论文标题

通过切换时间延迟对一维波方程的边界稳定:理论和数值研究

Boundary stabilization of a one-dimensional wave equation by a switching time-delay: a theoretical and numerical study

论文作者

Ammari, Kaïs, Chentouf, Boumediène, Smaoui, Nejib

论文摘要

本文涉及一维波方程的边界稳定问题,在边界中具有切换时间延迟。我们表明,从线性运算符的半群理论意义上讲,这个问题是良好的。然后,我们对在适当的延迟系数下的指数稳定性提供了理论和数值研究。

This paper deals with the boundary stabilization problem of a one-dimensional wave equation with a switching time-delay in the boundary. We show that the problem is well-posed in the sense of semigroups theory of linear operators. Then, we provide a theoretical and numerical study of the exponential stability of the system under an appropriate delay coefficient.

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