An approach problem for a control system with an unknown parameter

被引：14

作者：

Ershov, A. A. ^{[1
]}

Ushakov, V. N. ^{[1
]}

机构：

[1] Russian Acad Sci, Ural Branch, Krasovskii Inst Math & Mech, Ekaterinburg, Russia

来源：

SBORNIK MATHEMATICS | 2017年 / 208卷 / 09期

基金：

俄罗斯科学基金会;

关键词：

control; control system; differential inclusion; approach problem; target set; unknown constant parameter; GAME;

D O I：

10.1070/SM8761

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A control system with an unknown constant parameter is considered on a finite time interval. In the paper the solvability set is taken to contain only those initial positions of the system such that for each admissible value of the parameter a control taking the system to a prescribed target set exists. A numerical algorithm is designed that constructs an approximate solution, that is, a control on a prescribed interval of time which ensures that the motion of the control system occurs in a certain small neighbourhood of the target set.

引用

页码：1312 / 1352

页数：41