Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 44-55
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A. V. Lotov. Convergence of methods of numerical approximation of the sets of attainability for linear differential systems with convex phase constraints. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 44-55. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a4/
@article{ZVMMF_1979_19_1_a4,
author = {A. V. Lotov},
title = {Convergence of methods of numerical approximation of the sets of attainability for linear differential systems with convex phase constraints},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {44--55},
year = {1979},
volume = {19},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a4/}
}
TY - JOUR
AU - A. V. Lotov
TI - Convergence of methods of numerical approximation of the sets of attainability for linear differential systems with convex phase constraints
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1979
SP - 44
EP - 55
VL - 19
IS - 1
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a4/
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ID - ZVMMF_1979_19_1_a4
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%0 Journal Article
%A A. V. Lotov
%T Convergence of methods of numerical approximation of the sets of attainability for linear differential systems with convex phase constraints
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1979
%P 44-55
%V 19
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a4/
%G ru
%F ZVMMF_1979_19_1_a4
We prove the convergence of the sets of attainability of multi-step problems to the sets of attainability of linear differential systems with phase constraints, for a wide class of schemes for approximating differential equations by multi-step equations, and approximating convex phase constraints by polyhedral constraints.
