Topological complexity of collision free motion planning algorithms in the presence of multiple moving obstacles

Details Topological complexity of collision free motion planning algorithms in the presence of multiple moving obstacles Topological complexity of collision free motion planning algorithms in the presence of multiple moving obstacles

2006-09-17

arxiv.org/abs/math/0609476v1

Mathematics

Optimization and Control

Scientific paper

We study motion planning algorithms for collision free control of multiple
objects in the presence of moving obstacles. We compute the topological
complexity of algorithms solving this problem. We apply topological tools and
use information about cohomology algebras of configuration spaces. The results
of the paper may potentially be used in systems of automatic traffic control.

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