ON A DYNAMIC GAME PROBLEM WITH AN INDECOMPOSABLE SET OF DISTURBANCES

For an abstract dynamic system, a game problem of retention of the motions in a given set of the motion histories is considered. The case of an indecomposable set of disturbances is studied. The set of successful solvability and a construction of a resolving quasistrategy based on the method of prog...

Full description

Bibliographic Details
Main Author: Dmitriy A. Serkov
Format: Article
Language:English
Published: Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. 2019-12-01
Series:Ural Mathematical Journal
Subjects:
Online Access:https://umjuran.ru/index.php/umj/article/view/202
_version_ 1818233635326656512
author Dmitriy A. Serkov
author_facet Dmitriy A. Serkov
author_sort Dmitriy A. Serkov
collection DOAJ
description For an abstract dynamic system, a game problem of retention of the motions in a given set of the motion histories is considered. The case of an indecomposable set of disturbances is studied. The set of successful solvability and a construction of a resolving quasistrategy based on the method of programmed iterations is proposed.
first_indexed 2024-12-12T11:25:19Z
format Article
id doaj.art-8ea94cdc187149ff91326b78b5580bc0
institution Directory Open Access Journal
issn 2414-3952
language English
last_indexed 2024-12-12T11:25:19Z
publishDate 2019-12-01
publisher Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin.
record_format Article
series Ural Mathematical Journal
spelling doaj.art-8ea94cdc187149ff91326b78b5580bc02022-12-22T00:25:55ZengKrasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin.Ural Mathematical Journal2414-39522019-12-015210.15826/umj.2019.2.00789ON A DYNAMIC GAME PROBLEM WITH AN INDECOMPOSABLE SET OF DISTURBANCESDmitriy A. Serkov0Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya Str., Ekaterinburg, 620990For an abstract dynamic system, a game problem of retention of the motions in a given set of the motion histories is considered. The case of an indecomposable set of disturbances is studied. The set of successful solvability and a construction of a resolving quasistrategy based on the method of programmed iterations is proposed.https://umjuran.ru/index.php/umj/article/view/202indecomposable disturbances, quasistrategy, retention problem
spellingShingle Dmitriy A. Serkov
ON A DYNAMIC GAME PROBLEM WITH AN INDECOMPOSABLE SET OF DISTURBANCES
Ural Mathematical Journal
indecomposable disturbances, quasistrategy, retention problem
title ON A DYNAMIC GAME PROBLEM WITH AN INDECOMPOSABLE SET OF DISTURBANCES
title_full ON A DYNAMIC GAME PROBLEM WITH AN INDECOMPOSABLE SET OF DISTURBANCES
title_fullStr ON A DYNAMIC GAME PROBLEM WITH AN INDECOMPOSABLE SET OF DISTURBANCES
title_full_unstemmed ON A DYNAMIC GAME PROBLEM WITH AN INDECOMPOSABLE SET OF DISTURBANCES
title_short ON A DYNAMIC GAME PROBLEM WITH AN INDECOMPOSABLE SET OF DISTURBANCES
title_sort on a dynamic game problem with an indecomposable set of disturbances
topic indecomposable disturbances, quasistrategy, retention problem
url https://umjuran.ru/index.php/umj/article/view/202
work_keys_str_mv AT dmitriyaserkov onadynamicgameproblemwithanindecomposablesetofdisturbances