UNIFORM STABILIZATION OF A HYBRID SYSTEM OF ELASTICITY

被引：66

作者：

RAO, BP ^{[1
]}

机构：

[1] CNRS, F-67084 STRASBOURG, FRANCE

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1995年 / 33卷 / 02期

关键词：

HYBRID SYSTEM; LACK OF UNIFORM STABILIZATION; COMPACT PERTURBATION; HIGHER-ORDER FEEDBACKS; BOUNDARY MULTIPLIERS; UNIFORM DECAY OF ENERGY;

D O I：

10.1137/S0363012992239879

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of boundary feedback stabilization of a Euler-Bernoulli beam with an endmass is considered. Using a method of compact perturbation, the lack of uniform stabilization is proved in the case of a clamped beam with the usual boundary feedbacks applied to the end with the mass. Next, the uniform stabilization when the usual boundary feedbacks are applied to the end without the mass is proved. Also the uniform decay of energy by means of higher-order feedbacks applied to the end with the mass is established.

引用

页码：440 / 454

页数：15

共 18 条

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Brezis H., 1992, ANAL FONCTIONELLE

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