Optimization of the Hausdorff distance between sets in Euclidean space

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)
Original languageEnglish
Pages (from-to)222-238
Number of pages17
JournalProceedings of the Steklov Institute of Mathematics
Volume291
DOIs
Publication statusPublished - 1 Dec 2015

Fingerprint

Hausdorff Distance
Euclidean space
Optimization
Polytopes
Solvability
Reachable Set
Differential Games
Approximation Problem
Deviation
Chebyshev Center
Positional Games
Nonsmooth Analysis
Parallelepiped
Convex Analysis
Optimal Control Theory
Ellipsoid
Minimum Distance
Game Theory
Control Theory
Estimate

Keywords

  • Hausdorff distance
  • polygon
  • best n-net
  • disk cover
  • SYSTEMS
  • CIRCLES

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

WoS ResearchAreas Categories

  • Mathematics
  • Mathematics, Applied

GRNTI

  • 27.00.00 MATHEMATICS

Level of Research Output

  • VAK List

Cite this

@article{daecbb57abbc4fd0a296f3d713485063,
title = "Optimization of the Hausdorff distance between sets in Euclidean space",
keywords = "Hausdorff distance, polygon, best n-net, disk cover, SYSTEMS, CIRCLES",
author = "Ushakov, {V. N.} and Lakhtin, {A. S.} and Lebedev, {P. D.}",
year = "2015",
month = "12",
day = "1",
doi = "10.1134/S0081543815090151",
language = "English",
volume = "291",
pages = "222--238",
journal = "Proceedings of the Steklov Institute of Mathematics",
issn = "0081-5438",
publisher = "Maik Nauka-Interperiodica Publishing",

}

Optimization of the Hausdorff distance between sets in Euclidean space. / Ushakov, V. N.; Lakhtin, A. S.; Lebedev, P. D.

In: Proceedings of the Steklov Institute of Mathematics, Vol. 291, 01.12.2015, p. 222-238.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Optimization of the Hausdorff distance between sets in Euclidean space

AU - Ushakov, V. N.

AU - Lakhtin, A. S.

AU - Lebedev, P. D.

PY - 2015/12/1

Y1 - 2015/12/1

KW - Hausdorff distance

KW - polygon

KW - best n-net

KW - disk cover

KW - SYSTEMS

KW - CIRCLES

UR - http://www.scopus.com/inward/record.url?scp=84949505730&partnerID=8YFLogxK

UR - http://elibrary.ru/item.asp?id=26922823

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000366347200015

U2 - 10.1134/S0081543815090151

DO - 10.1134/S0081543815090151

M3 - Article

VL - 291

SP - 222

EP - 238

JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

SN - 0081-5438

ER -