On construction of positional absorption set in conflict control problems
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 1 (1992), pp. 160-177
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For a nonlinear conflict control system the problem of guidance of all motions to the target set is considered. Researches are developed within the framework of the differential games theory. The approximation scheme for construction of stable bridges is proposed. The unified mapping of stable absorption is the main point of suggested constructions. The notion of the approximating system of sets is introduced and its convergence is proved.
@article{TIMM_1992_1_a12,
author = {A. M. Tarasyev and V. N. Ushakov and A. P. Khripunov},
title = {On construction of positional absorption set in conflict control problems},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {160--177},
publisher = {mathdoc},
volume = {1},
year = {1992},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_1992_1_a12/}
}
TY - JOUR AU - A. M. Tarasyev AU - V. N. Ushakov AU - A. P. Khripunov TI - On construction of positional absorption set in conflict control problems JO - Trudy Instituta matematiki i mehaniki PY - 1992 SP - 160 EP - 177 VL - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_1992_1_a12/ LA - ru ID - TIMM_1992_1_a12 ER -
%0 Journal Article %A A. M. Tarasyev %A V. N. Ushakov %A A. P. Khripunov %T On construction of positional absorption set in conflict control problems %J Trudy Instituta matematiki i mehaniki %D 1992 %P 160-177 %V 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_1992_1_a12/ %G ru %F TIMM_1992_1_a12
A. M. Tarasyev; V. N. Ushakov; A. P. Khripunov. On construction of positional absorption set in conflict control problems. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 1 (1992), pp. 160-177. http://geodesic.mathdoc.fr/item/TIMM_1992_1_a12/