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Zh. Vychisl. Mat. Mat. Fiz., 2019, Volume 59, Number 5, Pages 739–751 (Mi zvmmf10888)  

This article is cited in 3 scientific papers (total in 3 papers)

Approach to the numerical solution of optimal control problems for loaded differential equations with nonlocal conditions

V. M. Abdullayevab, K. R. Aida-zadebc

a Azerbaijan State Oil and Industrial University, Baku, AZ1010 Azerbaijan
b Institute of Control Systems, Azerbaijan National Academy of Sciences, Baku, AZ1141 Azerbaijan
c Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, AZ1141 Azerbaijan

Abstract: An approach to the numerical solution of an optimal control problem described by systems of ordinary differential equations with point loading is proposed. The problem involves nonlocal conditions in which the values of the phase state at certain points and its integral values on various preset intervals are contained in coupled form. For the cost functional gradient of the problem, formulas are derived, which are used to solve the problem by applying numerical optimization methods of the first order. Results of numerical experiments are presented.

Key words: loaded differential equation, optimal control, functional gradient, nonlocal conditions, integral conditions.

DOI: https://doi.org/10.1134/S0044466919050028


English version:
Computational Mathematics and Mathematical Physics, 2019, 59:5, 696–707

Bibliographic databases:

UDC: 519.626.6
Received: 17.10.2017
Revised: 21.10.2018
Accepted:11.01.2019

Citation: V. M. Abdullayev, K. R. Aida-zade, “Approach to the numerical solution of optimal control problems for loaded differential equations with nonlocal conditions”, Zh. Vychisl. Mat. Mat. Fiz., 59:5 (2019), 739–751; Comput. Math. Math. Phys., 59:5 (2019), 696–707

Citation in format AMSBIB
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\yr 2019
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. K. R. Aida-zade, V. M. Abdullayev, “Optimization of right-hand sides of nonlocal boundary conditions in a controlled dynamical system”, Autom. Remote Control, 82:3 (2021), 375–397  mathnet  crossref  crossref  isi  elib
    2. K. R. Aida-zade, E. R. Ashrafova, “Upravlenie vozdeistviyami v pravykh chastyakh bolshoi sistemy ODU blochnoi struktury i optimizatsiya istochnikov v nerazdelennykh kraevykh usloviyakh”, Sib. zhurn. vychisl. matem., 24:3 (2021), 229–251  mathnet  crossref
    3. A. T. Assanova, A. Zholamankyzy, “Problem with data on the characteristics for a loaded system of hyperbolic equations”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 31:3 (2021), 353–364  mathnet  crossref
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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