CONCERNING ONE SUPPLEMENT TO UNIFICATION METHOD OF N.N. KRASOVSKII IN DIFFERENTIAL GAMES 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 problem of approximate calculation of the solvability sets is studied for the considered approach game. An approach is proposed for approximate calculation of solvability sets on the basis of a unification model, which supplements the unification method of N.N. Krasovskii in the theory of differential games.

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Journal
Доклады Российской академии наук Математика информатика процессы управления
Published
2024-12-15
DOI
https://doi.org/10.31857/s2686954324050124
Primary Topic
Advanced Research in Systems and Signal Processing
Type
article
Field-Weighted Citation Impact
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article

CONCERNING ONE SUPPLEMENT TO UNIFICATION METHOD OF N.N. KRASOVSKII IN DIFFERENTIAL GAMES THEORY

А. А. Ершов, В. Н. Ушаков, A.M. Tärasyev
Доклады Российской академии наук Математика информатика процессы управления
Advanced Research in Systems and Signal Processing
article

CONCERNING ONE SUPPLEMENT TO UNIFICATION METHOD OF N.N. KRASOVSKII IN DIFFERENTIAL GAMES 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 problem of approximate calculation of the solvability sets is studied for the considered approach game. An approach is proposed for approximate calculation of solvability sets on the basis of a unification model, which supplements the unification method of N.N. Krasovskii in the theory of differential games.

Доклады Российской академии наук Математика информатика процессы управленияVol. 519(1)
Institute of Mathematics and Mechanics (AZ)
Openalex Percentile: Top 70%
Advanced Research in Systems and Signal Processing
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