SEQUENTIAL COLLISION-FREE OPTIMAL MOTION PLANNING ALGORITHMS IN PUNCTURED EUCLIDEAN SPACES

DOI10.1017/S0004972720000167zbMath1454.55017arXiv1912.04741WikidataQ114117703 ScholiaQ114117703MaRDI QIDQ5138965

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Publication date: 4 December 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04741

zbMATH Keywords

configuration spacesroboticstopological complexityhigher motion planning algorithmspunctured Euclidean spaces

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Homotopy equivalences in algebraic topology (55P10) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Artificial intelligence for robotics (68T40)

Cites Work

• Higher topological complexity and its symmetrization
• Lectures on algebraic topology.
• Topological complexity of motion planning
• On higher analogs of topological complexity
• Sequential motion planning of non-colliding particles in Euclidean spaces
• CONFIGURATION SPACES AND ROBOT MOTION PLANNING ALGORITHMS
• Multitasking collision-free optimal motion planning algorithms in Euclidean spaces
• Planning Algorithms
• Configuration Spaces.

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