On the Synchronizable System

Chinese Annals of Mathematics, Series B volume 41, pages821–828(2020)Cite this article

Abstract

In this paper, the synchronizable system is defined and studied for a coupled system of wave equations with the same wave speed or with different wave speeds.

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References

  1. [1]

    Li, T. T. and Rao, B. P., Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls, Chin. Ann. Math. Ser. B, 34(1), 2013, 139–160.

    MathSciNet  Article  Google Scholar 

  2. [2]

    Li, T. T. and Rao, B. P., Boundary Synchronization for Hyperbolic Systems, Progress in Nonlinear Differential Equations and Their Applications, Subseries in Control, 94, Birkhäuser, 2019.

  3. [3]

    Li, T. T., Lu, X. and Rao, B. P., Exact boundary synchronization for a coupled system of wave equations with Neumann boundary controls, Chin. Ann. Math. Ser. B, 39(2), 2018, 233–252.

    MathSciNet  Article  Google Scholar 

  4. [4]

    Li, T. T., Lu, X. and Rao, B. P., Exact boundary controllability and exact boundary synchronization for a coupled system of wave equations with coupled Robin boundary controls, to appear in ESAIM: Control, Optimisation and Calculus of Variations (2020). DOI: https://doi.org/10.1051/cocv/2020047.

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Author information

Affiliations

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

    Zhen Lei & Tatsien Li

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

    Zhen Lei & Tatsien Li

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

    Bopeng Rao

Authors
  1. Zhen Lei
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  2. Tatsien Li
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  3. Bopeng Rao
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Corresponding author

Correspondence to Tatsien Li.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11831011, 11725102).

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Cite this article

Lei, Z., Li, T. & Rao, B. On the Synchronizable System. Chin. Ann. Math. Ser. B 41, 821–828 (2020). https://doi.org/10.1007/s11401-020-0235-4

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Keywords

  • Synchronizable system
  • Synchronization solution
  • Coupled system of wave equations
  • Exact boundary synchronization

2000 MR Subject Classification

  • 35L05
  • 35L53
  • 93B05
  • 93C20