Preprint
Inserted: 23 apr 2008
Year: 2008
Abstract:
In 1955, Martin Kneser showed that the Minkowski content of a compact $p$-rectifiable subset $M$ of $R^n$ is equal to its $p$-Hausdorff measure. We extend his result to the reachable sets of a linear control system $$ \dot{x}= f(x) \> u, $$ and we give an interpretation in terms of Riemannian distance.
Keywords: Minkowski content, tubes, reachable sets
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