Optimal Control of Elliptic Type Polyhedral Inclusions

Elimhan N. Mahmudov; Dilara I. Mastaliyeva

doi:10.1109/PCI60110.2023.10325954

Optimal Control of Elliptic Type Polyhedral Inclusions

Elimhan N. Mahmudov, Dilara I. Mastaliyeva^*

^*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: ???type-name??? › Konferans katkısı › bilirkişi

Özet

The article considers an optimal control problem described by partial differential inclusions. At the same time, the problem with a polyhedral discrete inclusion is studied in detail. Using the Farkas theorem, locally adjoint mappings are calculated and necessary and sufficient conditions of optimality for polyhedral elliptic discrete inclusions are proved. After that, with the help of the polyhedral elliptic discretization method for the discrete-approximate problem, necessary and sufficient optimality conditions are formulated in the Euler-Lagrange form of the adjoint polyhedral inclusion. In addition, linear discrete-approximate and continuous optimal control problems of elliptic type are also considered. Using the polyhedral nature of the problem, optimality conditions for a polyhedral differential inclusion (DFI) are proved. An example is given to demonstrate the proposed approach.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023
Yayınlayan	Institute of Electrical and Electronics Engineers Inc.
ISBN (Elektronik)	9798350319064
DOI'lar	https://doi.org/10.1109/PCI60110.2023.10325954
Yayın durumu	Yayınlandı - 2023
Harici olarak yayınlandı	Evet
Etkinlik	5th International Conference on Problems of Cybernetics and Informatics, PCI 2023 - Baku, Azerbaijan Süre: 28 Ağu 2023 → 30 Ağu 2023

Yayın serisi

Adı	2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023

???event.eventtypes.event.conference???

???event.eventtypes.event.conference???	5th International Conference on Problems of Cybernetics and Informatics, PCI 2023
Ülke/Bölge	Azerbaijan
Şehir	Baku
Periyot	28/08/23 → 30/08/23

Bibliyografik not

Publisher Copyright:
© 2023 IEEE.

Belgeye Erişim

10.1109/PCI60110.2023.10325954

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Mahmudov, E. N., & Mastaliyeva, D. I. (2023). Optimal Control of Elliptic Type Polyhedral Inclusions. In 2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023 (2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/PCI60110.2023.10325954

@inproceedings{fc171ad0fc1a49fe856a5d363ed7aa67,

title = "Optimal Control of Elliptic Type Polyhedral Inclusions",

abstract = "The article considers an optimal control problem described by partial differential inclusions. At the same time, the problem with a polyhedral discrete inclusion is studied in detail. Using the Farkas theorem, locally adjoint mappings are calculated and necessary and sufficient conditions of optimality for polyhedral elliptic discrete inclusions are proved. After that, with the help of the polyhedral elliptic discretization method for the discrete-approximate problem, necessary and sufficient optimality conditions are formulated in the Euler-Lagrange form of the adjoint polyhedral inclusion. In addition, linear discrete-approximate and continuous optimal control problems of elliptic type are also considered. Using the polyhedral nature of the problem, optimality conditions for a polyhedral differential inclusion (DFI) are proved. An example is given to demonstrate the proposed approach.",

keywords = "approximate, elliptic differential inclusions, Euler-Lagrange, necessary and sufficient, polyhedral",

author = "Mahmudov, {Elimhan N.} and Mastaliyeva, {Dilara I.}",

note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023 ; Conference date: 28-08-2023 Through 30-08-2023",

year = "2023",

doi = "10.1109/PCI60110.2023.10325954",

language = "English",

series = "2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023",

address = "United States",

}

Mahmudov, EN & Mastaliyeva, DI 2023, Optimal Control of Elliptic Type Polyhedral Inclusions. in 2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023. 2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023, Institute of Electrical and Electronics Engineers Inc., 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023, Baku, Azerbaijan, 28/08/23. https://doi.org/10.1109/PCI60110.2023.10325954

Optimal Control of Elliptic Type Polyhedral Inclusions. / Mahmudov, Elimhan N.; Mastaliyeva, Dilara I.
2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023. Institute of Electrical and Electronics Engineers Inc., 2023. (2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023).

Araştırma sonucu: ???type-name??? › Konferans katkısı › bilirkişi

TY - GEN

T1 - Optimal Control of Elliptic Type Polyhedral Inclusions

AU - Mahmudov, Elimhan N.

AU - Mastaliyeva, Dilara I.

PY - 2023

Y1 - 2023

N2 - The article considers an optimal control problem described by partial differential inclusions. At the same time, the problem with a polyhedral discrete inclusion is studied in detail. Using the Farkas theorem, locally adjoint mappings are calculated and necessary and sufficient conditions of optimality for polyhedral elliptic discrete inclusions are proved. After that, with the help of the polyhedral elliptic discretization method for the discrete-approximate problem, necessary and sufficient optimality conditions are formulated in the Euler-Lagrange form of the adjoint polyhedral inclusion. In addition, linear discrete-approximate and continuous optimal control problems of elliptic type are also considered. Using the polyhedral nature of the problem, optimality conditions for a polyhedral differential inclusion (DFI) are proved. An example is given to demonstrate the proposed approach.

AB - The article considers an optimal control problem described by partial differential inclusions. At the same time, the problem with a polyhedral discrete inclusion is studied in detail. Using the Farkas theorem, locally adjoint mappings are calculated and necessary and sufficient conditions of optimality for polyhedral elliptic discrete inclusions are proved. After that, with the help of the polyhedral elliptic discretization method for the discrete-approximate problem, necessary and sufficient optimality conditions are formulated in the Euler-Lagrange form of the adjoint polyhedral inclusion. In addition, linear discrete-approximate and continuous optimal control problems of elliptic type are also considered. Using the polyhedral nature of the problem, optimality conditions for a polyhedral differential inclusion (DFI) are proved. An example is given to demonstrate the proposed approach.

KW - approximate

KW - elliptic differential inclusions

KW - Euler-Lagrange

KW - necessary and sufficient

KW - polyhedral

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U2 - 10.1109/PCI60110.2023.10325954

DO - 10.1109/PCI60110.2023.10325954

M3 - Conference contribution

AN - SCOPUS:85179889662

T3 - 2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023

BT - 2023 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 5th International Conference on Problems of Cybernetics and Informatics, PCI 2023

Y2 - 28 August 2023 through 30 August 2023

ER -

Optimal Control of Elliptic Type Polyhedral Inclusions

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