Adaptive stabilization of the Korteweg-de Vries-Burgers equation with unknown dispersion
type: Item
instance of: scholarly article
title: Adaptive stabilization of the Korteweg-de Vries-Burgers equation with unknown dispersion
zbMATH Open document ID: 1251.93061
DOI: 10.1155/2012/389450
author: Xiaoyan Deng
author: Wenxia Chen
author: Lixin Tian
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We study the adaptive control problem of the Korteweg-de Vries-Burgers equation. Using the Lyapunov function method, we prove that the closed-loop system including the parameter estimator as a dynamic component is globally stable. Furthermore, we show that the state of the system is regulated to zero by developing an alternative to Barbalat's lemma which cannot be used in the present situation. The closed-loop system is shown to be well posed.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 6106197
zbMATH Keywords: adaptive control problem
zbMATH Keywords: Korteweg-de Vries-Burgers equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/389450
OpenAlex ID: W2043967263
Wikidata QID: Q58906812
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DBLP publication ID: journals/jam/DengTC12
description: scientific article; zbMATH DE number 6106197