Jorge Cortés
Professor
Cymer Corporation Endowed Chair
Gramian-based characterization of network vulnerability
to nodal impulse inputs
P. V. Chanekar, B. K. Poolla, J. Cortés
IEEE Control Systems Letters, submitted
Abstract
Impulsive inputs applied at influential nodes of a
network system may result in undesirable behavior
and degrade performance. This paper proposes the
notion of vulnerability matrix (VM) to characterize
the effect of impulse inputs on a network following
either discrete- or continuous-time dynamics. The VM
describes the first-order effects of impulse inputs
on edge flows and is based on the controllability
Gramian. We provide explicit expressions for the
entries of the vulnerability matrix for the class of
directed line networks in terms of the edge
weights. Simulations validate our results and
highlight the utility of the proposed metric in
capturing the transient effects of nodal impulse
inputs on edge flows.
pdf
Mechanical and Aerospace Engineering,
University of California, San Diego
9500 Gilman Dr,
La Jolla, California, 92093-0411
Ph: 1-858-822-7930
Fax: 1-858-822-3107
cortes at ucsd.edu
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jorgilliyo