• DocumentCode
    2656319
  • Title

    Stabilization of the nonlinear elastodynamic system with a boundary dissipation

  • Author

    Zhifei, Zhang ; Pengfei, Yao

  • Author_Institution
    Acad. of Math. & Syst. Sci., Chinese Acad. of Sci., Beijing
  • fYear
    2008
  • fDate
    16-18 July 2008
  • Firstpage
    577
  • Lastpage
    579
  • Abstract
    We consider the existence of global solutions of the nonlinear elastodynamic system with a boundary dissipation structure when initial data are small. The medium material is assumed to be isotropic and hyperelastic. We show the existence of global smooth solutions. In particular, we obtain the exponential decay of the energy, which implies the exponential stabilization of the system by boundary feedback.
  • Keywords
    asymptotic stability; elastodynamics; feedback; nonlinear control systems; boundary dissipation structure; boundary feedback; energy decay; exponential stabilization; nonlinear elastodynamic system stabilization; Control systems; Damping; Elasticity; Elastodynamics; Feedback; Laboratories; Mathematics; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear equations; Dissipative boundary structure; Energy estimate; Nonlinear elastodynamic systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference, 2008. CCC 2008. 27th Chinese
  • Conference_Location
    Kunming
  • Print_ISBN
    978-7-900719-70-6
  • Electronic_ISBN
    978-7-900719-70-6
  • Type

    conf

  • DOI
    10.1109/CHICC.2008.4604943
  • Filename
    4604943
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2656319