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Exact Internal Controllability and Synchronization for a Coupled System of Wave Equations

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Abstract

In this paper the exact internal controllability for a coupled system of wave equations with arbitrarily given coupling matrix is established. Based on this result, the exact internal synchronization and the exact internal synchronization by p-groups are successfully considered.

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Author information

Authors and Affiliations

  1. School of Mathematics, Hohai University, Nanjing, 211100, China

    Chengxia Zu

  2. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Tatsien Li

  3. Nonlinear Mathematical Modeling and Methods Laboratory, Shanghai Key Laboratory for Contemporary Applied Mathematics, Shanghai, 200433, China

    Tatsien Li

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

    Bopeng Rao

Authors
  1. Chengxia Zu
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  2. Tatsien Li
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  3. Bopeng Rao
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Corresponding author

Correspondence to Tatsien Li.

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Conflicts of interest Tatsien LI is an editor-in-chief for Chinese Annals of Mathematics Series B and was not involved in the editorial review or the decision to publish this article. All authors declare that there are no conflicts of interest.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 11831011).

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Zu, C., Li, T. & Rao, B. Exact Internal Controllability and Synchronization for a Coupled System of Wave Equations. Chin. Ann. Math. Ser. B 44, 641–662 (2023). https://doi.org/10.1007/s11401-023-0036-7

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  • DOI: https://doi.org/10.1007/s11401-023-0036-7

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