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Avtomatika i Telemekhanika, 2017, Issue 8, Pages 145–163 (Mi at14467)  
This article is cited in 1 scientific paper (total in 1 paper)

Optimization, System Analysis, and Operations Research

JPEG-like method of control parametrization for numerical solution of the distributed optimization problems

A. V. Chernovab

a Lobachevsky Nizhny Novgorod State University, Nizhny Novgorod, Russia
b Alekseev Nizhny Novgorod State Technical University, Nizhny Novgorod, Russia
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Abstract: The present author continued his work on the study of the control parametrization technique for solution of the distributed optimization problems. Proposed was a new method of control parametrization resembling that for information compression used in the JPEG format to reduce by the factor of several times the count of parameters describing the control without an appreciable deterioration in closeness to the optimum. Withdrawn were formulas required for application of the proposed approach to control parametrization in combination with the numerical methods of finite-dimensional optimization for solution of the mathematical programming problem approximating the original optimal control problem. The results of numerical experiments were described and analyzed in detail.
Keywords: optimization of the distributed-parameter systems, functional differentiation, piecewise constant approximation of control, JPEG-like method of control parametrization.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1727
02.В.49.21.0003
This work was financed by the MES (Ministry of Education and Science) of RF within the framework of the design part of the state assignment in the research field in 2014–2016, project no. 1727, and grant (agreement no. 02.V.49.21.0003 of July 27, 2013 between MES of RF and NNSU (Nizhny Novgorod State University)).
Presented by the member of Editorial Board: P. V. Pakshin

Received: 22.05.2016
English version:
Automation and Remote Control, 2017, Volume 78, Issue 8, Pages 1474–1488
DOI: https://doi.org/10.1134/S0005117917080082
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Chernov, “JPEG-like method of control parametrization for numerical solution of the distributed optimization problems”, Avtomat. i Telemekh., 2017, no. 8, 145–163; Autom. Remote Control, 78:8 (2017), 1474–1488
Citation in format AMSBIB
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\paper JPEG-like method of control parametrization for numerical solution of the distributed optimization problems
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\issue 8
\pages 145--163
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\jour Autom. Remote Control
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\vol 78
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\pages 1474--1488
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    Citing articles in Google Scholar: Russian citations, English citations
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