A Sieve Method for Consensus-type Network Tomography
In this note, we examine the problem of identifying the interaction geometry among a known number of agents, adopting a consensus-type algorithm for their coordination. The proposed identification process is facilitated by introducing "ports" for stimulating a subset of network vertices vi...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
02.11.2011
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Subjects | |
Online Access | Get full text |
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Summary: | In this note, we examine the problem of identifying the interaction geometry
among a known number of agents, adopting a consensus-type algorithm for their
coordination. The proposed identification process is facilitated by introducing
"ports" for stimulating a subset of network vertices via an appropriately
defined interface and observing the network's response at another set of
vertices. It is first noted that under the assumption of controllability and
observability of corresponding steered-and-observed network, the proposed
procedure identifies a number of important features of the network using the
spectrum of the graph Laplacian. We then proceed to use degree-based graph
reconstruction methods to propose a sieve method for further characterization
of the underlying network. An example demonstrates the application of the
proposed method. |
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DOI: | 10.48550/arxiv.1111.0683 |