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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 2, Pages 235–246
DOI: https://doi.org/10.1134/S0044466919020145 (Mi zvmmf10831) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Multimethod optimization of control in complicated applied problems

A. I. Tyatyushkin

Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, 664033 Russia
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DOI: https://doi.org/10.1134/S0044466919020145
Abstract: An algorithm consisting of gradient and quasilinearization iterations is constructed for obtaining a high-accuracy numerical solution of a boundary value problem. An“ideal” solution of a multiobjective optimal control problem is produced by applying primal and dual algorithms, which ensure an efficient search for both scalarization coefficients and an optimal control. The efficiency of the proposed multimethod algorithms is demonstrated by soling application problems.
Key words: multimethod optimization, optimal control, boundary value problem, multiobjective problem, gradient method, maximum principle, quasilinearization method.
Received: 05.05.2018
Revised: 16.05.2018
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 2, Pages 224–235
DOI: https://doi.org/10.1134/S0965542519020143
Bibliographic databases:
Document Type: Article
UDC: 519.68
Language: Russian
Citation: A. I. Tyatyushkin, “Multimethod optimization of control in complicated applied problems”, Zh. Vychisl. Mat. Mat. Fiz., 59:2 (2019), 235–246; Comput. Math. Math. Phys., 59:2 (2019), 224–235
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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