Convex analysis methods are used for the construction of distance function between closed (unbounded in common case) sets of Euclidean space. It is shown that the distance satisfies all properties of metric. It is proved that this distance is invariant under motion of the sets in space. This metric space is proved to be complete.
Author Biographies
Pavel Dmitrievich Lebedev, Institute of Mathematics and Mechanics of the Russian Academy of Sciences (Ural branch)
Cand. Sc. (Physics and Mathematics), Department of Dynamic Systems
Vladimir Nikolaevich Ushakov, Institute of Mathematics and Mechanics of the Russian Academy of Sciences (Ural branch)
Dr. Sc. (Physics and Mathematics), Department of Dynamic Systems
