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Motion planning algorithms, topological properties and affine approximation - MaRDI portal

Motion planning algorithms, topological properties and affine approximation (Q1653943)

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scientific article; zbMATH DE number 6914249
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Motion planning algorithms, topological properties and affine approximation
scientific article; zbMATH DE number 6914249

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    Motion planning algorithms, topological properties and affine approximation (English)
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    7 August 2018
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    Summary: The topological study of the so-called ``motion planning algorithms'' emerged in the 2003--2004 with the works of M. Farber. We focus here on the topological study of the set of these algorithms, when the configuration space is a normed vector space. We especially show that any motion planning algorithm in a compact sub-configuration space can be approximated by some piecewise affine ones.
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    motion planning algorithms
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    topological robotics
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    approximation
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    regular spaces
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