Email this article Finding sets of solutions to systems of nonlinear inequalities
- Authors: Evtushenko Y.G.1, Posypkin M.A.1, Rybak L.A.2, Turkin A.V.1
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Affiliations:
- Dorodnitsyn Computing Center, Federal Research Center “Computer Science and Control”
- Belgorod State Technical University
- Issue: Vol 57, No 8 (2017)
- Pages: 1241-1247
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/179309
- DOI: https://doi.org/10.1134/S0965542517080073
- ID: 179309
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Abstract
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.
About the authors
Yu. G. Evtushenko
Dorodnitsyn Computing Center, Federal Research Center “Computer Science and Control”
Author for correspondence.
Email: evt@ccas.ru
Russian Federation, Moscow, 119333
M. A. Posypkin
Dorodnitsyn Computing Center, Federal Research Center “Computer Science and Control”
Email: evt@ccas.ru
Russian Federation, Moscow, 119333
L. A. Rybak
Belgorod State Technical University
Email: evt@ccas.ru
Russian Federation, Belgorod, 308012
A. V. Turkin
Dorodnitsyn Computing Center, Federal Research Center “Computer Science and Control”
Email: evt@ccas.ru
Russian Federation, Moscow, 119333
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