English

Rapid and finite-time boundary stabilization of a KdV system

Optimization and Control 2024-09-19 v1

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.

Keywords

Cite

@article{arxiv.2409.11768,
  title  = {Rapid and finite-time boundary stabilization of a KdV system},
  author = {Hoai-Minh Nguyen},
  journal= {arXiv preprint arXiv:2409.11768},
  year   = {2024}
}