Product of Random Stochastic Matrices and Distributed Averaging

  • Behrouz┬áTouri

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Behrouz Touri
    Pages 1-14
  3. Behrouz Touri
    Pages 23-34
  4. Behrouz Touri
    Pages 35-63
  5. Behrouz Touri
    Pages 65-92
  6. Behrouz Touri
    Pages 93-112
  7. Behrouz Touri
    Pages 113-126
  8. Behrouz Touri
    Pages 127-130
  9. Back Matter
    Pages 131-142

About this book


The thesis deals with averaging dynamics in a multiagent networked system, which is a main mechanism for diffusing the information over such networks. It arises in a wide range of applications in engineered physical networks (such as mobile communication and sensor networks), as well as social and economic networks. The thesis provides in depth study of  stability and other phenomena characterizing the limiting behavior of both deterministic and random averaging dynamics. By developing new concepts, and using the tools from dynamic system theory and non-negative matrix theory, several novel fundamental results are rigorously developed. These contribute significantly to our understanding of averaging dynamics as well as to non-negative random matrix theory. The exposition, although highly rigorous and technical, is elegant and insightful, and accompanied with numerous illustrative examples, which makes this thesis work easily accessible to those just entering this field and will also be much appreciated by experts in the field.


Averaging in General State Spaces Consensus in Multiagent Systems Distributed Averaging Ergodicity and Averaging Dynamics Opinion Dynamics Product of Random Stochastic Matrices

Authors and affiliations

  • Behrouz┬áTouri
    • 1
  1. Urbana-Champaign, Department of Aerospace EngineeringUniversity of IllinoisUrbanaUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-28002-3
  • Online ISBN 978-3-642-28003-0
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site
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