A. A. Ardentov, I. S. Gubanov, Modeling of car parking along Markov–Dubins and Reeds–Shepp paths

Title: Modeling of car parking along Markov–Dubins and Reeds–Shepp paths
Authors: A. A. Ardentov, I. S. Gubanov
Journal title: Program Systems: Theory and Applications
Year: 2019
Issue: 4
Volume: 10
Pages: 97–110
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

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

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