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 language | English |
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Title of host publication | 3rd International Conference of Mathematical Sciences, ICMS 2019 |
Editors | Huseyin 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 |
Publisher | American Institute of Physics Inc. |
ISBN (Electronic) | 9780735419308 |
DOIs | |
Publication status | Published - 6 Dec 2019 |
Event | 3rd International Conference of Mathematical Sciences, ICMS 2019 - Istanbul, Turkey Duration: 4 Sept 2019 → 8 Sept 2019 |
Publication series
Name | AIP Conference Proceedings |
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Volume | 2183 |
ISSN (Print) | 0094-243X |
ISSN (Electronic) | 1551-7616 |
Conference
Conference | 3rd International Conference of Mathematical Sciences, ICMS 2019 |
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Country/Territory | Turkey |
City | Istanbul |
Period | 4/09/19 → 8/09/19 |
Bibliographical note
Publisher Copyright:© 2019 Author(s).
Keywords
- Differential inclusion
- Euler-Lagrange
- Free time
- Transversality