Almost sure averagingwith relative-state-dependent measurement noises and linear noise intensity functions

  • Tao Li*
  • , Fuke Wu
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

In this paper, we consider the distributed averaging of high-dimensional first-order agents with relative-state-dependent measurement noises. Each agent can measure or receive its neighbors' state information with random noises, whose intensity is a linear vector-valued function of agents' relative states. Differently from the case with non-state-dependent measurement noises, we show that a negative control gain, though can not ensure mean square consensus, may ensure almost sure consensus. This tells us that the relative-state-dependent measurement noises will sometimes be helpful for the almost sure consensus of the network. For symmetric measurement models, the almost sure convergence rate is estimated by the Iterated Logarithm Law of Brownian motions.

Original languageEnglish
Title of host publicationProceedings of the 33rd Chinese Control Conference, CCC 2014
EditorsShengyuan Xu, Qianchuan Zhao
PublisherIEEE Computer Society
Pages1242-1246
Number of pages5
ISBN (Electronic)9789881563842
DOIs
StatePublished - 11 Sep 2014
Externally publishedYes
EventProceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China
Duration: 28 Jul 201430 Jul 2014

Publication series

NameProceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

ConferenceProceedings of the 33rd Chinese Control Conference, CCC 2014
Country/TerritoryChina
CityNanjing
Period28/07/1430/07/14

Keywords

  • Consensus
  • Distributed Averaging
  • Measurement Noise
  • Multi-Agent System

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