Exponential stabilization of a linear Korteweg-de Vries equation with input saturation | Zendy

Ahmat Mahamat Taboye | Zendy; Mohamed Laabissi | Zendy

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Exponential stabilization of a linear Korteweg-de Vries equation with input saturation

Author(s) -

Ahmat Mahamat Taboye,

Mohamed Laabissi

Publication year - 2021

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.

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