NECESSARY AND SUFFICIENT OPTIMALITY CONDITIONS FOR FRACTIONAL FORNASINI-MARCHESINI MODEL

Shakir Sh Yusubov; Elimhan N. Mahmudov

doi:10.3934/jimo.2022260

NECESSARY AND SUFFICIENT OPTIMALITY CONDITIONS FOR FRACTIONAL FORNASINI-MARCHESINI MODEL

Shakir Sh Yusubov
, Elimhan N. Mahmudov^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Baku State University
Institute of Control Systems Ministry of Science and Education Republic of Azerbaijan

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

9 Atıf (Scopus)

Özet

In the paper, we study an optimal control problem connected with a fractional Fornasini-Marchesini model described by partial Caputo derivatives. Using a new version of the increment method, the necessary and sufficient optimality condition is obtained in the form of the Pontryagin maximum principle for the posed fractional optimal control problem. The paper is concluded with illustrating example.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	7221-7244
Sayfa sayısı	24
Dergi	Journal of Industrial and Management Optimization
Hacim	19
Basın numarası	10
DOI'lar	https://doi.org/10.3934/jimo.2022260
Yayın durumu	Yayınlandı - Eki 2023

Bibliyografik not

Publisher Copyright:
© 2023, Journal of Industrial and Management Optimization. All Rights Reserved.

Belgeye Erişim

10.3934/jimo.2022260

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "NECESSARY AND SUFFICIENT OPTIMALITY CONDITIONS FOR FRACTIONAL FORNASINI-MARCHESINI MODEL",

abstract = "In the paper, we study an optimal control problem connected with a fractional Fornasini-Marchesini model described by partial Caputo derivatives. Using a new version of the increment method, the necessary and sufficient optimality condition is obtained in the form of the Pontryagin maximum principle for the posed fractional optimal control problem. The paper is concluded with illustrating example.",

keywords = "Caputo derivative, Fractional optimal control, Pontryagin maximum principle",

author = "Yusubov, \{Shakir Sh\} and Mahmudov, \{Elimhan N.\}",

year = "2023",

month = oct,

doi = "10.3934/jimo.2022260",

language = "English",

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AU - Yusubov, Shakir Sh

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PY - 2023/10

Y1 - 2023/10

N2 - In the paper, we study an optimal control problem connected with a fractional Fornasini-Marchesini model described by partial Caputo derivatives. Using a new version of the increment method, the necessary and sufficient optimality condition is obtained in the form of the Pontryagin maximum principle for the posed fractional optimal control problem. The paper is concluded with illustrating example.

AB - In the paper, we study an optimal control problem connected with a fractional Fornasini-Marchesini model described by partial Caputo derivatives. Using a new version of the increment method, the necessary and sufficient optimality condition is obtained in the form of the Pontryagin maximum principle for the posed fractional optimal control problem. The paper is concluded with illustrating example.

KW - Caputo derivative

KW - Fractional optimal control

KW - Pontryagin maximum principle

UR - https://www.scopus.com/pages/publications/85153769312

U2 - 10.3934/jimo.2022260

DO - 10.3934/jimo.2022260

M3 - Article

AN - SCOPUS:85153769312

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VL - 19

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JO - Journal of Industrial and Management Optimization

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ER -

NECESSARY AND SUFFICIENT OPTIMALITY CONDITIONS FOR FRACTIONAL FORNASINI-MARCHESINI MODEL

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap