On duality in problems of optimal control described by convex differential inclusions of Goursat-Darboux type

E. N. Mahmudov

doi:10.1016/j.jmaa.2005.01.037

On duality in problems of optimal control described by convex differential inclusions of Goursat-Darboux type

E. N. Mahmudov^*

^*Bu çalışma için yazışmadan sorumlu yazar

Istanbul University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

38 Atıf (Scopus)

Özet

Sufficient conditions of optimality are derived for convex and non-convex problems with state constraints on the basis of the apparatus of locally conjugate mappings. The duality theorem is formulated and the conditions under which the direct and dual problems are connected by the duality relation are searched for.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	628-640
Sayfa sayısı	13
Dergi	Journal of Mathematical Analysis and Applications
Hacim	307
Basın numarası	2
DOI'lar	https://doi.org/10.1016/j.jmaa.2005.01.037
Yayın durumu	Yayınlandı - 15 Tem 2005
Harici olarak yayınlandı	Evet

Belgeye Erişim

10.1016/j.jmaa.2005.01.037

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On duality in problems of optimal control described by convex differential inclusions of Goursat-Darboux type",

abstract = "Sufficient conditions of optimality are derived for convex and non-convex problems with state constraints on the basis of the apparatus of locally conjugate mappings. The duality theorem is formulated and the conditions under which the direct and dual problems are connected by the duality relation are searched for.",

keywords = "Conjugate function, Duality state constraints and duality, Multivalued mappings, Subdifferential",

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

year = "2005",

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doi = "10.1016/j.jmaa.2005.01.037",

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journal = "Journal of Mathematical Analysis and Applications",

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TY - JOUR

T1 - On duality in problems of optimal control described by convex differential inclusions of Goursat-Darboux type

AU - Mahmudov, E. N.

PY - 2005/7/15

Y1 - 2005/7/15

N2 - Sufficient conditions of optimality are derived for convex and non-convex problems with state constraints on the basis of the apparatus of locally conjugate mappings. The duality theorem is formulated and the conditions under which the direct and dual problems are connected by the duality relation are searched for.

AB - Sufficient conditions of optimality are derived for convex and non-convex problems with state constraints on the basis of the apparatus of locally conjugate mappings. The duality theorem is formulated and the conditions under which the direct and dual problems are connected by the duality relation are searched for.

KW - Conjugate function

KW - Duality state constraints and duality

KW - Multivalued mappings

KW - Subdifferential

UR - https://www.scopus.com/pages/publications/18944401187

U2 - 10.1016/j.jmaa.2005.01.037

DO - 10.1016/j.jmaa.2005.01.037

M3 - Article

AN - SCOPUS:18944401187

SN - 0022-247X

VL - 307

SP - 628

EP - 640

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

On duality in problems of optimal control described by convex differential inclusions of Goursat-Darboux type

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap