Plane Motion of a Particle Subject to Curvature Constraints

A particle $P$ moves in the plane with constant speed and subject to an upper bound on the curvature of its path. This paper studies the classes of trajectories by which $P$ can reach a given point in a given direction and obtains, for all $t$, the set $R(t)$ of all possible positions for $P$ at tim...

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Bibliographic Details
Published inSIAM journal on control Vol. 13; no. 1; pp. 197 - 220
Main Authors Cockayne, E. J., Hall, G. W. C.
Format Journal Article
LanguageEnglish
Published Philadelphia Society for Industrial and Applied Mathematics 01.01.1975
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ISSN0036-1402
0363-0129
1095-7138
DOI10.1137/0313012

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Summary:A particle $P$ moves in the plane with constant speed and subject to an upper bound on the curvature of its path. This paper studies the classes of trajectories by which $P$ can reach a given point in a given direction and obtains, for all $t$, the set $R(t)$ of all possible positions for $P$ at time $t$, thus extending the results of several recent authors.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
content type line 14
ISSN:0036-1402
0363-0129
1095-7138
DOI:10.1137/0313012