Feedback boundary stabilization for the Hirota-Satsuma system with time-delay
Analysis of PDEs
2024-10-23 v2
Abstract
This work investigates the boundary stabilization problem of the Hirota-Satsuma system. In the problem under consideration, a boundary feedback law consisting of a linear combination of a damping mechanism and a time-delay term is designed. The study shows that, with time delay feedback and a smallness restriction on the size of the initial data the energy of the Hirota-Satsuma system decays exponentially by employing two approaches: the Lyapunov method and an observability inequality combined with a contradiction argument.
Cite
@article{arxiv.2408.15705,
title = {Feedback boundary stabilization for the Hirota-Satsuma system with time-delay},
author = {Victor Hugo Gonzalez Martinez and Juan Ricardo Muñoz},
journal= {arXiv preprint arXiv:2408.15705},
year = {2024}
}
Comments
submitted to Applied Mathematics Letters