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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2019 Volume 59, Number 2, Pages 235–246 (Mi zvmmf10831)

This article is cited 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

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.

UDC: 519.68

Received: 05.05.2018
Revised: 16.05.2018

DOI: 10.1134/S0044466919020145


 English version:
Computational Mathematics and Mathematical Physics, 2019, 59:2, 224–235

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