Duality in the problems of optimal control described by first-order partial differential inclusions

Elimhan N. Mahmudov

doi:10.1080/02331930802434666

Duality in the problems of optimal control described by first-order partial differential inclusions

Elimhan N. Mahmudov

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

9 Atıf (Scopus)

Özet

On the basis of the apparatus of locally conjugate mappings, a sufficient condition for optimality is derived for the non-convex problem and duality theorems are proved. A sufficient condition for an extremum is an extremal relation for the direct and dual problem.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	589-599
Sayfa sayısı	11
Dergi	Optimization
Hacim	59
Basın numarası	4
DOI'lar	https://doi.org/10.1080/02331930802434666
Yayın durumu	Yayınlandı - May 2010

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10.1080/02331930802434666

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Alıntı Yap

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title = "Duality in the problems of optimal control described by first-order partial differential inclusions",

abstract = "On the basis of the apparatus of locally conjugate mappings, a sufficient condition for optimality is derived for the non-convex problem and duality theorems are proved. A sufficient condition for an extremum is an extremal relation for the direct and dual problem.",

keywords = "Conjugate function duality, Multivalued mapping, Subdifferential",

author = "Mahmudov, \{Elimhan N.\}",

year = "2010",

month = may,

doi = "10.1080/02331930802434666",

language = "English",

volume = "59",

pages = "589--599",

journal = "Optimization",

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TY - JOUR

T1 - Duality in the problems of optimal control described by first-order partial differential inclusions

AU - Mahmudov, Elimhan N.

PY - 2010/5

Y1 - 2010/5

N2 - On the basis of the apparatus of locally conjugate mappings, a sufficient condition for optimality is derived for the non-convex problem and duality theorems are proved. A sufficient condition for an extremum is an extremal relation for the direct and dual problem.

AB - On the basis of the apparatus of locally conjugate mappings, a sufficient condition for optimality is derived for the non-convex problem and duality theorems are proved. A sufficient condition for an extremum is an extremal relation for the direct and dual problem.

KW - Conjugate function duality

KW - Multivalued mapping

KW - Subdifferential

UR - https://www.scopus.com/pages/publications/77952470681

U2 - 10.1080/02331930802434666

DO - 10.1080/02331930802434666

M3 - Article

AN - SCOPUS:77952470681

SN - 0233-1934

VL - 59

SP - 589

EP - 599

JO - Optimization

JF - Optimization

IS - 4

ER -

Duality in the problems of optimal control described by first-order partial differential inclusions

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