RUS  ENG
Full version
JOURNALS // Ural Mathematical Journal // Archive

Ural Math. J., 2019 Volume 5, Issue 2, Pages 72–79 (Mi umj104)

This article is cited in 2 papers

On a dynamic game problem with an indecomposable set of disturbances

Dmitriy A. Serkov

Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya str., Ekaterinburg, Russia, 620990

Abstract: 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.

Keywords: Indecomposable disturbances, Quasistrategy, Retention problem.

Language: English

DOI: 10.15826/umj.2019.2.007



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025