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.
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