Sufficient conditions of optimality for free time optimization of third order differential inclusions

Sevilay Demir Saǧlam, Elimhan N. Mahmudov

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

1 Citation (Scopus)

Abstract

The present paper deals with the free time optimization problem described by third order differential inclusions (PC) with endpoint constraints. In order to construct the optimality conditions for our problem (PC), we obtain the optimality conditions for the discrete-approximation problem associated with the auxiliary differential problem (PA) given by third order convex differential inclusions. Formulation of optimality conditions for problem (PA) plays a substantial role in incorporating the Euler-Lagrange and Hamiltonian type inclusions and moreover by using distinctive t1-attainability conditions on the initial sets, the sufficient conditions for our main problem (PC) are established.

Original languageEnglish
Title of host publication3rd International Conference of Mathematical Sciences, ICMS 2019
EditorsHuseyin Cakalli, Ljubisa D. R. Kocinac, Robin Harte, Valeria Neves Domingos Cavalcanti, Allaberen Ashyralyev, Izzet Sakalli, Ibrahim Canak, Ozay Gurtug, Marcelo Moreira Cavalcanti, Duran Turkoglu, Mujgan Tez, Hacer Sengul Kandemir, Sahin Uyaver, Kadri Ulas Akay, Ilhan Gul, Temha Erkoc Yilmazturk, Tugba Akyel, Filiz Cagatay Ucgun, Hakan Sahin
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735419308
DOIs
Publication statusPublished - 6 Dec 2019
Event3rd International Conference of Mathematical Sciences, ICMS 2019 - Istanbul, Turkey
Duration: 4 Sept 20198 Sept 2019

Publication series

NameAIP Conference Proceedings
Volume2183
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference3rd International Conference of Mathematical Sciences, ICMS 2019
Country/TerritoryTurkey
CityIstanbul
Period4/09/198/09/19

Bibliographical note

Publisher Copyright:
© 2019 Author(s).

Keywords

  • Differential inclusion
  • Euler-Lagrange
  • Free time
  • Transversality

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