Extremal controls for the Duits car

DOI10.1007/978-3-030-80209-7_9zbMath1485.93122OpenAlexW3182659300MaRDI QIDQ2117828

Alexey P. Mashtakov

Publication date: 22 March 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-80209-7_9

zbMATH Keywords

geometric controlsub-RiemannianReeds-Shepp car

Mathematics Subject Classification ID

Geometric methods (93B27) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (1)

Extremal trajectories in a time-optimal problem on the group of motions of a plane with admissible control in a circular sector

Cites Work

• Unnamed Item
• A cortical based model of perceptual completion in the roto-translation space
• Optimal paths for variants of the 2D and 3D Reeds-Shepp car with applications in image analysis
• Control theory from the geometric viewpoint.
• Optimal paths for a car that goes both forwards and backwards
• Explicit solutions for a series of optimization problems with 2-dimensional control via convex trigonometry
• Association fields via cuspless sub-Riemannian geodesics in SE(2)
• A PDE Approach to Data-Driven Sub-Riemannian Geodesics in $SE$(2)
• Parallel Algorithm and Software for Image Inpainting via Sub-Riemannian Minimizers on the Group of Rototranslations
• Poisson Structures
• Anisotropic Fast-Marching on Cartesian Grids Using Lattice Basis Reduction
• Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane
• On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents

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