BOUNDARY CONTROLLABILITY OF NONLINEAR BEAMS TO BOUNDED STATES

被引：6
作者：
LAGNESE, JE
机构：
[1] Department of Mathematics, Georgetown University, Washington
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1991年 / 119卷
关键词：
D O I：
10.1017/S0308210500028316
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Considered is a nonlinear model which describes the dynamic behaviour of the not necessarily small longitudinal and transverse displacements of a thin, cantilevered beam. The motion of the beam is driven by a bending moment, an axial force and a vertical shear force that act at the free end of the beam. The main goal is to describe the reachable set of the system, that is, the set of all states that can be reached by varying the end forces within a certain set of admissible controls.
引用
收藏
页码：63 / 72
页数：10
相关论文
共 11 条
[1]   CONTROLLABILITY OF NONLINEAR-WAVE EQUATION IN SEVERAL SPACE VARIABLES [J].
CHEWNING, WC .
SIAM JOURNAL ON CONTROL, 1976, 14 (01) :19-25
[2]   THE REACHABILITY PROBLEM FOR THERMOELASTIC PLATES [J].
LAGNESE, JE .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1990, 112 (03) :223-267
[3]  
LAGNESE JE, 1989, STUDIES APPLIED MATH, V10
[4]  
LAGNESE JE, 1990, DISTRIBUTED PARAMETE, P61
[5]  
Lagnese JE., 1988, MODELLING ANAL CONTR, V6
[6]  
Lions J.-L., 1988, RECHERCHES MATH APPL, V8
[7]  
[No title captured]
[8]  
[No title captured]
[9]  
[No title captured]
[10]  
[No title captured]
12