OPTIMALITY CONDITIONS OF SINGULAR CONTROLS FOR SYSTEMS WITH CAPUTO FRACTIONAL DERIVATIVES

Shakir Sh Yusubov; Elimhan N. Mahmudov

doi:10.3934/jimo.2021182

OPTIMALITY CONDITIONS OF SINGULAR CONTROLS FOR SYSTEMS WITH CAPUTO FRACTIONAL DERIVATIVES

Shakir Sh Yusubov
, Elimhan N. Mahmudov^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Baku State University
Azerbaijan National Academy of Sciences

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

16 Atıf (Scopus)

Özet

In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equation. The problem is investigated in the case when the Pontryagin maximum principle degenerates, that is, it is satisfied trivially. Then the second order optimality conditions are derived for the considered problem.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	246-264
Sayfa sayısı	19
Dergi	Journal of Industrial and Management Optimization
Hacim	19
Basın numarası	1
DOI'lar	https://doi.org/10.3934/jimo.2021182
Yayın durumu	Yayınlandı - Oca 2023

Bibliyografik not

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

Belgeye Erişim

10.3934/jimo.2021182

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "OPTIMALITY CONDITIONS OF SINGULAR CONTROLS FOR SYSTEMS WITH CAPUTO FRACTIONAL DERIVATIVES",

abstract = "In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equation. The problem is investigated in the case when the Pontryagin maximum principle degenerates, that is, it is satisfied trivially. Then the second order optimality conditions are derived for the considered problem.",

keywords = "Fractional derivative, Optimal control, Pontryagin maximum principle, Representation formula, Second-order necessary condition",

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

year = "2023",

month = jan,

doi = "10.3934/jimo.2021182",

language = "English",

volume = "19",

pages = "246--264",

journal = "Journal of Industrial and Management Optimization",

issn = "1547-5816",

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AU - Yusubov, Shakir Sh

AU - Mahmudov, Elimhan N.

PY - 2023/1

Y1 - 2023/1

N2 - In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equation. The problem is investigated in the case when the Pontryagin maximum principle degenerates, that is, it is satisfied trivially. Then the second order optimality conditions are derived for the considered problem.

AB - In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equation. The problem is investigated in the case when the Pontryagin maximum principle degenerates, that is, it is satisfied trivially. Then the second order optimality conditions are derived for the considered problem.

KW - Fractional derivative

KW - Optimal control

KW - Pontryagin maximum principle

KW - Representation formula

KW - Second-order necessary condition

UR - https://www.scopus.com/pages/publications/85138169686

U2 - 10.3934/jimo.2021182

DO - 10.3934/jimo.2021182

M3 - Article

AN - SCOPUS:85138169686

SN - 1547-5816

VL - 19

SP - 246

EP - 264

JO - Journal of Industrial and Management Optimization

JF - Journal of Industrial and Management Optimization

IS - 1

ER -

OPTIMALITY CONDITIONS OF SINGULAR CONTROLS FOR SYSTEMS WITH CAPUTO FRACTIONAL DERIVATIVES

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap