Finding sets of solutions to systems of nonlinear inequalities

Finding sets of solutions to systems of nonlinear inequalities

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 meth...

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Veröffentlicht in:Computational mathematics and mathematical physics 2017-08, Vol.57 (8), p.1241-1247
Hauptverfasser: Evtushenko, Yu. G., Posypkin, M. A., Rybak, L. A., Turkin, A. V.
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Sprache:eng
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Computational Mathematics and Numerical Analysis
Coverings
Inequalities
Mathematics
Mathematics and Statistics
Nonlinear systems
Robotics
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container_title Computational mathematics and mathematical physics
container_volume 57
creator Evtushenko, Yu. G.
Posypkin, M. A.
Rybak, L. A.
Turkin, A. V.
description 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.
doi_str_mv 10.1134/S0965542517080073
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subjects Computational Mathematics and Numerical Analysis
Coverings
Inequalities
Mathematics
Mathematics and Statistics
Nonlinear systems
Robotics
title Finding sets of solutions to systems of nonlinear inequalities
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