Finding sets of solutions to systems of nonlinear inequalities
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 8, pp. 1248-1254
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The problem of approximating the set of all solutions to a system of nonlinear inequalities is studied. A method based on the concept of nonuniform coverings is proposed. It allows one to obtain an interior and exterior approximation of this set with a prescribed accuracy. The efficiency of the method is demonstrated by determining the workspace of a parallel robot.
@article{ZVMMF_2017_57_8_a1,
author = {Yu. G. Evtushenko and M. A. Posypkin and L. A. Rybak and A. V. Turkin},
title = {Finding sets of solutions to systems of nonlinear inequalities},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1248--1254},
publisher = {mathdoc},
volume = {57},
number = {8},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_8_a1/}
}
TY - JOUR AU - Yu. G. Evtushenko AU - M. A. Posypkin AU - L. A. Rybak AU - A. V. Turkin TI - Finding sets of solutions to systems of nonlinear inequalities JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2017 SP - 1248 EP - 1254 VL - 57 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_8_a1/ LA - ru ID - ZVMMF_2017_57_8_a1 ER -
%0 Journal Article %A Yu. G. Evtushenko %A M. A. Posypkin %A L. A. Rybak %A A. V. Turkin %T Finding sets of solutions to systems of nonlinear inequalities %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2017 %P 1248-1254 %V 57 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_8_a1/ %G ru %F ZVMMF_2017_57_8_a1
Yu. G. Evtushenko; M. A. Posypkin; L. A. Rybak; A. V. Turkin. Finding sets of solutions to systems of nonlinear inequalities. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 8, pp. 1248-1254. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_8_a1/