Open AccessExponential stabilization of a linear Korteweg-de Vries equation with input saturation
Author(s) -
Ahmat Mahamat Taboye,
Mohamed Laabissi
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2021052
Subject(s) - saturation (graph theory) , exponential stability , korteweg–de vries equation , mathematics , exponential function , exponential growth , mathematical analysis , stability (learning theory) , mathematical physics , nonlinear system , physics , computer science , combinatorics , quantum mechanics , machine learning
This article deals with the issue of the exponential stability of a linear Korteweg-de Vries equation with input saturation. It is proved that the system is well-posed and the origin is exponentially stable for the closed loop system, by using the classical argument used in this kind of problems.