Finding sets of solutions to systems of nonlinear inequalities

被引：2
|
作者：
Evtushenko, Yu. G. [1 ]
Posypkin, M. A. [1 ]
Rybak, L. A. [2 ]
Turkin, A. V. [1 ]
机构：
[1] Russian Acad Sci, Dorodnitsyn Comp Ctr, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia
[2] Belgorod State Tech Univ, Belgorod 308012, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2017年 / 57卷 / 08期
基金：
俄罗斯科学基金会;
关键词：
method of nonuniform coverings; nonlinear inequalities; methods of set approximation; workspace of a robot; POLYHEDRAL APPROXIMATION;
D O I：
10.1134/S0965542517080073
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1241 / 1247
页数：7
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