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The presence of a delay in a thermoelastic system destroys the well-posedness and the stabilizing effect of the heat conduction. To avoid this problem, we add to the system, at the delayed equation, a Kelvin–Voigt damping. We prove the exponential stability of such system for an appropriate damping coefficient by using a frequency-domain method.

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On Exponential Stability of a Delayed Thermoelastic System

  • 会议论文

  • 发表日期：

    2025年

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  • Smain Moulay Khatir,
  • Farhat Shel

摘要

The presence of a delay in a thermoelastic system destroys the well-posedness and the stabilizing effect of the heat conduction. To avoid this problem, we add to the system, at the delayed equation, a Kelvin–Voigt damping. We prove the exponential stability of such system for an appropriate damping coefficient by using a frequency-domain method.