov direct method. The proposed controllers guarantee globally practically K 8 -exponentially p-stability of the beam motions at the reference state. Well-posedness and stability are analyzed based on a Lyapunov-type theorem developed to study well-posedness and stability for a class of stochastic evolution systems in Hilbert space. Simulation results are included to illustrate the effectiveness of the proposed control design.

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