Using Galerkin Method for Solving Linear Optimal Control Problems

被引：0
|
作者：
Liverovskiy, D., I [1 ]
Shevirev, S. P. [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, 83 Astrakhanskaya Str, Saratov 410012, Russia
来源：
IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA | 2014年 / 14卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
optimal control; linear system; Galerkin method;
D O I：
10.18500/1816-9791-2014-14-3-340-349
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The linear optimal control problem is considered. Duration of the controlled process is fixed. It is necessary to minimize the functional, that characterizes the energy consumption. A method of constructing an approximate solution based on the Galerkin method is proposed. Examples of numerical solutions of the problem are given.
引用
收藏
页码：340 / 349
页数：10
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