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

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	589-599
Number of pages	11
Journal	Optimization
Volume	59
Issue number	4
DOIs	https://doi.org/10.1080/02331930802434666
Publication status	Published - May 2010

Keywords

Conjugate function duality
Multivalued mapping
Subdifferential

Access to Document

10.1080/02331930802434666

Cite this

@article{51781f81074448d29c8c234c1939abec,

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",

issn = "0233-1934",

publisher = "Taylor and Francis Ltd.",

number = "4",

}

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this