Sufficient conditions of optimality for free time optimization of third order differential inclusions

Sevilay Demir Saǧlam; Elimhan N. Mahmudov

doi:10.1063/1.5136130

Sufficient conditions of optimality for free time optimization of third order differential inclusions

Sevilay Demir Saǧlam, Elimhan N. Mahmudov

Matematik Bölümü

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

1 Atıf (Scopus)

Özet

The present paper deals with the free time optimization problem described by third order differential inclusions (P_C) with endpoint constraints. In order to construct the optimality conditions for our problem (P_C), we obtain the optimality conditions for the discrete-approximation problem associated with the auxiliary differential problem (P_A) given by third order convex differential inclusions. Formulation of optimality conditions for problem (P_A) plays a substantial role in incorporating the Euler-Lagrange and Hamiltonian type inclusions and moreover by using distinctive t₁-attainability conditions on the initial sets, the sufficient conditions for our main problem (P_C) are established.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	3rd International Conference of Mathematical Sciences, ICMS 2019
Editörler	Huseyin Cakalli, Ljubisa D. R. Kocinac, Robin Harte, Valeria Neves Domingos Cavalcanti, Allaberen Ashyralyev, Izzet Sakalli, Ibrahim Canak, Ozay Gurtug, Marcelo Moreira Cavalcanti, Duran Turkoglu, Mujgan Tez, Hacer Sengul Kandemir, Sahin Uyaver, Kadri Ulas Akay, Ilhan Gul, Temha Erkoc Yilmazturk, Tugba Akyel, Filiz Cagatay Ucgun, Hakan Sahin
Yayınlayan	American Institute of Physics Inc.
ISBN (Elektronik)	9780735419308
DOI'lar	https://doi.org/10.1063/1.5136130
Yayın durumu	Yayınlandı - 6 Ara 2019
Etkinlik	3rd International Conference of Mathematical Sciences, ICMS 2019 - Istanbul, Turkey Süre: 4 Eyl 2019 → 8 Eyl 2019

Yayın serisi

Adı	AIP Conference Proceedings
Hacim	2183
ISSN (Basılı)	0094-243X
ISSN (Elektronik)	1551-7616

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???event.eventtypes.event.conference???	3rd International Conference of Mathematical Sciences, ICMS 2019
Ülke/Bölge	Turkey
Şehir	Istanbul
Periyot	4/09/19 → 8/09/19

Bibliyografik not

Publisher Copyright:
© 2019 Author(s).

Belgeye Erişim

10.1063/1.5136130

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Saǧlam, S. D., & Mahmudov, E. N. (2019). Sufficient conditions of optimality for free time optimization of third order differential inclusions. In H. Cakalli, L. D. R. Kocinac, R. Harte, V. N. D. Cavalcanti, A. Ashyralyev, I. Sakalli, I. Canak, O. Gurtug, M. M. Cavalcanti, D. Turkoglu, M. Tez, H. S. Kandemir, S. Uyaver, K. U. Akay, I. Gul, T. E. Yilmazturk, T. Akyel, F. C. Ucgun, & H. Sahin (Eds.), 3rd International Conference of Mathematical Sciences, ICMS 2019 Makale 040010 (AIP Conference Proceedings; Hac. 2183). American Institute of Physics Inc.. https://doi.org/10.1063/1.5136130

Saǧlam, Sevilay Demir ; Mahmudov, Elimhan N. / Sufficient conditions of optimality for free time optimization of third order differential inclusions. 3rd International Conference of Mathematical Sciences, ICMS 2019. editör / Huseyin Cakalli ; Ljubisa D. R. Kocinac ; Robin Harte ; Valeria Neves Domingos Cavalcanti ; Allaberen Ashyralyev ; Izzet Sakalli ; Ibrahim Canak ; Ozay Gurtug ; Marcelo Moreira Cavalcanti ; Duran Turkoglu ; Mujgan Tez ; Hacer Sengul Kandemir ; Sahin Uyaver ; Kadri Ulas Akay ; Ilhan Gul ; Temha Erkoc Yilmazturk ; Tugba Akyel ; Filiz Cagatay Ucgun ; Hakan Sahin. American Institute of Physics Inc., 2019. (AIP Conference Proceedings).

@inproceedings{e0f79cf617804ec5a72c404f6049343e,

title = "Sufficient conditions of optimality for free time optimization of third order differential inclusions",

abstract = "The present paper deals with the free time optimization problem described by third order differential inclusions (PC) with endpoint constraints. In order to construct the optimality conditions for our problem (PC), we obtain the optimality conditions for the discrete-approximation problem associated with the auxiliary differential problem (PA) given by third order convex differential inclusions. Formulation of optimality conditions for problem (PA) plays a substantial role in incorporating the Euler-Lagrange and Hamiltonian type inclusions and moreover by using distinctive t1-attainability conditions on the initial sets, the sufficient conditions for our main problem (PC) are established.",

keywords = "Differential inclusion, Euler-Lagrange, Free time, Transversality",

author = "Saǧlam, {Sevilay Demir} and Mahmudov, {Elimhan N.}",

note = "Publisher Copyright: {\textcopyright} 2019 Author(s).; 3rd International Conference of Mathematical Sciences, ICMS 2019 ; Conference date: 04-09-2019 Through 08-09-2019",

year = "2019",

month = dec,

day = "6",

doi = "10.1063/1.5136130",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Huseyin Cakalli and Kocinac, {Ljubisa D. R.} and Robin Harte and Cavalcanti, {Valeria Neves Domingos} and Allaberen Ashyralyev and Izzet Sakalli and Ibrahim Canak and Ozay Gurtug and Cavalcanti, {Marcelo Moreira} and Duran Turkoglu and Mujgan Tez and Kandemir, {Hacer Sengul} and Sahin Uyaver and Akay, {Kadri Ulas} and Ilhan Gul and Yilmazturk, {Temha Erkoc} and Tugba Akyel and Ucgun, {Filiz Cagatay} and Hakan Sahin",

booktitle = "3rd International Conference of Mathematical Sciences, ICMS 2019",

}

Saǧlam, SD & Mahmudov, EN 2019, Sufficient conditions of optimality for free time optimization of third order differential inclusions. in H Cakalli, LDR Kocinac, R Harte, VND Cavalcanti, A Ashyralyev, I Sakalli, I Canak, O Gurtug, MM Cavalcanti, D Turkoglu, M Tez, HS Kandemir, S Uyaver, KU Akay, I Gul, TE Yilmazturk, T Akyel, FC Ucgun & H Sahin (eds), 3rd International Conference of Mathematical Sciences, ICMS 2019., 040010, AIP Conference Proceedings, hac. 2183, American Institute of Physics Inc., 3rd International Conference of Mathematical Sciences, ICMS 2019, Istanbul, Turkey, 4/09/19. https://doi.org/10.1063/1.5136130

Sufficient conditions of optimality for free time optimization of third order differential inclusions. / Saǧlam, Sevilay Demir; Mahmudov, Elimhan N.
3rd International Conference of Mathematical Sciences, ICMS 2019. ed. / Huseyin Cakalli; Ljubisa D. R. Kocinac; Robin Harte; Valeria Neves Domingos Cavalcanti; Allaberen Ashyralyev; Izzet Sakalli; Ibrahim Canak; Ozay Gurtug; Marcelo Moreira Cavalcanti; Duran Turkoglu; Mujgan Tez; Hacer Sengul Kandemir; Sahin Uyaver; Kadri Ulas Akay; Ilhan Gul; Temha Erkoc Yilmazturk; Tugba Akyel; Filiz Cagatay Ucgun; Hakan Sahin. American Institute of Physics Inc., 2019. 040010 (AIP Conference Proceedings; Hac. 2183).

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

TY - GEN

T1 - Sufficient conditions of optimality for free time optimization of third order differential inclusions

AU - Saǧlam, Sevilay Demir

AU - Mahmudov, Elimhan N.

PY - 2019/12/6

Y1 - 2019/12/6

N2 - The present paper deals with the free time optimization problem described by third order differential inclusions (PC) with endpoint constraints. In order to construct the optimality conditions for our problem (PC), we obtain the optimality conditions for the discrete-approximation problem associated with the auxiliary differential problem (PA) given by third order convex differential inclusions. Formulation of optimality conditions for problem (PA) plays a substantial role in incorporating the Euler-Lagrange and Hamiltonian type inclusions and moreover by using distinctive t1-attainability conditions on the initial sets, the sufficient conditions for our main problem (PC) are established.

AB - The present paper deals with the free time optimization problem described by third order differential inclusions (PC) with endpoint constraints. In order to construct the optimality conditions for our problem (PC), we obtain the optimality conditions for the discrete-approximation problem associated with the auxiliary differential problem (PA) given by third order convex differential inclusions. Formulation of optimality conditions for problem (PA) plays a substantial role in incorporating the Euler-Lagrange and Hamiltonian type inclusions and moreover by using distinctive t1-attainability conditions on the initial sets, the sufficient conditions for our main problem (PC) are established.

KW - Differential inclusion

KW - Euler-Lagrange

KW - Free time

KW - Transversality

UR - http://www.scopus.com/inward/record.url?scp=85076702473&partnerID=8YFLogxK

U2 - 10.1063/1.5136130

DO - 10.1063/1.5136130

M3 - Conference contribution

AN - SCOPUS:85076702473

T3 - AIP Conference Proceedings

BT - 3rd International Conference of Mathematical Sciences, ICMS 2019

A2 - Cakalli, Huseyin

A2 - Kocinac, Ljubisa D. R.

A2 - Harte, Robin

A2 - Cavalcanti, Valeria Neves Domingos

A2 - Ashyralyev, Allaberen

A2 - Sakalli, Izzet

A2 - Canak, Ibrahim

A2 - Gurtug, Ozay

A2 - Cavalcanti, Marcelo Moreira

A2 - Turkoglu, Duran

A2 - Tez, Mujgan

A2 - Kandemir, Hacer Sengul

A2 - Uyaver, Sahin

A2 - Akay, Kadri Ulas

A2 - Gul, Ilhan

A2 - Yilmazturk, Temha Erkoc

A2 - Akyel, Tugba

A2 - Ucgun, Filiz Cagatay

A2 - Sahin, Hakan

PB - American Institute of Physics Inc.

T2 - 3rd International Conference of Mathematical Sciences, ICMS 2019

Y2 - 4 September 2019 through 8 September 2019

ER -

Saǧlam SD, Mahmudov EN. Sufficient conditions of optimality for free time optimization of third order differential inclusions. In Cakalli H, Kocinac LDR, Harte R, Cavalcanti VND, Ashyralyev A, Sakalli I, Canak I, Gurtug O, Cavalcanti MM, Turkoglu D, Tez M, Kandemir HS, Uyaver S, Akay KU, Gul I, Yilmazturk TE, Akyel T, Ucgun FC, Sahin H, editörler, 3rd International Conference of Mathematical Sciences, ICMS 2019. American Institute of Physics Inc. 2019. 040010. (AIP Conference Proceedings). doi: 10.1063/1.5136130

Sufficient conditions of optimality for free time optimization of third order differential inclusions

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