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

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Partial Differential Equations: Theory, Control and Approximation

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.

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Author information

Authors and Affiliations

  1. Nonlinear Mathematical Modeling and Methods Laboratory, Shanghai Key Laboratory for Contemporary Applied Mathematic, School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Tatsien Li

  2. Institut de Recherche Mathématique Avancée, Université de Strasbourg, 67084, Strasbourg, France

    Bopeng Rao

Authors
  1. Tatsien Li
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  2. Bopeng Rao
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Corresponding author

Correspondence to Tatsien Li .

Editor information

Editors and Affiliations

  1. Dept. Mathematics, City University of Hong Kong, Hong Kong, Hong Kong SAR

    Philippe G. Ciarlet

  2. School of Mathematical Sciences, Fudan University, Shanghai, People's Republic of China

    Tatsien Li

  3. Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie(Paris VI), Paris, France

    Yvon Maday

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Li, T., Rao, B. (2014). Exact Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls. In: Ciarlet, P., Li, T., Maday, Y. (eds) Partial Differential Equations: Theory, Control and Approximation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41401-5_12

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