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Exponential stability of a kind of wave equation with boundary feedback control

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Abstract

The problem of exponential stability of a kind of wave equation with damping and boundary output feedback control is investigated. The spectral structure of the system operator is analyzed and it is shown that the c0-semigroup generated by the system operator is exponential stable if only the coefficients viscous damping and boundary feedback control are not zeros simultaneously.

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Authors and Affiliations

  1. Faculty of science, Xi’an Jiaotong University, 710049, Xi’an, China

    Jia Jun-guo & Wang Mian-sen

  2. Department of mathematics, Zhengzhou University, 450002, Zhengzhou, China

    Jia Jun-guo

Authors
  1. Jia Jun-guo
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  2. Wang Mian-sen
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Correspondence to Jia Jun-guo.

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Jun-guo, J., Mian-sen, W. Exponential stability of a kind of wave equation with boundary feedback control. J. Appl. Math. Comput. 22, 267–276 (2006). https://doi.org/10.1007/BF02832052

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  • DOI: https://doi.org/10.1007/BF02832052

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