Method of optimisation of knots of piecewise linear approximation convex on a segment of one-dimensional functions

Authors

  • Анатолий Константинович Смирнов Department of agroindustrial complex and user market of the Yaroslavl area of street of Saukova, 7 – 19, Yaroslavl, Russia, 150051, Russian Federation

DOI:

https://doi.org/10.15587/1729-4061.2012.3313

Keywords:

optimization, convex, piece-linear function

Abstract

Optimization a method is based on the decision of task: on the set segment to enter the piece-linear function of extreme area in convex function. The equations satisfying the terms of existence of extremum are obtained

Author Biography

Анатолий Константинович Смирнов, Department of agroindustrial complex and user market of the Yaroslavl area of street of Saukova, 7 – 19, Yaroslavl, Russia, 150051

The Leading specialist, government engineer-controller of gostekhnadzora

References

  1. Гидравлика, гидромашины и гидроприводы [Текст] : учеб. для машиностроительных вузов / Т. М. Башта, С. С. Руднев, Б. Б. Некрасов, и др. – 2-е изд., перераб. – М.: Машиностроение, 1982. – 423 с.
  2. Артоболевский, И. И. Теория механизмов и машин. [Текст] : учеб. для втузов / И. И Артоболевский. – 3-е изд., перераб. и доп. – М.: Наука. Гл. ред. физ.-мат. лит., 1975. – 640 с.
  3. Левитский, Н. И. Теория механизмов и машин [Текст] : учеб, пособие для университетов и втузов / Н. И. Левитский. – 2-е изд., перераб. и доп. – М.: Наука. Гл. ред. физ.-мат. лит., 1990. – 592 с.
  4. Лещенко, В. А. Гидравлические следящие приводы станков с числовым программным управлением [Текст] / В. А. Лещенко. – М.: Машиностроение, 1975. – 288 с.
  5. Справочник по теории автоматического управления [Текст] / А. Г. Александров, В. М. Артемьев, В. Н. Афанасьев и др. ; под ред. А. А. Красовского. – М.: Наука. Гл. ред. физ.-мат. лит.,1987. – 712 с.
  6. Алексеев, В. М. Оптимальное управление [Текст] : учеб, пособие для вузов / В. М. Алексеев, В. М. Тихомиров, С. В. Фомин – М.: Наука. Гл. ред. физ.-мат. лит., 1979. – 432 с.
  7. Бронштейн, И. Н. Справочник по математике для инженеров и учащихся втузов [Текст] / И. Н. Бронштейн, К. А. Семендяев. – 13-е изд., исправ. – М.: Наука. Гл. ред. физ.-мат. лит., 1986. – 544 с.

Downloads

Published

2012-02-01

How to Cite

Смирнов, А. К. (2012). Method of optimisation of knots of piecewise linear approximation convex on a segment of one-dimensional functions. Eastern-European Journal of Enterprise Technologies, 1(4(55), 20–24. https://doi.org/10.15587/1729-4061.2012.3313

Issue

Vol. 1 No. 4(55) (2012): Mathematics and cybernetics - fundamental and applied aspects

Section

Mathematics and Cybernetics - applied aspects

License

Copyright (c) 2014 Анатолий Константинович Смирнов

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.

A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.