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Dubins’ problem on surfaces. I. nonnegative curvature

https://doi.org/10.1007/bf02922245
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-9923-3openalex-snapshot
A Course in Differential Geometry
inferredcites →https://doi.org/10.1007/bf02564570openalex-snapshot
On subharmonic functions and differential geometry in the large
inferredcites →https://doi.org/10.1051/cocv:1998100openalex-snapshot
Dubins' problem is intrinsically three-dimensional
inferredcites →https://doi.org/10.1090/mmono/149openalex-snapshot
Riemannian Geometry
inferredcites →https://doi.org/10.1090/s0002-9947-1988-0961611-7openalex-snapshot
Volumes of Small Balls on Open Manifolds: Lower Bounds and Examples
inferredcites →https://doi.org/10.1109/cdc.1995.478997openalex-snapshot
Shortest 3-dimensional paths with a prescribed curvature bound
inferredcites →https://doi.org/10.1137/0308042openalex-snapshot
Contrôlabilité des Systèmes non Linéaires
inferredcites →https://doi.org/10.1137/0312001openalex-snapshot
Controllability of Nonlinear Systems on Compact Manifolds
inferredcites →https://doi.org/10.1137/0312005openalex-snapshot
A Generalization of Chow’s Theorem and the Bang-Bang Theorem to Nonlinear Control Problems
inferredcites →https://doi.org/10.1137/040619739openalex-snapshot
Dubins' Problem on Surfaces II: Nonpositive Curvature
inferredcites →https://doi.org/10.1137/s0363012904441532openalex-snapshot
Time-Optimal Synthesis for Left-Invariant Control Systems on SO (3)
inferredcites →https://doi.org/10.1201/9781315136370openalex-snapshot
A Mathematical Introduction to Robotic Manipulation
inferredcites →https://doi.org/10.2307/2372560openalex-snapshot
On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents
inferredcites →https://doi.org/10.3934/cpaa.2002.1.285openalex-snapshot
On the minimum time problem for driftless left-invariant control systems on SO(3)
inferredcites →https://doi.org/10.4310/jdg/1214455292openalex-snapshot
Proof of the soul conjecture of Cheeger and Gromoll

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/s10589-017-9923-8openalex-snapshot
Markov–Dubins path via optimal control theory
inferred← citeshttps://doi.org/10.1007/s10883-013-9180-9openalex-snapshot
Optimal synthesis in the Reeds and Shepp problem with a free final direction
inferred← citeshttps://doi.org/10.1007/s10883-014-9222-yopenalex-snapshot
Lyapunov and Minimum-Time Path Planning for Drones
inferred← citeshttps://doi.org/10.1007/s10957-011-9841-3openalex-snapshot
Optimal Synthesis of the Asymmetric Sinistral/Dextral Markov–Dubins Problem
inferred← citeshttps://doi.org/10.1007/s10957-012-0128-0openalex-snapshot
Optimal Synthesis of the Zermelo–Markov–Dubins Problem in a Constant Drift Field
inferred← citeshttps://doi.org/10.1007/s10957-023-02206-3openalex-snapshot
Optimal Geodesic Curvature Constrained Dubins’ Paths on a Sphere
inferred← citeshttps://doi.org/10.1051/cocv:2008075openalex-snapshot
Projective Reeds-Shepp car onS2with quadratic cost
inferred← citeshttps://doi.org/10.1109/cdc.2005.1582361openalex-snapshot
Controllability of the Dubins problem on surfaces
inferred← citeshttps://doi.org/10.1109/cdc.2005.1583501openalex-snapshot
Mechanical systems and rendez-vous controllability
inferred← citeshttps://doi.org/10.1109/tase.2015.2503283openalex-snapshot
Kinematic Analysis and Motion Control of Wheeled Mobile Robots in Cylindrical Workspaces
inferred← citeshttps://doi.org/10.1137/040619739openalex-snapshot
Dubins' Problem on Surfaces II: Nonpositive Curvature
inferred← citeshttps://doi.org/10.1137/19m1307743openalex-snapshot
Extension of PID Regulators to Dynamical Systems on Smooth Manifolds (M-PID)
inferred← citeshttps://doi.org/10.4310/cag.2018.v26.n4.a1openalex-snapshot
A Geometric approach to shortest bounded curvature paths
inferred← citeshttps://doi.org/10.48550/arxiv.1403.4911openalex-snapshot
Non-uniqueness of the homotopy class of bounded curvature paths
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