DIFFERENTIAL GAME OF OPTIMAL APPROACH OF 2 INERTIAL PURSUERS TO A NONINERTIAL EVADER

被引：37

作者：

LEVCHENKOV, AY

PASHKOV, AG

机构：

[1] Institute for Problems of Mechanics, USSR Academy of Sciences, Moscow

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1990年 / 65卷 / 03期

关键词：

Differential games; dispersal surface; focal surface; programmed maximin function; value function;

D O I：

10.1007/BF00939563

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, the game of the optimal approach of two identical inertial pursuers to a noninertial evader is investigated. The duration of the game is fixed. The payoff functional is the distance between the evader and the closest pursuer when the game terminates. The value function is constructed for all possible positions of the game. The regions where the pursuit is one-to-one and the regions where it is essentially collective are described algorithmically. Some analogies between this game and the linear differential game with elliptical vectograms are indicated. It is noted that the focal surface and the dispersal surface are in proximity of one another. © 1990 Plenum Publishing Corporation.

引用

页码：501 / 518

页数：18

共 16 条

[1] POINT CAPTURE OF 2 EVADERS IN SUCCESSION [J].

BREAKWELL, JV ;

HAGEDORN, P .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1979, 27 (01) :89-97

[2]

CHIKRII AA, 1982, PRIKL MAT MEKH, V46, P906

[3]

GRIGORENKO NL, 1982, SOV MATH DOKL, V268, P529

[4]

HAGEDORN P, 1976, J OPTIMIZ THEORY APP, V18, P15, DOI 10.1007/BF00933791

[5]

Isaacs R., 1965, DIFFERENTIAL GAMES

[6]

Krasovskii N. N., 1988, SPRINGER SERIES SOVI

[7] DIFFERENTIAL-GAMES - APPROXIMATION AND FORMAL MODELS [J].

KRASOVSKII, NN .

MATHEMATICS OF THE USSR-SBORNIK, 1979, 35 (06) :795-822

[8]

Krasovskii NN., 1974, POSITIONAL DIFFERENT

[9]

LEVCHENKOV AY, 1985, PRIKLADNAYA MATEMATI, V49, P536

[10]

Pashkov A. G., 1970, Prikladnaya Matematika i Mekhanika, V34, P804

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