Energy scaling and reduction in controlling complex networks.

Abstract:

:Recent works revealed that the energy required to control a complex network depends on the number of driving signals and the energy distribution follows an algebraic scaling law. If one implements control using a small number of drivers, e.g. as determined by the structural controllability theory, there is a high probability that the energy will diverge. We develop a physical theory to explain the scaling behaviour through identification of the fundamental structural elements, the longest control chains (LCCs), that dominate the control energy. Based on the LCCs, we articulate a strategy to drastically reduce the control energy (e.g. in a large number of real-world networks). Owing to their structural nature, the LCCs may shed light on energy issues associated with control of nonlinear dynamical networks.

journal_name

R Soc Open Sci

authors

Chen YZ,Wang LZ,Wang WX,Lai YC

doi

10.1098/rsos.160064

subject

Has Abstract

pub_date

2016-04-20 00:00:00

pages

160064

issue

4

issn

2054-5703

pii

rsos160064

journal_volume

3

pub_type

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