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SEQUENTIAL COLLISION-FREE OPTIMAL MOTION PLANNING ALGORITHMS IN PUNCTURED EUCLIDEAN SPACES
Published online by Cambridge University Press: 13 March 2020
Abstract
In robotics, a topological theory of motion planning was initiated by M. Farber. We present optimal motion planning algorithms which can be used in designing practical systems controlling objects moving in Euclidean space without collisions between them and avoiding obstacles. Furthermore, we present the multi-tasking version of the algorithms.
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 102 , Issue 3 , December 2020 , pp. 506 - 516
- Copyright
- © 2020 Australian Mathematical Publishing Association Inc.
Footnotes
The first author would like to thank São Paulo Research Foundation (FAPESP), Grant No. 2018/23678-6, for financial support.