Optimal synthesis in the Reeds and Shepp problem with onesided variation of velocity

DOI10.1007/S10957-013-0286-8zbMath1275.49032OpenAlexW1983956799MaRDI QIDQ378276

I. A. Samylovskii, Andrei V. Dmitruk

Publication date: 11 November 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-013-0286-8

zbMATH Keywords

Pontryagin's maximum principleextremalsoptimal synthesistime-optimal problemreachability sets

Mathematics Subject Classification ID

Synthesis problems (93B50) Attainable sets, reachability (93B03) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

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• Optimal synthesis in the Reeds and Shepp problem with a free final direction
• From Dubins' car to Reeds and Shepp's mobile robot
• Optimal-control approach to trajectory planning for a class of mobile robotic manipulations
• Shortest paths of bounded curvature in the plane
• Non-Euclidean Dubins' problem
• Optimal paths for a car that goes both forwards and backwards
• On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents
• Shortest paths synthesis for a car-like robot

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