A numerical method of the solution of mixed control problems for Leontieff type systems
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 4, pp. 37-45
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The article presents exact and approximate solutions of mixed control problems. A detailed algorithm for the numerical method of the solution of mixed control problems is presented, the convergence of approximate solutions to the exact one is proved. Methods of the theory of degenerate (semi) groups, of the optimal control theory are used. The importance of the introduced functional quality which enables to solve applied problems in economics and engineering is shown.
Keywords:
mixed control problem; Leontieff type system; numerical solution.
@article{VYURM_2015_7_4_a4,
author = {A. V. Keller and A. A. Ebel},
title = {A numerical method of the solution of mixed control problems for {Leontieff} type systems},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
pages = {37--45},
publisher = {mathdoc},
volume = {7},
number = {4},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURM_2015_7_4_a4/}
}
TY - JOUR AU - A. V. Keller AU - A. A. Ebel TI - A numerical method of the solution of mixed control problems for Leontieff type systems JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika PY - 2015 SP - 37 EP - 45 VL - 7 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VYURM_2015_7_4_a4/ LA - ru ID - VYURM_2015_7_4_a4 ER -
%0 Journal Article %A A. V. Keller %A A. A. Ebel %T A numerical method of the solution of mixed control problems for Leontieff type systems %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika %D 2015 %P 37-45 %V 7 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VYURM_2015_7_4_a4/ %G ru %F VYURM_2015_7_4_a4
A. V. Keller; A. A. Ebel. A numerical method of the solution of mixed control problems for Leontieff type systems. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 4, pp. 37-45. http://geodesic.mathdoc.fr/item/VYURM_2015_7_4_a4/