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 ecomic networks. The thesis provides in depth study of stability and other phemena characterizing the limiting behavior of both deterministic and random averaging dynamics. By developing new concepts, and using the tools from dynamic system theory and n-negative matrix theory, several vel fundamental results are rigorously developed. These contribute significantly to our understanding of averaging dynamics as well as to n-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.
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
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Library & Information Science
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Springer-Verlag Berlin and Heidelberg GmbH & Co. K