Jorge Cortés
Professor
Cymer Corporation Endowed Chair
Heterogeneity of central nodes explains the benefits of time-varying control scheduling in complex dynamical networks
E. Nozari, F. Pasqualetti, J. Cortés
Journal of Complex Networks 7 (5) (2019), 659-701
Abstract
Despite extensive research and remarkable advancements
in the control of complex dynamical networks, most
studies and practical control methods limit their focus
to time-invariant control schedules (TICS). This is both
due to their simplicity and the fact that the benefits
of time-varying control schedules (TVCS) have remained
largely uncharacterized. In this paper we study networks
with linear and discrete-time dynamics and analyze the
role of network structure in TVCS. First, we show that
TVCS can significantly enhance network controllability
over TICS, especially when applied to large
networks. Through the analysis of a scale-dependent
notion of nodal centrality, we then show that optimal
TVCS involves the actuation of the most central nodes at
appropriate spatial scales at all times. Consequently,
it is the scale-heterogeneity of the central-nodes in a
network that determine whether, and to what extent, TVCS
outperforms conventional policies based on TICS. Here,
scale-heterogeneity of a network refers to how diverse
the central nodes of the network are at different
spatial (local vs. global) scales. Several analytical
results and case studies support and illustrate this
relationship.
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
Skype id:
jorgilliyo