On the codimension one motion planning problem

DOI10.1007/s10883-005-0002-6zbMath1079.53049OpenAlexW1969916170MaRDI QIDQ1774537

Vladimir M. Zakalyukin, Jean-Paul Gauthier

Publication date: 17 May 2005

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-005-0002-6

zbMATH Keywords

sub-Riemannian geometrymotion planningrobotics

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Sub-Riemannian geometry (53C17)

Related Items (9)

Entropy estimations for motion planning problems in robotics ⋮ Adiabatic Ensemble Control of a Continuum of Quantum Systems ⋮ On the motion planning problem, complexity, entropy, and nonholonomic interpolation ⋮ Complexity of Control-Affine Motion Planning ⋮ Metric geometry of nonregular weighted Carnot-Carathéodory spaces ⋮ On the conicity of eigenvalues intersections for parameter-dependent self-adjoint operators ⋮ On certain hyperelliptic signals that are natural controls for nonholonomic motion planning ⋮ On the one-step-Bracket-Generating motion planning problem ⋮ BV functions and sets of finite perimeter in sub-Riemannian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasi-contact S-R metrics: Normal form in \(\mathbb{R}^{2n}\), wave front and caustic in \(\mathbb{R}^4\)
• Measures of transverse paths in sub-Riemannian geometry
• Small sub-Riemannian balls on \(\mathbf R^3\)
• Complexity of nonholonomic motion planning
• Sub-Riemannian metrics and isoperimetric problems in the contact case

This page was built for publication: On the codimension one motion planning problem