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Program Systems: Theory and Applications, 2019, Volume 10, Issue 4, Pages 97–110
DOI: https://doi.org/10.25209/2079-3316-2019-10-4-97-110 (Mi ps352) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Optimization Methods and Control Theory

Modeling of car parking along Markov–Dubins and Reeds–Shepp paths

A. A. Ardentov, I. S. Gubanov

Ailamazyan Program Systems Institute of Russian Academy of Sciences
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DOI: https://doi.org/10.25209/2079-3316-2019-10-4-97-110
Abstract: We examine three classical model problems to describe optimal car parking: the Markov problem, the Dubins problem, the Reeds–Shepp problem. We investigate the kinematic laws for the trailer when the car is moving along the examined optimal paths. An interface is developed as Mathematica software. It constructs the desired optimal paths and the animation of the car (with a trailer) movement.
Key words and phrases: optimal control, time-minimizating problem, Wolfram Mathematica, kinematic.
Funding agency Grant number
Russian Science Foundation 17-11-01387
This research was performed under Financial support from Russian Science Foundation (Project No. 17-11-01387) in Ailamazyan Program Systems Institute of Russian Academy of Sciences.
Received: 03.12.2019
Accepted: 11.12.2019
Document Type: Article
UDC: 004.94:519.711.2
BBC: В161.83:В192.23
MSC: Primary 49J21; Secondary 97P50, 70B15
Language: Russian
Citation: A. A. Ardentov, I. S. Gubanov, “Modeling of car parking along Markov–Dubins and Reeds–Shepp paths”, Program Systems: Theory and Applications, 10:4 (2019), 97–110
Citation in format AMSBIB
\Bibitem{ArdGub19}
\by A.~A.~Ardentov, I.~S.~Gubanov
\paper Modeling of car parking along Markov--Dubins and Reeds--Shepp paths
\jour Program Systems: Theory and Applications
\yr 2019
\vol 10
\issue 4
\pages 97--110
\mathnet{http://mi.mathnet.ru/ps352}
\crossref{https://doi.org/10.25209/2079-3316-2019-10-4-97-110}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Program Systems: Theory and Applications
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