OPTIMAL CONTROL OF FIRST-ORDER UNDIVIDED INCLUSIONS

E. N. Mahmudov; D. M. Mastaliyeva

OPTIMAL CONTROL OF FIRST-ORDER UNDIVIDED INCLUSIONS

E. N. Mahmudov^*
, D. M. Mastaliyeva

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Azerbaijan National Academy of Sciences

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

The article is devoted to the optimization of first-order evolution inclusions (DFI) with undivided conditions. Optimality conditions are formulated in terms of locally adjoint mappings (LAMs). The construction of \duality relations" is an indispensable approach for the differential inclusions. In this case, the presence of discrete-approximate problems is a bridge between discrete and continuous problems. At the end of the article, as an example, we consider duality in optimization problems with linear discrete and first-order polyhedral DFIs.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1013-1028
Sayfa sayısı	16
Dergi	Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Hacim	13
Basın numarası	3
Yayın durumu	Yayınlandı - 2023

Bibliyografik not

Publisher Copyright:
© Isk University, Department of Mathematics, 2023; all rights reserved.

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "OPTIMAL CONTROL OF FIRST-ORDER UNDIVIDED INCLUSIONS",

abstract = "The article is devoted to the optimization of first-order evolution inclusions (DFI) with undivided conditions. Optimality conditions are formulated in terms of locally adjoint mappings (LAMs). The construction of \textbackslash{}duality relations{"} is an indispensable approach for the differential inclusions. In this case, the presence of discrete-approximate problems is a bridge between discrete and continuous problems. At the end of the article, as an example, we consider duality in optimization problems with linear discrete and first-order polyhedral DFIs.",

keywords = "Endpoint and state constraints, Euler-Lagrange, conjugate, duality, infimal convolution, necessary and sufficient",

author = "Mahmudov, \{E. N.\} and Mastaliyeva, \{D. M.\}",

year = "2023",

language = "English",

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journal = "Turkish World Mathematical Society Journal of Applied and Engineering Mathematics",

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T1 - OPTIMAL CONTROL OF FIRST-ORDER UNDIVIDED INCLUSIONS

AU - Mahmudov, E. N.

AU - Mastaliyeva, D. M.

PY - 2023

Y1 - 2023

N2 - The article is devoted to the optimization of first-order evolution inclusions (DFI) with undivided conditions. Optimality conditions are formulated in terms of locally adjoint mappings (LAMs). The construction of \duality relations" is an indispensable approach for the differential inclusions. In this case, the presence of discrete-approximate problems is a bridge between discrete and continuous problems. At the end of the article, as an example, we consider duality in optimization problems with linear discrete and first-order polyhedral DFIs.

AB - The article is devoted to the optimization of first-order evolution inclusions (DFI) with undivided conditions. Optimality conditions are formulated in terms of locally adjoint mappings (LAMs). The construction of \duality relations" is an indispensable approach for the differential inclusions. In this case, the presence of discrete-approximate problems is a bridge between discrete and continuous problems. At the end of the article, as an example, we consider duality in optimization problems with linear discrete and first-order polyhedral DFIs.

KW - Endpoint and state constraints

KW - Euler-Lagrange

KW - conjugate

KW - duality

KW - infimal convolution

KW - necessary and sufficient

UR - https://www.scopus.com/pages/publications/85165049005

M3 - Article

AN - SCOPUS:85165049005

SN - 2146-1147

VL - 13

SP - 1013

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JO - Turkish World Mathematical Society Journal of Applied and Engineering Mathematics

JF - Turkish World Mathematical Society Journal of Applied and Engineering Mathematics

IS - 3

ER -

OPTIMAL CONTROL OF FIRST-ORDER UNDIVIDED INCLUSIONS

Özet

Bibliyografik not

Diğer Dosyalar ve Linkler

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