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Approximate Boundary Null Controllability and Approximate Boundary Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls

In: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan

Author

Listed:
  • Tatsien Li

    (Fudan University, School of Mathematical Sciences
    Shanghai Key Laboratory for Contemporary Applied Mathematics
    Nonlinear Mathematical Modeling and Methods Laboratory)

  • Xing Lu

    (Fudan University, School of Mathematical Sciences)

  • Bopeng Rao

    (Fudan University, School of Mathematical Sciences
    Université de Strasbourg, Institut de Recherche Mathématique Avancée)

Abstract

In this paper, for a coupled system of wave equations with Neumann boundary controls, the approximate boundary null controllability, the approximate boundary synchronization and the approximate boundary synchronization by groups are taken into account, respectively. Like in the case with Dirichlet boundary controls, the corresponding conditions of compatibility, and the criteria of Kalman’s type as necessary conditions are obtained. The sufficiency of Kalman’s criteria is further discussed in one dimensional space.

Suggested Citation

  • Tatsien Li & Xing Lu & Bopeng Rao, 2018. "Approximate Boundary Null Controllability and Approximate Boundary Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls," Springer Books, in: Josef Dick & Frances Y. Kuo & Henryk Woźniakowski (ed.), Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, pages 837-868, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-72456-0_37
    DOI: 10.1007/978-3-319-72456-0_37
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