Two game-theoretic problems of approach

被引：5
|
作者：
Ershov, A. A. [1 ]
Ushakov, A., V [1 ]
Ushakov, V. N. [1 ]
机构：
[1] Russian Acad Sci, Ural Branch, NN Krasovskii Inst Math & Mech, Ekaterinburg, Russia
来源：
SBORNIK MATHEMATICS | 2021年 / 212卷 / 09期
基金：
俄罗斯科学基金会;
关键词：
control system; target set; game-theoretic problem of approach; differential inclusion; solvability set; DIFFERENTIAL-GAMES;
D O I：
10.1070/SM9496
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A nonlinear conflict control system in a finite-dimensional Euclidean space on a finite time interval is considered. Two interrelated game-theoretic problems of making a system approach a compact set at a fixed moment of time are studied. A method for constructing approximate solutions to game problems of approach is presented. Most attention is paid to problems related to constructing approximations of the solvability sets of game problems in the phase space. Bibliography: 35 titles.
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页码：1228 / 1260
页数：33
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