Analysis of methods for solving optimal control problems

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Doklady Bashkirskogo Universiteta. 2016. Volume 1. No. 1. pp. 1-6.

Authors

Shangareeva G. R.
Sterlitamak branch of the Bashkir State University
37 Prospekt Lenina, 453103 Sterlitamak, Republic of Bashkortostan, Russia
Grigoryev I. V.*
Sterlitamak branch of the Bashkir State University
37 Prospekt Lenina, 453103 Sterlitamak, Republic of Bashkortostan, Russia
Mustafina S. A.
Sterlitamak branch of the Bashkir State University
37 Prospekt Lenina, 453103 Sterlitamak, Republic of Bashkortostan, Russia

Abstract

In this article step by step algorithms were developed for solving optimal control problems based on the method of successive approximations and the method of variations in the space of controls. A numerical study and comparative analysis of the developed algorithms performed at different values of accuracy.

Keywords

  • method of successive approximations
  • the method of variations
  • optimal control
  • numerical algorithm
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