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Stabilization of a suspension bridge with locally distributed damping

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Abstract

We study a nonlocal evolution equation modeling the deformation of a bridge, either a footbridge or a suspension bridge. Contrarily to the previous literature, we prove the exponential asymptotic stability of the considered model with a small amount of damping (namely, on a small collar around the whole boundary) which represents less cost of material.

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Authors and Affiliations

  1. Department of Mathematics, State University of Maringá, Maringá, PR, 87020-900, Brazil

    Marcelo M. Cavalcanti & Ryuichi Fukuoka

  2. Academic Department of Mathematics, Federal Technological University of Paraná, Campuses Campo Mourão, Campo Mourão, PR, 87301-899, Brazil

    Wellington J. Corrêa

  3. Department of Mathematics, Faculty of Sciences of Gabes, University of Gabes, 6029, Gabès, Tunisia

    Zayd Hajjej

Authors
  1. Marcelo M. Cavalcanti
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  2. Wellington J. Corrêa
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  3. Ryuichi Fukuoka
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  4. Zayd Hajjej
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Correspondence to Wellington J. Corrêa.

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Research of Marcelo M. Cavalcanti partially supported by the CNPq Grant 300631/2003-0.

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Cavalcanti, M.M., Corrêa, W.J., Fukuoka, R. et al. Stabilization of a suspension bridge with locally distributed damping. Math. Control Signals Syst. 30, 20 (2018). https://doi.org/10.1007/s00498-018-0226-0

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