论文标题

有关内部延迟的热弹性系统指数稳定性的注释

A note on exponential stability of a thermoelastic system with internal delay

论文作者

Khatir, Smain Moulay, Shel, Farhat

论文摘要

热弹性系统中延迟的存在破坏了热传导的良好和稳定作用。为了避免此问题,我们在延迟方程式中添加到系统中,kelvin-voigt阻尼。在本说明中,我们指出了这种系统的指数稳定性,以改善我们的纸张良好性和具有内部延迟的热弹性系统的指数稳定性(适用分析J 101,4851-4865,2022)。我们在稳定性的证明中使用频域方法。

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. In this note we point on the exponential stability of such system in order to improve the mean result in our paper Well-posedness and exponential stability of a thermoelastic system with internal delay (Applicable Analysis J 101, 4851-4865, 2022). We use a frequency domain method in the proof of stability.

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