文章基本信息

标题：Global stabilization of a Korteweg-de Vries equation with a distributed control saturated in L 2-norm
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作者：Swann Marx ; Swann Marx ; Eduardo Cerpa 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2016
卷号：49
期号：18
页码：122-127
DOI：10.1016/j.ifacol.2016.10.150
语种：English
出版社：Elsevier
摘要：Abstract: This article deals with the design of saturated controls in the context of partial differential equations. It is focused on a Korteweg-de Vries equation, which is a nonlinear mathematical model of waves on shallow water surfaces. The aim of this article is to study the influence of a saturating in L 2-norm distributed control on the well-posedness and the stability of this equation. The well-posedness is proven applying a Banach fixed point theorem. The proof of the asymptotic stability of the closed-loop system is tackled with a Lyapunov function together with a sector condition describing the saturating input. Some numerical simulations illustrate the stability of the closed-loop nonlinear partial differential equation.
关键词：KeywordsPartial differential equationsaturation controlnonlinear control systemglobal stabilityLyapunov function