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arXiv · 2409.11768

Rapid and finite-time boundary stabilization of a KdV system

Hoai-Minh Nguyen
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Abstract

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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Hoai-Minh Nguyen. 2024-09-18. Rapid and finite-time boundary stabilization of a KdV system. https://arxiv.org/abs/2409.11768

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