This article is cited in 10 papers

Finding sets of solutions to systems of nonlinear inequalities

Yu. G. Evtushenko^a, M. A. Posypkin^a, L. A. Rybak^b, A. V. Turkin<sup>a

a</sup> Dorodnitsyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
^b Belgorod State Technical University, Belgorod, Russia

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.

Key words: method of nonuniform coverings, nonlinear inequalities, methods of set approximation, workspace of a robot.

UDC: 519.61

Received: 15.09.2016

DOI: 10.7868/S0044466917080075

 English version: Computational Mathematics and Mathematical Physics, 2017, 57:8, 1241–1247

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