Newton's Method for Global Free Flight Trajectory Optimization
Globally optimal free flight trajectory optimization can be achieved with a combination of discrete and continuous optimization. A key requirement is that Newton's method for continuous optimization converges in a sufficiently large neighborhood around a minimizer. We show in this paper that, u...
Gespeichert in:
Hauptverfasser: | , , |
---|---|
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | |
---|---|
container_issue | |
container_start_page | |
container_title | |
container_volume | |
creator | Borndörfer, Ralf Danecker, Fabian Weiser, Martin |
description | Globally optimal free flight trajectory optimization can be achieved with a
combination of discrete and continuous optimization. A key requirement is that
Newton's method for continuous optimization converges in a sufficiently large
neighborhood around a minimizer. We show in this paper that, under certain
assumptions, this is the case. |
doi_str_mv | 10.48550/arxiv.2302.04748 |
format | Article |
fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2302_04748</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2302_04748</sourcerecordid><originalsourceid>FETCH-LOGICAL-a678-ac1d98f4230f60594b2f768dd5062c399a228df7ba892b0bcd383ee5680a57673</originalsourceid><addsrcrecordid>eNotzz1PwzAUhWEvDKjwA5jwxpTg-vN6QUIVKUiFLtmj69imRmlduRZQfj1QmM72Hj2EXM1ZK0EpdovlM723XDDeMmkknJO7l_BR8-7mQJ9D3WRPYy50OWWHE-1KCLSb0uum0r7gWxhrLke63te0TV9YU95dkLOI0yFc_u-M9N1Dv3hsVuvl0-J-1aA20OA49xai_DmOmikrHY9Gg_eKaT4Ka5Fz8NE4BMsdc6MXIEJQGhgqo42Ykeu_7Akw7EvaYjkOv5DhBBHfI5VCdg</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Newton's Method for Global Free Flight Trajectory Optimization</title><source>arXiv.org</source><creator>Borndörfer, Ralf ; Danecker, Fabian ; Weiser, Martin</creator><creatorcontrib>Borndörfer, Ralf ; Danecker, Fabian ; Weiser, Martin</creatorcontrib><description>Globally optimal free flight trajectory optimization can be achieved with a
combination of discrete and continuous optimization. A key requirement is that
Newton's method for continuous optimization converges in a sufficiently large
neighborhood around a minimizer. We show in this paper that, under certain
assumptions, this is the case.</description><identifier>DOI: 10.48550/arxiv.2302.04748</identifier><language>eng</language><subject>Mathematics - Classical Analysis and ODEs ; Mathematics - Functional Analysis ; Mathematics - Optimization and Control</subject><creationdate>2023-02</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2302.04748$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2302.04748$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Borndörfer, Ralf</creatorcontrib><creatorcontrib>Danecker, Fabian</creatorcontrib><creatorcontrib>Weiser, Martin</creatorcontrib><title>Newton's Method for Global Free Flight Trajectory Optimization</title><description>Globally optimal free flight trajectory optimization can be achieved with a
combination of discrete and continuous optimization. A key requirement is that
Newton's method for continuous optimization converges in a sufficiently large
neighborhood around a minimizer. We show in this paper that, under certain
assumptions, this is the case.</description><subject>Mathematics - Classical Analysis and ODEs</subject><subject>Mathematics - Functional Analysis</subject><subject>Mathematics - Optimization and Control</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzz1PwzAUhWEvDKjwA5jwxpTg-vN6QUIVKUiFLtmj69imRmlduRZQfj1QmM72Hj2EXM1ZK0EpdovlM723XDDeMmkknJO7l_BR8-7mQJ9D3WRPYy50OWWHE-1KCLSb0uum0r7gWxhrLke63te0TV9YU95dkLOI0yFc_u-M9N1Dv3hsVuvl0-J-1aA20OA49xai_DmOmikrHY9Gg_eKaT4Ka5Fz8NE4BMsdc6MXIEJQGhgqo42Ykeu_7Akw7EvaYjkOv5DhBBHfI5VCdg</recordid><startdate>20230209</startdate><enddate>20230209</enddate><creator>Borndörfer, Ralf</creator><creator>Danecker, Fabian</creator><creator>Weiser, Martin</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20230209</creationdate><title>Newton's Method for Global Free Flight Trajectory Optimization</title><author>Borndörfer, Ralf ; Danecker, Fabian ; Weiser, Martin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a678-ac1d98f4230f60594b2f768dd5062c399a228df7ba892b0bcd383ee5680a57673</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics - Classical Analysis and ODEs</topic><topic>Mathematics - Functional Analysis</topic><topic>Mathematics - Optimization and Control</topic><toplevel>online_resources</toplevel><creatorcontrib>Borndörfer, Ralf</creatorcontrib><creatorcontrib>Danecker, Fabian</creatorcontrib><creatorcontrib>Weiser, Martin</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Borndörfer, Ralf</au><au>Danecker, Fabian</au><au>Weiser, Martin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Newton's Method for Global Free Flight Trajectory Optimization</atitle><date>2023-02-09</date><risdate>2023</risdate><abstract>Globally optimal free flight trajectory optimization can be achieved with a
combination of discrete and continuous optimization. A key requirement is that
Newton's method for continuous optimization converges in a sufficiently large
neighborhood around a minimizer. We show in this paper that, under certain
assumptions, this is the case.</abstract><doi>10.48550/arxiv.2302.04748</doi><oa>free_for_read</oa></addata></record> |
fulltext | fulltext_linktorsrc |
identifier | DOI: 10.48550/arxiv.2302.04748 |
ispartof | |
issn | |
language | eng |
recordid | cdi_arxiv_primary_2302_04748 |
source | arXiv.org |
subjects | Mathematics - Classical Analysis and ODEs Mathematics - Functional Analysis Mathematics - Optimization and Control |
title | Newton's Method for Global Free Flight Trajectory Optimization |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-30T16%3A43%3A03IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Newton's%20Method%20for%20Global%20Free%20Flight%20Trajectory%20Optimization&rft.au=Bornd%C3%B6rfer,%20Ralf&rft.date=2023-02-09&rft_id=info:doi/10.48550/arxiv.2302.04748&rft_dat=%3Carxiv_GOX%3E2302_04748%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |