Approximate method of solving one periodic optimal regulated boundary value problem

Authors

  • I. M. Askerov Lankaran State University, General Hazi Aslanov Ave., 50, Lankaran, Azerbaijan Republic, Az 4200

DOI:

https://doi.org/10.17721/1812-5409.2019/2.7

Abstract

In the present work we considered the solution of one periodic optimal regulated boundary value problem by the asymptotic method. For the solution of the problem with extended functional writing, boundary conditions and Euler-Lagrange equations were found. The approach to the solution of the problem depending on a small parameter by seeking a system of nonlinear differential equations and solving Euler-Lagrange equations, the solution of the general problem in the first approach comes down to solving two nonlinear algebraic equations.

Key words: optimal regulation, asymptotic method, periodic condition.

Pages of the article in the issue: 66 - 69

Language of the article: English

References

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ALІEV, F.A., МUTALLІМOV, М.М., ASKEROV, І.М. (2010) "Asymptotic method for solving the problem of constructing optimal regimes of a gas-lift process", Reports of the National Academy of Sciences of Azerbaijan, №1, 2010, p. 26-33.

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How to Cite

Askerov, I. M. (2019). Approximate method of solving one periodic optimal regulated boundary value problem. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (2), 66–69. https://doi.org/10.17721/1812-5409.2019/2.7

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Section

Computer Science and Informatics