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

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10.1080/02331930802434666

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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.",

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KW - Conjugate function duality

KW - Multivalued mapping

KW - Subdifferential

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

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Keywords

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