The stability for a one-dimensional wave equation with nonlinear uncertainty on the boundary

被引：9

作者：

Feng, Hongyinping ^{[1
]}

Li, Shengjia ^{[2
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

[2] Shanxi Univ, Res Inst Math & Appl Math, Taiyuan 030006, Shanxi, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 89卷

基金：

中国国家自然科学基金;

关键词：

High-gain; Nonlinear uncertainty; Wave equation; DISTURBANCE REJECTION CONTROL; UNIFORM STABILIZATION; HARMONIC DISTURBANCE; FEEDBACK; EXISTENCE; INPUT;

D O I：

10.1016/j.na.2013.05.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we are concerned with the boundary stabilization of a one-dimensional wave equation subject to boundary nonlinear uncertainty. The nonlinear uncertainty is first estimated in terms of the output, and then canceled by its estimates. We show that this strategy works well when the derivative of the uncertainty is bounded. (C) 2013 The Authors. Published by Elsevier Ltd. All rights reserved.

引用

页码：202 / 207

页数：6

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