The Duality of Convex Optimization Problem for Differential Inclusions

Sevilay Demir Sağlam*, Elimhan N. Mahmudov

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The purpose of this paper is to investigate the duality for optimal control problems with higher-order differential inclusions. Using locally adjoint mappings and the discretization method, we derive the conditions of optimality for a boundary-value problem with higher-order differential inclusions. This method connects a duality relation problem to a continuous concerning problem. Then, thanks to the dual operations of addition and infimal convolution of convex functions, we obtain duality results. In general, the construction of the duality problem with the assistance of discrete and discrete approximation problems necessitates a significant amount of effort to comprehend the computational aspects. Finally, we show that the optimal solutions to the primal convex and dual concave problems are the same.

Original languageEnglish
Title of host publication5th International Conference of Mathematical Sciences, ICMS 2021
EditorsHuseyin Cakalli, Ljubisa D. R. Kocinac, Allaberen Ashyralyev, Robin Harte, Mehmet Dik, Ibrahim Canak, Hacer Sengul Kandemir, Mujgan Tez, Ozay Gurtug, Ekrem Savas, Nazlim Deniz Aral, Filiz Cagatay Ucgan, Onder Sahinaslan, Charyyar Ashyralyyev, Sefa Anil Sezer, Arap Duran Turkoglu, Oruc Raif Onvural, Hakan Sahin
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735442580
DOIs
Publication statusPublished - 7 Nov 2022
Event5th International Conference of Mathematical Sciences, ICMS 2021 - Istanbul, Turkey
Duration: 23 Jun 202127 Jun 2021

Publication series

NameAIP Conference Proceedings
Volume2483
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference5th International Conference of Mathematical Sciences, ICMS 2021
Country/TerritoryTurkey
CityIstanbul
Period23/06/2127/06/21

Bibliographical note

Publisher Copyright:
© 2022 American Institute of Physics Inc.. All rights reserved.

Keywords

  • Boundary-value Problem
  • Duality
  • Locally adjoint mappings
  • Transversality

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