Optimal control of vibrations of an elastic beam

被引：5
|
作者：
Sun, Bing [1 ,2 ]
机构：
[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
[2] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2009年 / 26卷 / 02期
关键词：
non-linear elastic beam; optimal control; maximum principle; necessary condition; ONE SPACE DIMENSION; OPTIMAL BOUNDARY CONTROL; MAXIMUM PRINCIPLE; HYPERBOLIC EQUATION; STATE VARIABLES; NONLINEAR BEAM; RAYLEIGH BEAM; SYSTEMS; DOMAIN; BODY;
D O I：
10.1093/imamci/dnp002
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the optimal control problem of the vibrations of an elastic beam, which is governed by a non-linear partial differential equation. The functional analytical approach of Dubovitskii and Milyutin is adopted in investigation of the Pontryagin's maximum principle of the system. The necessary condition is presented for the optimal control problem in fixed final horizon case.
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页码：151 / 162
页数：12
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