Application of the Variational Method for Solving Inverse Problems of Optimal Control

被引：1
|
作者：
Ternovskii, V. V. [1 ]
Khapaev, M. M. [1 ]
Khapaeva, T. M. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia
来源：
DOKLADY MATHEMATICS | 2018年 / 98卷 / 03期
关键词：
D O I：
10.1134/S1064562418070219
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For optimal control problems, a new approach based on the search for an extremum of a special functional is proposed. The differential problem is reformulated as an ill-posed variational inverse problem. Taking into account ill-posedness leads to a stable numerical minimization procedure. The method developed has a high degree of generality, since it allows one to find special controls. Several examples of interest concerning the solution of classical optimal control problems are considered.
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页码：603 / 606
页数：4
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