Formation of positional strategies for a differential game in Krasovskii's method of extremal aiming
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2015), pp. 61-65
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The problem of estimating the accuracy of linear system control algorithms on a finite time interval in the presence of initial and time-varying perturbations is considered from the standpoint of maximin testing methods. A method of forming the positional strategies of testing based on a modification of the Krasovskii's "extremal aiming" method is proposed. It is shown by an example that the convex reachable set of a controlled system has a multiextremal support function.
@article{VMUMM_2015_6_a12,
author = {S. S. Lemak},
title = {Formation of positional strategies for a differential game in {Krasovskii's} method of extremal aiming},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {61--65},
publisher = {mathdoc},
number = {6},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_6_a12/}
}
TY - JOUR AU - S. S. Lemak TI - Formation of positional strategies for a differential game in Krasovskii's method of extremal aiming JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2015 SP - 61 EP - 65 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2015_6_a12/ LA - ru ID - VMUMM_2015_6_a12 ER -
%0 Journal Article %A S. S. Lemak %T Formation of positional strategies for a differential game in Krasovskii's method of extremal aiming %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2015 %P 61-65 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2015_6_a12/ %G ru %F VMUMM_2015_6_a12
S. S. Lemak. Formation of positional strategies for a differential game in Krasovskii's method of extremal aiming. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2015), pp. 61-65. http://geodesic.mathdoc.fr/item/VMUMM_2015_6_a12/