Stabilization of the pendulum system by coupling with a heat equation
Stabilization of the pendulum system by coupling with a heat equation
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DOI：
10.1177/1077546313485107
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发表时间：
2014-12
影响因子：
2.8
通讯作者：
Dong‐xia Zhao;Jun‐min Wang
中科院分区：
文献类型：
--
作者：
Dong‐xia Zhao;Jun‐min Wang
在这项工作中，我们通过与热方程的左边界观察结合使用热方程来研究摆系统的稳定化，而摆板系统的速度反馈旨在影响热方程的同一侧热通量。基于Semigroup方法和RIESZ基础方法，推导系统的适当性和指数稳定性。最后，提供了一些数值模拟，以显示此反馈控制设计的有效性。
In this work, we study the stabilization of a pendulum system by coupling with a heat equation through the left boundary observation of the heat equation, while a velocity feedback of the pendulum system is designed to affect the same side heat flux of the heat equation. Based on the semigroup approach and Riesz basis method, the well-posedness and exponential stability of the system is deduced. Finally, some numerical simulations are presented to show the effectiveness of this feedback control design.