ON THE ANALYSIS AND CONTROL OF HYPERBOLIC SYSTEMS ASSOCIATED WITH VIBRATING NETWORKS

被引：29

作者：

LAGNESE, JE ^{[1
]}

LEUGERING, G ^{[1
]}

SCHMIDT, EJPG ^{[1
]}

机构：

[1] MCGILL UNIV,DEPT MATH & STAT,MONTREAL H3A 2K6,QUEBEC,CANADA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1994年 / 124卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1017/S0308210500029206

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a general linear model for vibrating networks of one-dimensional elements is derived. This is applied to various situations including nonplanar networks of beams modelled by a three-dimensional variant on the Timoshenko beam, described for the first time in this paper. The existence and regularity of solutions is established for all the networks under consideration. The methods of first-order hyperbolic systems are used to obtain estimates from which exact controllability follows for networks containing no closed loops.

引用

页码：77 / 104

页数：28

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