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Avtomatika i Telemekhanika, 2020, Issue 9, Pages 81–92
DOI: https://doi.org/10.31857/S0005231020090032 (Mi at15144) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Nonlinear Systems

Optimization problems with gradient of control's in the coefficients of elliptic equations

A. D. Iskenderova, R. A. Gamidovb

a National Aviation Academy, Baku, Azerbaijan
b Lankaran State University, Lankaran, Azerbaijan
Full-text PDF (208 kB) Citations (3)
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DOI: https://doi.org/10.31857/S0005231020090032
Abstract: Linear elliptic equations with the coefficients depending on the control function and its gradient are considered, and an optimal control problem for such equations is studied. The existence and uniqueness of the solution of this problem are proved. The results are applied to the optimal control of the boundary of a given domain.
Keywords: optimal control, elliptic equations, existence and uniqueness of solution, well-posed-ness, control of boundary of domain.
Presented by the member of Editorial Board: M. M. Khrustalev

Received: 03.11.2018
Revised: 08.12.2019
Accepted: 30.01.2020
English version:
Automation and Remote Control, 2020, Volume 81, Issue 9, Pages 1627–1636
DOI: https://doi.org/10.1134/S0005117920090039
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. D. Iskenderov, R. A. Gamidov, “Optimization problems with gradient of control's in the coefficients of elliptic equations”, Avtomat. i Telemekh., 2020, no. 9, 81–92; Autom. Remote Control, 81:9 (2020), 1627–1636
Citation in format AMSBIB
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\paper Optimization problems with gradient of control's in the coefficients of elliptic equations
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Linking options:
  • https://www.mathnet.ru/eng/at15144
  • https://www.mathnet.ru/eng/at/y2020/i9/p81
    • This publication is cited in the following 3 articles:
    1. A. A. Lomov, “On the identification of difference equations by observations of solutions with perturbations from a given linear manifold”, Siberian Adv. Math., 34:3 (2024), 237–248  mathnet  crossref  crossref
    2. M. P. Eshov, N. N. Kodirov, T. K. Yuldashev, “Zadachi optimizatsii v obyknovennykh avtonomnykh sistemakh pervogo poryadka”, Materialy Voronezhskoi mezhdunarodnoi zimnei matematicheskoi shkoly «Sovremennye metody teorii funktsii i smezhnye problemy», Voronezh, 27 yanvarya — 1 fevralya 2023 g. Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 227, VINITI RAN, M., 2023, 92–99  mathnet  crossref
    3. T. K. Yuldashev, G. K. Abdurakhmanova, “Optimizatsiya teplovykh protsessov v nelokalnoi zadache s funktsiei pereopredeleniya pri integralnom uslovii”, Materialy Voronezhskoi mezhdunarodnoi zimnei matematicheskoi shkoly «Sovremennye metody teorii funktsii i smezhnye problemy», Voronezh, 27 yanvarya — 1 fevralya 2023 g. Chast 3, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 229, VINITI RAN, M., 2023, 120–130  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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