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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 4, Pages 633–644
DOI: https://doi.org/10.7868/S0044466917040020
(Mi zvmmf10559)
 

This article is cited in 20 scientific papers (total in 20 papers)

Optimization of loading places and load response functions for stationary systems

V. M. Abdullayevab, K. R. Aida-zadecd

a Azerbaijan State Oil and Industrial University, Baku, Azerbaijan
b Institute of Control Systems, Azerbaijan National Academy of Sciences, Baku, Azerbaijan
c Baku State University, Baku, Azerbaijan
d Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan
References:
Abstract: The problem of optimizing loading places and corresponding load response functions with respect to objects described by systems of loaded ordinary differential equations is solved numerically. Analytical formulas for the gradient of the functional with respect to the optimized load parameters are derived to solve the problem by applying first-order numerical methods. Results of numerical experiments are presented. The approach proposed can also be used to optimize load parameters in distributed systems described by partial differential equations, which are reduced to the considered problem by applying the method of lines.
Key words: loaded ordinary differential equation, optimization of loading places, response to load, optimal control, nonlocal conditions, integral conditions, inverse problem.
Received: 19.02.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 4, Pages 634–644
DOI: https://doi.org/10.1134/S0965542517040029
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: V. M. Abdullayev, K. R. Aida-zade, “Optimization of loading places and load response functions for stationary systems”, Zh. Vychisl. Mat. Mat. Fiz., 57:4 (2017), 633–644; Comput. Math. Math. Phys., 57:4 (2017), 634–644
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v57/i4/p633
  • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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