Control of Kawahara equation using flat outputs
Analysis of PDEs
2024-07-16 v1 Optimization and Control
Abstract
In this study we focused on the linear Kawahara equation in a bounded domain, employing two boundary controls. The controllability of this system has been previously demonstrated over the past decade using the Hilbert uniqueness method which involves proving an observability inequality, in general, demonstrated via Carleman estimates. Here, we extend this understanding by achieving the exact controllability within a space of analytic functions, employing the flatness approach which is a new approach for higher-order dispersive systems.
Cite
@article{arxiv.2407.10942,
title = {Control of Kawahara equation using flat outputs},
author = {Roberto de A. Capistrano-Filho and Jandeilson Santos da Silva},
journal= {arXiv preprint arXiv:2407.10942},
year = {2024}
}
Comments
30 pages. Comments are welcome