Existence of a Value and a Saddle Point in Positional Differential Games for Neutral-Type Systems

被引：0

作者：

M. I. Gomoyunov

N. Yu. Lukoyanov

A. R. Plaksin

机构：

[1] Ural Branch of the Russian Academy of Sciences,Krasovskii Institute of Mathematics and Mechanics

[2] Ural Federal University,undefined

来源：

Proceedings of the Steklov Institute of Mathematics | 2017年 / 299卷

关键词：

neutral type systems; control theory; differential games.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For a conflict-controlled dynamical system described by functional differential equations of neutral type in Hale’s form, we consider a differential game with a performance index that estimates the motion history realized up to the terminal time and includes an integral estimation of realizations of the players’ controls. The game is formalized in the class of pure positional strategies. The main result is the proof of the existence of a value and a saddle point in this game.

引用

页码：37 / 48

页数：11

共 6 条

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[2]

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[3]

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Kryazhimskii A. V.(1980)On stable position control in differential games J. Appl. Math. Mech. 42 1055-1060

[6]

Kryazhimskii A. V.(undefined)undefined undefined undefined undefined-undefined

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