A Supplement to Krasovskii’s Unification Method in Differential Game Theory

The paper deals with the game problem of approach for a conflict-controlled system in a finite-dimensional Euclidean space at a fixed moment of time. The approximate calculation of the solvability sets for the considered approach game is studied. A method is proposed for approximate calculation of solvability sets on the basis of a unification model, which supplements Krasovskii’s unification method in the theory of differential games.

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Publication Details

Journal
Doklady Mathematics
Published
2024-10-01
DOI
https://doi.org/10.1134/s1064562424601604
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
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article

A Supplement to Krasovskii’s Unification Method in Differential Game Theory

А. А. Ершов, В. Н. Ушаков, A.M. Tärasyev
Doklady Mathematics
Mathematical and Theoretical Epidemiology and Ecology Models
article

A Supplement to Krasovskii’s Unification Method in Differential Game Theory

А. А. Ершов, В. Н. Ушаков, A.M. Tärasyev
article en

Abstract

The paper deals with the game problem of approach for a conflict-controlled system in a finite-dimensional Euclidean space at a fixed moment of time. The approximate calculation of the solvability sets for the considered approach game is studied. A method is proposed for approximate calculation of solvability sets on the basis of a unification model, which supplements Krasovskii’s unification method in the theory of differential games.

Doklady MathematicsVol. 110(2)
N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences (RU)
Openalex Percentile: Top 71%
Mathematical and Theoretical Epidemiology and Ecology Models
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