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This article is cited in 8 scientific papers (total in 8 papers)
Finding sets of solutions to systems of nonlinear inequalities
Yu. G. Evtushenkoa, M. A. Posypkina, L. A. Rybakb, A. V. Turkina a 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.
Received: 15.09.2016
Citation:
Yu. G. Evtushenko, M. A. Posypkin, L. A. Rybak, A. V. Turkin, “Finding sets of solutions to systems of nonlinear inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 57:8 (2017), 1248–1254; Comput. Math. Math. Phys., 57:8 (2017), 1241–1247
Linking options:
https://www.mathnet.ru/eng/zvmmf10596 https://www.mathnet.ru/eng/zvmmf/v57/i8/p1248
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Abstract page: | 267 | Full-text PDF : | 42 | References: | 41 | First page: | 12 |
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