Convergence properties of the gravitational algorithm in asynchronous robot systems

Reuven Cohen, David Peleg

Research output: Contribution to journalArticlepeer-review

58 Scopus citations

Abstract

This paper considers the convergence problem in autonomous mobile robot systems. A natural algorithm for the problem requires the robots to move towards their center of gravity. This paper proves the correctness of the gravitational algorithm in the fully asynchronous model. It also analyzes its convergence rate and establishes its convergence in the presence of crash faults.

Original languageEnglish
Pages (from-to)1516-1528
Number of pages13
JournalSIAM Journal on Computing
Volume34
Issue number6
DOIs
StatePublished - 2005
Externally publishedYes

Keywords

  • Autonomous mobile robots
  • Convergence
  • Robot swarms

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