Optimal Synthesis in the Reeds and Shepp Problem with Onesided Variation of Velocity

A. V. Dmitruk () and I. A. Samylovskiy ()
Additional contact information
A. V. Dmitruk: Central Economics and Mathematics Institute of the Russian Academy of Sciences
I. A. Samylovskiy: Lomonosov Moscow State University

Journal of Optimization Theory and Applications, 2013, vol. 158, issue 3, No 12, 874-887

Abstract: Abstract We consider a time-optimal problem for the Reeds and Shepp model describing a moving point on a plane, with a onesided variation of the speed and a free final direction of the velocity. Using the Pontryagin Maximum Principle, we obtain all possible types of extremal and, analyzing them and discarding nonoptimal ones, construct the optimal synthesis.

Keywords: Time-optimal problem; Pontryagin Maximum Principle; Extremals; Reachability sets; Optimal synthesis (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-013-0286-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:158:y:2013:i:3:d:10.1007_s10957-013-0286-8

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-013-0286-8

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().