On a linear guidance game problem. PMM vol. 42. no. 4, 1978, pp. 593-598 / Loginov M.I. // Journal of Applied Mathematics and Mechanics. - 1978. - V. 42, l. 4. - P. 624-630.

ISSN:

00218928

Type:

Article

Abstract:

A guidance game problem is analyzed for a linear conflict-controlled system when the game's payoff has the meaning of the Euclidean distance of the phase point from the origin. A certain modification is suggested for the extremal aiming rule [1], which under specific conditions quarantees one of the players a result not worse than in the corresponding program problem on maximin for the initial position. The paper relies on the idea of a position differential game, developed in [1, 2]. © 1979.

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PROBABILITY

DOI:

10.1016/0021-8928(78)90003-5

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0018209127&doi=10.1016%2f0021-8928%2878%2990003-5&partnerID=40&md5=dfb42ecf20db5dbfb1638400d1e1b087

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Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-0018209127&doi=10.1016%2f0021-8928%2878%2990003-5&partnerID=40&md5=dfb42ecf20db5dbfb1638400d1e1b087
Affiliations	SverdlovskU.S.S.R.
References	Krasovskii, (1970) Game Problems on the Contact of Motions, , Nauka, Moscow; Krasovskii, Subbotin, (1914) Position Differential Games, , Nauka, Moscow; Rockafellar, (1970) Convex Analysis, , Princeton Univ. Press, Princeton, N.J; Pshenichnyi, (1969) Necessary Conditions for an Extremum, , Nauka, Moscow; Filippov, Differential equations with a discontinuous right-hand side (1960) Mat. Sb., 51-93 (1); Pontriagin, On linear differential games, 2 (1967) Dokl. Akad. Nauk SSSR, 175 (4)
Correspondence Address	Loginov, M.I.
CODEN	JAMMA
Language of Original Document	English
Abbreviated Source Title	J. Appl. Math. Mech.
Source	Scopus