Complete Solution of a Differential Game with Linear Dynamics and Bounded Controls

被引：14

作者：

Glizerl, Valery Y. ^{[1
,2
]}

Turetskyl, Vladimir ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Fac Aerosp Engn, IL-32000 Haifa, Israel

[2] Ort Braude Acad Coll Engn, Dept Math, IL-21982 Karmiel, Israel

来源：

APPLIED MATHEMATICS RESEARCH EXPRESS | 2008年 / 01期

关键词：

D O I：

10.1093/amrx/abm012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A zero-sum finite-horizon differential game with linear dynamics and bounded controls is considered. The target set is a given hyperplane in the state space. The cost function is the distance between the terminal state and this hyperplane. The complete game solution is obtained in two classes of controls: open-loop and feedback-based controls.

引用

页数：49

共 16 条

[1]

Basar T., 1995, H OPTIMAL CONTROL RE

[2]

Blaquiere A., 1969, QUANTITATIVE QUALITA

[3]

Gutman S., 1979, J GUIDANCE CONTROL, V3, P296, DOI DOI 10.2514/3.55878

[4] DIFFERENTIAL GAMES AND OPTIMAL PURSUIT-EVASION STRATEGIES [J].

HO, YC ;

BRYSON, AE ;

BARON, S .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1965, AC10 (04) :385-&

[5]

Isaacs R., 1965, DIFFERENTIAL GAMES

[6]

Karlin S., 1959, MATH METHODS THEORY

[7]

Krasovskii N. N., 1988, SPRINGER SERIES SOVI

[8] ON LEVEL SETS WITH "NARROW THROATS" IN LINEAR DIFFERENTIAL GAMES [J].

Kumkov, Sergey S. ;

Patsko, Valery S. ;

Shinar, Josef .

INTERNATIONAL GAME THEORY REVIEW, 2005, 7 (03) :285-311

[9]

Lewin J., 1994, DIFFERENTIAL GAMES

[10] Switching surfaces in linear differential games with a fixed instant of termination [J].

Patsko, VS .

PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2004, 68 (04) :583-595

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