Title

NUMERICAL ALGORITHM FOR SOLVING OPTIMAL
CONTROL PROBLEMS BY THE METHOD
OF LOCAL VARIATIONS

Authors

Igor Grigoryev, Svetlana Mustafina
Bashkir State University
32, Validy Str., 450076, Ufa, RUSSIA

Abstract

In this article we gave a description of an algorithm of the method of local variations for numerical solution of problems of optimal control. We have developed a program based on the method of local variations to solve the optimal control problems with free right end. Finally, a numerical example is presented to demonstrate effectiveness, simplicity and accuracy of the proposed method.

History

Received: October 9, 2016
Revised: December 12, 2016
Published: February 28, 2017

AMS Classification, Key Words

AMS Subject Classification: 49M30, 65K05, 65K10
Key Words and Phrases: method of local variations, optimal control, phase variables, numerical solution

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Bibliography

1

Igor Grigoryev, Svetlana Mustafina, Global optimization of functions of several variables using parallel technologies, International Journal of Pure and Applied Mathematics, 106, No. 1 (2016), 301-306, doi: https://doi.org/10.12732/ijpam.v106i1.24.

2

Gulnaz Shangareeva, Igor Grigoryev, Svetlana Mustafina, Comparative analysis of numerical solution of optimal control problems, International Journal of Pure and Applied Mathematics, 110, No. 4 (2016), 645-649, doi: https://doi.org/10.12732/ijpam.v110i4.6.

3

Igor Grigoryev, Eldar Miftakhov, Svetlana Mustafina, Mathematical modelling of the copolymerization of styrene with maleic anhydride in a homogeneous environment, International Journal of Chemical Sciences, 14, No. 1 (2016), 381-386.

How to Cite?

DOI: 10.12732/ijpam.v113i1.5 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 1
Pages: 43 - 47

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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