Exact Controllability of Wave Equations with Interior Degeneracy and One-Sided Boundary Control

被引：0
作者：
Jinyan Bai
Shugen Chai
机构：
[1] Shanxi University,School of Mathematical Sciences
[2] Jinzhong University,School of Mathematics
来源：
Journal of Systems Science and Complexity | 2023年 / 36卷
关键词：
Boundary control; degenerate wave equation; exact controllability; interior degeneracy;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the authors mainly consider the exact controllability for degenerate wave equation, which degenerates at the interior point, and boundary controls acting at only one of the boundary points. The main results are that, it is possible to control both the position and the velocity at every point of the body and at a certain time T for the wave equation with interior weakly degeneracy. Moreover, it is shown that the exact controllability fails for the wave equation with interior strongly degeneracy. In order to steer the system to a certain state, one needs controls to act on both boundary points for the wave equation with interior strongly degeneracy. The difficulties are addressed by means of spectral analysis.
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页码：656 / 671
页数：15
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