方法的两个博弈论问题

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics Pub Date : 2021-01-01 DOI:10.1070/SM9496

A. Ershov, A. V. Ushakov, V. Ushakov

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引用次数: 0

摘要

研究有限时间区间有限维欧氏空间中的非线性冲突控制系统。研究了使系统在固定时刻趋近于紧集的两个相互关联的博弈论问题。提出了一种构造逼近对策问题近似解的方法。在相空间中构造博弈问题的可解集的近似是最受关注的问题。参考书目:35种。

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Two game-theoretic problems of approach

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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来源期刊

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis