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Exact Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls

In: Partial Differential Equations: Theory, Control and Approximation

Author

Listed:
  • Tatsien Li

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

  • Bopeng Rao

    (Université de Strasbourg, Institut de Recherche Mathématique Avancée)

Abstract

In this paper, the exact synchronization for a coupled system of wave equations with Dirichlet boundary controls and some related concepts are introduced. By means of the exact null controllability of a reduced coupled system, under certain conditions of compatibility, the exact synchronization, the exact synchronization by groups, and the exact null controllability and synchronization by groups are all realized by suitable boundary controls.

Suggested Citation

  • Tatsien Li & Bopeng Rao, 2014. "Exact Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls," Springer Books, in: Philippe G. Ciarlet & Tatsien Li & Yvon Maday (ed.), Partial Differential Equations: Theory, Control and Approximation, edition 127, pages 295-321, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-41401-5_12
    DOI: 10.1007/978-3-642-41401-5_12
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