Optimization of the Hyperbolic Type Differential Inclusions Described by Polyhedral Set Valued Mappings

Gulseren Cicek; Elimhan N. Mahmudov

doi:10.1109/PCI60110.2023.10326021

Optimization of the Hyperbolic Type Differential Inclusions Described by Polyhedral Set Valued Mappings

Gulseren Cicek^*, Elimhan N. Mahmudov

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

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

Özet

In this paper, sufficient conditions for the optimal problem regarding polyhedral hyperbolic differentials are obtained. Necessary and sufficient conditions for the polyhedral hyperbolic discrete problem are derived using the polyhedral nature of the problem. By the discretization method of hyperbolic DFIs, the optimality conditions for the polyhedral discrete approximate problem are formulated in the form of the Mahmudov adjoint inclusions. We establish sufficient optimality conditions for the polyhedral DFIs of hyperbolic type. To the best of our knowledge, these results are new in the literature and use the discretization method when creating the optimality conditions for polyhedral hyperbolic DFIs. This method differs from formerly used methods because of its polyhedral structure.

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/PCI60110.2023.10326021
Yayın durumu	Yayınlandı - 2023
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/PCI60110.2023.10326021

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Cicek, G., & Mahmudov, E. N. (2023). Optimization of the Hyperbolic Type Differential Inclusions Described by Polyhedral Set Valued Mappings. 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/PCI60110.2023.10326021

Cicek, Gulseren ; Mahmudov, Elimhan N. / Optimization of the Hyperbolic Type Differential Inclusions Described by Polyhedral Set Valued Mappings. 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).

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title = "Optimization of the Hyperbolic Type Differential Inclusions Described by Polyhedral Set Valued Mappings",

abstract = "In this paper, sufficient conditions for the optimal problem regarding polyhedral hyperbolic differentials are obtained. Necessary and sufficient conditions for the polyhedral hyperbolic discrete problem are derived using the polyhedral nature of the problem. By the discretization method of hyperbolic DFIs, the optimality conditions for the polyhedral discrete approximate problem are formulated in the form of the Mahmudov adjoint inclusions. We establish sufficient optimality conditions for the polyhedral DFIs of hyperbolic type. To the best of our knowledge, these results are new in the literature and use the discretization method when creating the optimality conditions for polyhedral hyperbolic DFIs. This method differs from formerly used methods because of its polyhedral structure.",

keywords = "discrete-approximation, hyperbolic differential inclusions, Laplace operator, optimality conditions, plyhedral",

author = "Gulseren Cicek and Mahmudov, {Elimhan N.}",

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/PCI60110.2023.10326021",

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",

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}

Cicek, G & Mahmudov, EN 2023, Optimization of the Hyperbolic Type Differential Inclusions Described by Polyhedral Set Valued Mappings. 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/PCI60110.2023.10326021

Optimization of the Hyperbolic Type Differential Inclusions Described by Polyhedral Set Valued Mappings. / Cicek, Gulseren; Mahmudov, Elimhan N.
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 - Optimization of the Hyperbolic Type Differential Inclusions Described by Polyhedral Set Valued Mappings

AU - Cicek, Gulseren

AU - Mahmudov, Elimhan N.

PY - 2023

Y1 - 2023

N2 - In this paper, sufficient conditions for the optimal problem regarding polyhedral hyperbolic differentials are obtained. Necessary and sufficient conditions for the polyhedral hyperbolic discrete problem are derived using the polyhedral nature of the problem. By the discretization method of hyperbolic DFIs, the optimality conditions for the polyhedral discrete approximate problem are formulated in the form of the Mahmudov adjoint inclusions. We establish sufficient optimality conditions for the polyhedral DFIs of hyperbolic type. To the best of our knowledge, these results are new in the literature and use the discretization method when creating the optimality conditions for polyhedral hyperbolic DFIs. This method differs from formerly used methods because of its polyhedral structure.

AB - In this paper, sufficient conditions for the optimal problem regarding polyhedral hyperbolic differentials are obtained. Necessary and sufficient conditions for the polyhedral hyperbolic discrete problem are derived using the polyhedral nature of the problem. By the discretization method of hyperbolic DFIs, the optimality conditions for the polyhedral discrete approximate problem are formulated in the form of the Mahmudov adjoint inclusions. We establish sufficient optimality conditions for the polyhedral DFIs of hyperbolic type. To the best of our knowledge, these results are new in the literature and use the discretization method when creating the optimality conditions for polyhedral hyperbolic DFIs. This method differs from formerly used methods because of its polyhedral structure.

KW - discrete-approximation

KW - hyperbolic differential inclusions

KW - Laplace operator

KW - optimality conditions

KW - plyhedral

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U2 - 10.1109/PCI60110.2023.10326021

DO - 10.1109/PCI60110.2023.10326021

M3 - Conference contribution

AN - SCOPUS:85179888532

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

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ER -

Cicek G, Mahmudov EN. Optimization of the Hyperbolic Type Differential Inclusions Described by Polyhedral Set Valued Mappings. In 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). doi: 10.1109/PCI60110.2023.10326021

Optimization of the Hyperbolic Type Differential Inclusions Described by Polyhedral Set Valued Mappings

Özet

Yayın serisi

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Bibliyografik not

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Diğer Dosyalar ve Linkler

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