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Discrete Networked Dynamic Systems - Analysis and Performance (Paperback)
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Discrete Networked Dynamic Systems - Analysis and Performance (Paperback)
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Discrete Networked Dynamic Systems: Analysis and Performance
provides a high-level treatment of a general class of linear
discrete-time dynamic systems interconnected over an information
network, exchanging relative state measurements or output
measurements. It presents a systematic analysis of the material and
provides an account to the math development in a unified way. The
topics in this book are structured along four dimensions: Agent,
Environment, Interaction, and Organization, while keeping global
(system-centered) and local (agent-centered) viewpoints. The focus
is on the wide-sense consensus problem in discrete networked
dynamic systems. The authors rely heavily on algebraic graph theory
and topology to derive their results. It is known that graphs play
an important role in the analysis of interactions between
multiagent/distributed systems. Graph-theoretic analysis provides
insight into how topological interactions play a role in achieving
coordination among agents. Numerous types of graphs exist in the
literature, depending on the edge set of G. A simple graph has no
self-loop or edges. Complete graphs are simple graphs with an edge
connecting any pair of vertices. The vertex set in a bipartite
graph can be partitioned into disjoint non-empty vertex sets,
whereby there is an edge connecting every vertex in one set to
every vertex in the other set. Random graphs have fixed vertex
sets, but the edge set exhibits stochastic behavior modeled by
probability functions. Much of the studies in coordination control
are based on deterministic/fixed graphs, switching graphs, and
random graphs.
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