Finding sets of solutions to systems of nonlinear inequalities


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Resumo

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.

Sobre autores

Yu. Evtushenko

Dorodnitsyn Computing Center, Federal Research Center “Computer Science and Control”

Autor responsável pela correspondência
Email: evt@ccas.ru
Rússia, Moscow, 119333

M. Posypkin

Dorodnitsyn Computing Center, Federal Research Center “Computer Science and Control”

Email: evt@ccas.ru
Rússia, Moscow, 119333

L. Rybak

Belgorod State Technical University

Email: evt@ccas.ru
Rússia, Belgorod, 308012

A. Turkin

Dorodnitsyn Computing Center, Federal Research Center “Computer Science and Control”

Email: evt@ccas.ru
Rússia, Moscow, 119333

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