Energy scaling and reduction in controlling complex networks

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, t...

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Bibliographic Details
Published in:Royal Society open science 2016-04, Vol.3 (4), p.160064-160064
Main Authors: Chen, Yu-Zhong, Wang, Le-Zhi, Wang, Wen-Xu, Lai, Ying-Cheng
Format: Article
Language:English
Subjects:
Complex Networks
Control
Physics
Scaling Law
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Summary: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.
ISSN:2054-5703
2054-5703
DOI:10.1098/rsos.160064