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Shooting Method for Finding Cost Optimal Trajectory. / Аббасов, Меджид Эльхан оглы; Шарлай, Артем Сергеевич.

2023 5th International Conference on Problems of Cybernetics and Informatics (PCI), Baku, Azerbaijan, 2023. Institute of Electrical and Electronics Engineers Inc., 2023.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Аббасов, МЭО & Шарлай, АС 2023, Shooting Method for Finding Cost Optimal Trajectory. in 2023 5th International Conference on Problems of Cybernetics and Informatics (PCI), Baku, Azerbaijan, 2023. Institute of Electrical and Electronics Engineers Inc., 5th International Conference on Problems of Cybernetics and Informatics (PCI 2023), Баку, 28/08/23. https://doi.org/10.1109/pci60110.2023.10325965

APA

Аббасов, М. Э. О., & Шарлай, А. С. (2023). Shooting Method for Finding Cost Optimal Trajectory. In 2023 5th International Conference on Problems of Cybernetics and Informatics (PCI), Baku, Azerbaijan, 2023 Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/pci60110.2023.10325965

Vancouver

Аббасов МЭО, Шарлай АС. Shooting Method for Finding Cost Optimal Trajectory. In 2023 5th International Conference on Problems of Cybernetics and Informatics (PCI), Baku, Azerbaijan, 2023. Institute of Electrical and Electronics Engineers Inc. 2023 https://doi.org/10.1109/pci60110.2023.10325965

Author

Аббасов, Меджид Эльхан оглы ; Шарлай, Артем Сергеевич. / Shooting Method for Finding Cost Optimal Trajectory. 2023 5th International Conference on Problems of Cybernetics and Informatics (PCI), Baku, Azerbaijan, 2023. Institute of Electrical and Electronics Engineers Inc., 2023.

BibTeX

@inproceedings{e5f4301829334376ac64aac753400824,
title = "Shooting Method for Finding Cost Optimal Trajectory",
abstract = "We consider the problem of finding a trajectory of the road which is optimal in the sense of construction cost. Variational ideas lead us to the integral cost functional which should be minimized. The necessary optimality condition for the functional has a form of an integro-differential equation. The main goal of the paper is the numerical solution of this equation. We use linearization and shooting method to reduce the boundary value problem to an initial value one. The initial value problem is solved via FDM. Numerical examples are presented.",
keywords = "integro-differential equation, linearization, mathematical modelling, optimal trajectory, shooting method",
author = "Аббасов, {Меджид Эльхан оглы} and Шарлай, {Артем Сергеевич}",
year = "2023",
month = aug,
day = "28",
doi = "10.1109/pci60110.2023.10325965",
language = "English",
isbn = "9798350319064",
booktitle = "2023 5th International Conference on Problems of Cybernetics and Informatics (PCI), Baku, Azerbaijan, 2023",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "null ; Conference date: 28-08-2023 Through 30-09-2023",
url = "https://pci.cyber.az/index.html",

}

RIS

TY - GEN

T1 - Shooting Method for Finding Cost Optimal Trajectory

AU - Аббасов, Меджид Эльхан оглы

AU - Шарлай, Артем Сергеевич

PY - 2023/8/28

Y1 - 2023/8/28

N2 - We consider the problem of finding a trajectory of the road which is optimal in the sense of construction cost. Variational ideas lead us to the integral cost functional which should be minimized. The necessary optimality condition for the functional has a form of an integro-differential equation. The main goal of the paper is the numerical solution of this equation. We use linearization and shooting method to reduce the boundary value problem to an initial value one. The initial value problem is solved via FDM. Numerical examples are presented.

AB - We consider the problem of finding a trajectory of the road which is optimal in the sense of construction cost. Variational ideas lead us to the integral cost functional which should be minimized. The necessary optimality condition for the functional has a form of an integro-differential equation. The main goal of the paper is the numerical solution of this equation. We use linearization and shooting method to reduce the boundary value problem to an initial value one. The initial value problem is solved via FDM. Numerical examples are presented.

KW - integro-differential equation

KW - linearization

KW - mathematical modelling

KW - optimal trajectory

KW - shooting method

UR - https://ieeexplore.ieee.org/document/10325965

UR - https://www.mendeley.com/catalogue/186b3dc9-ce23-361c-b8a5-0ea1f4b06b2b/

U2 - 10.1109/pci60110.2023.10325965

DO - 10.1109/pci60110.2023.10325965

M3 - Conference contribution

SN - 9798350319064

BT - 2023 5th International Conference on Problems of Cybernetics and Informatics (PCI), Baku, Azerbaijan, 2023

PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 28 August 2023 through 30 September 2023

ER -

ID: 114444699