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Exact Boundary Controllability for the Spatial Vibration of String with Dynamical Boundary Conditions

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Abstract

This paper deals with the spatial vibration of an elastic string with masses at the endpoints. The authors derive the corresponding quasilinear wave equation with dynamical boundary conditions, and prove the exact boundary controllability of this system by means of a constructive method with modular structure.

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Authors and Affiliations

  1. Department of Mathematics, Friedrich-Alexander University, Erlangen, 91058, Germany

    Yue Wang

  2. Department of Mathematics, Friedrich-Alexander University, Erlangen-Nuremberg, Cauerstrasse 11, 91058, Erlangen, Germany

    Günter Leugering

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

    Yue Wang & Tatsien Li

  4. Shanghai Key Laboratory for Contemporary Applied Mathematic; Nonlinear Mathematical Modeling and Methods Laboratory, Shanghai, China

    Tatsien Li

Authors
  1. Yue Wang
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  2. Günter Leugering
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  3. Tatsien Li
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Corresponding authors

Correspondence to Yue Wang, Günter Leugering or Tatsien Li.

Additional information

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

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Wang, Y., Leugering, G. & Li, T. Exact Boundary Controllability for the Spatial Vibration of String with Dynamical Boundary Conditions. Chin. Ann. Math. Ser. B 41, 325–334 (2020). https://doi.org/10.1007/s11401-020-0201-1

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  • DOI: https://doi.org/10.1007/s11401-020-0201-1

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