Convergence speed in distributed consensus over dynamically switching random networks

Jing Zhou, Qian Wang

Research output: Contribution to journalArticle

106 Scopus citations

Abstract

Characterizing convergence speed is one of the most important research challenges in the design of distributed consensus algorithms for networked multi-agent systems. In this paper, we consider a group of agents that communicate via a dynamically switching random information network. Each link in the network, which represents the directed/undirected information flow between any ordered/unordered pair of agents, could be subject to failure with a certain probability. Hence we model the information flow using dynamically switching random graphs. We characterize the convergence speed for the distributed discrete-time consensus algorithm over a variety of random networks with arbitrary weights. In particular, we propose the asymptotic and per-step (mean square) convergence factors as measures of the convergence speed and derive the exact value for the per-step (mean square) convergence factor. Numerical examples are also given to illustrate our theoretical results.

Original languageEnglish (US)
Pages (from-to)1455-1461
Number of pages7
JournalAutomatica
Volume45
Issue number6
DOIs
StatePublished - Jun 2009

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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