Shortest Paths of Bounded Curvature for the Dubins Interval Problem

@article{Manyam2015ShortestPO,
  title={Shortest Paths of Bounded Curvature for the Dubins Interval Problem},
  author={Satyanarayana G. Manyam and Sivakumar Rathinam and David W. Casbeer and Eloy Garc{\'i}a},
  journal={CoRR},
  year={2015},
  volume={abs/1507.06980}
}
The Dubins interval problem aims to find the shortest path of bounded curvature between two targets such that the departure angle from the first target and the arrival angle at the second target are constrained to two respective intervals. We propose a new and a simple algorithm to this problem based on the minimum principle of Pontryagin. 
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The mathematical theory of optimal processes

  • L. S. Pontryagin, V. G. Boltianski, R. V. Gamkrelidze, E. F. Mishchenko, D. E. Brown
  • London, Paris, 1964, a Pergamon Press book…
  • 1964
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