Overview
- Selected as an outstanding contribution by the University of Illinois
- Reports fundamental new results with wide-ranging applications
- Relevant in many disciplines including engineering, computer science, maths and physics
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (8 chapters)
Keywords
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.
Authors and Affiliations
Bibliographic Information
Book Title: Product of Random Stochastic Matrices and Distributed Averaging
Authors: Behrouz Touri
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-642-28003-0
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2012
Hardcover ISBN: 978-3-642-28002-3Published: 14 March 2012
Softcover ISBN: 978-3-642-44465-4Published: 16 April 2014
eBook ISBN: 978-3-642-28003-0Published: 02 March 2012
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XIV, 142
Topics: Control and Systems Theory, Complex Systems, Probability Theory and Stochastic Processes, Probability and Statistics in Computer Science, Statistical Theory and Methods, Statistical Physics and Dynamical Systems