Train Bi-Control Problem on Riemannian Setting

This article refers to the optimization of the energy consumption of guided traction rails, such as those used for electric trains (including subway electric units), railcars, locomotives, and trams, in a Riemannian framework. The proposed optimization strategy takes into account the compliance time...

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Autores principales:	Gabriel Popa, Constantin Udriste, Ionel Tevy
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	optimal control involving ODEs train optimal bi-control adjoint variables speed profile Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/307b57ad806e4840864a00ad7e21d914
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id	oai:doaj.org-article:307b57ad806e4840864a00ad7e21d914
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spelling	oai:doaj.org-article:307b57ad806e4840864a00ad7e21d9142021-11-25T18:16:58ZTrain Bi-Control Problem on Riemannian Setting10.3390/math92228982227-7390https://doaj.org/article/307b57ad806e4840864a00ad7e21d9142021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2898https://doaj.org/toc/2227-7390This article refers to the optimization of the energy consumption of guided traction rails, such as those used for electric trains (including subway electric units), railcars, locomotives, and trams, in a Riemannian framework. The proposed optimization strategy takes into account the compliance time drive and aims at improving the transport system for given operation conditions. Our study has five targets: (1) improving the optimal control techniques; (2) establishing a strategy for the operating conditions of the vehicle; (3) formulating and solving additional problems of optimal movement; (4) improving automatic systems for vehicle traction to optimize energy consumption in a Riemannian context; (5) formulating and solving a problem of maximizing the profit of the train. Some significant figures and formulas obtained by Maple procedures clarify the problems.Gabriel PopaConstantin UdristeIonel TevyMDPI AGarticleoptimal control involving ODEstrain optimal bi-controladjoint variablesspeed profileMathematicsQA1-939ENMathematics, Vol 9, Iss 2898, p 2898 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	optimal control involving ODEs train optimal bi-control adjoint variables speed profile Mathematics QA1-939
spellingShingle	optimal control involving ODEs train optimal bi-control adjoint variables speed profile Mathematics QA1-939 Gabriel Popa Constantin Udriste Ionel Tevy Train Bi-Control Problem on Riemannian Setting
description	This article refers to the optimization of the energy consumption of guided traction rails, such as those used for electric trains (including subway electric units), railcars, locomotives, and trams, in a Riemannian framework. The proposed optimization strategy takes into account the compliance time drive and aims at improving the transport system for given operation conditions. Our study has five targets: (1) improving the optimal control techniques; (2) establishing a strategy for the operating conditions of the vehicle; (3) formulating and solving additional problems of optimal movement; (4) improving automatic systems for vehicle traction to optimize energy consumption in a Riemannian context; (5) formulating and solving a problem of maximizing the profit of the train. Some significant figures and formulas obtained by Maple procedures clarify the problems.
format	article
author	Gabriel Popa Constantin Udriste Ionel Tevy
author_facet	Gabriel Popa Constantin Udriste Ionel Tevy
author_sort	Gabriel Popa
title	Train Bi-Control Problem on Riemannian Setting
title_short	Train Bi-Control Problem on Riemannian Setting
title_full	Train Bi-Control Problem on Riemannian Setting
title_fullStr	Train Bi-Control Problem on Riemannian Setting
title_full_unstemmed	Train Bi-Control Problem on Riemannian Setting
title_sort	train bi-control problem on riemannian setting
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/307b57ad806e4840864a00ad7e21d914
work_keys_str_mv	AT gabrielpopa trainbicontrolproblemonriemanniansetting AT constantinudriste trainbicontrolproblemonriemanniansetting AT ioneltevy trainbicontrolproblemonriemanniansetting
_version_	1718411371857575936

Train Bi-Control Problem on Riemannian Setting

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