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E-book
Author Touri, Behrouz

Title Product of random stochastic matrices and distributed averaging / Behrouz Touri
Published Berlin ; New York : Springer, ©2012

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Description 1 online resource (xiii, 142 pages)
Series Springer theses, 2190-5053
Springer theses.
Contents Introduction -- Products of Stochastic Matrices and Averaging Dynamics -- Ergodicity of Random Chains -- Infinite Flow Stability -- Implications -- Absolute Infinite Flow Property -- Averaging Dynamics in General State Spaces -- Conclusion and Suggestions for Future Works -- Appendices
Summary 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, iselegant 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
Analysis Engineering
Computer science
Distribution (Probability theory)
Mathematical statistics
Control
Statistical Physics, Dynamical Systems and Complexity
Probability Theory and Stochastic Processes
Probability and Statistics in Computer Science
Statistical Theory and Methods
Notes Ph. D. University of Illinois at Urbana-Champaign, IL
Bibliography Includes bibliographical references
Notes English
Subject Stochastic matrices.
Averaging method (Differential equations)
System analysis.
Nonlinear systems.
Systems Analysis
systems analysis.
MATHEMATICS -- Applied.
MATHEMATICS -- Probability & Statistics -- General.
Ingénierie.
Averaging method (Differential equations)
Nonlinear systems
Stochastic matrices
System analysis
Genre/Form dissertations.
Academic theses
Academic theses.
Thèses et écrits académiques.
Form Electronic book
LC no. 2012930909
ISBN 9783642280030
364228003X