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.
Original language | English (US) |
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Article number | 160064 |
Journal | Royal Society Open Science |
Volume | 3 |
Issue number | 4 |
DOIs | |
State | Published - Apr 20 2016 |
Keywords
- Complex networks
- Control
- Scaling law
ASJC Scopus subject areas
- General