KdV 系统的快速和有限时间边界稳定

arXiv - MATH - Optimization and Control Pub Date : 2024-09-18 DOI:arxiv-2409.11768

Hoai-Minh Nguyen

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引用次数: 0

摘要

我们利用格拉米安算子构建了轨迹意义上的静态反馈控制和动态反馈控制，以获得 KdV 系统的局部快速边界稳定。我们还构建了轨迹意义上的时变反馈控制和时变动态反馈控制，以实现同一系统的局部有限时间边界稳定。

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Rapid and finite-time boundary stabilization of a KdV system

We construct a static feedback control in a trajectory sense and a dynamic feedback control to obtain the local rapid boundary stabilization of a KdV system using Gramian operators. We also construct a time-varying feedback control in the trajectory sense and a time varying dynamic feedback control to reach the local finite-time boundary stabilization for the same system.

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arXiv - MATH - Optimization and Control

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