Extreme strategies in game-theory problems for linear integral differential Volterra systems,~I
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 7 (2012), pp. 33-42
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Game situations for the systems, defined by linear integral differential Volterra equations with control actions beyond the integral are studied. To solve these problems a modification of a familiar extreme construction of academician N. N. Krasovsky is given.
Keywords:
game-theory problem, integral differential system, control action, program maximin.
Mots-clés : game positions
Mots-clés : game positions
@article{VYURM_2012_7_a4,
author = {V. L. Pasikov},
title = {Extreme strategies in game-theory problems for linear integral differential {Volterra} {systems,~I}},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
pages = {33--42},
publisher = {mathdoc},
number = {7},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURM_2012_7_a4/}
}
TY - JOUR AU - V. L. Pasikov TI - Extreme strategies in game-theory problems for linear integral differential Volterra systems,~I JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika PY - 2012 SP - 33 EP - 42 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VYURM_2012_7_a4/ LA - ru ID - VYURM_2012_7_a4 ER -
%0 Journal Article %A V. L. Pasikov %T Extreme strategies in game-theory problems for linear integral differential Volterra systems,~I %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika %D 2012 %P 33-42 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/item/VYURM_2012_7_a4/ %G ru %F VYURM_2012_7_a4
V. L. Pasikov. Extreme strategies in game-theory problems for linear integral differential Volterra systems,~I. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 7 (2012), pp. 33-42. http://geodesic.mathdoc.fr/item/VYURM_2012_7_a4/