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Structural permeability of complex networks to control signals
Francesco Lo Iudice1,2, Franco Garofalo1, Francesco Sorrentino2
1Department of Electrical Engineering and Information Technology, University of Naples Federico II, 80125 Naples, Italy.
Nature Communications
|September 23, 2015
Summary
This study introduces network permeability, a new metric to quantify how easily complex networks can be controlled. It provides a framework for maximizing control signal diffusion under real-world constraints.
Area of Science:
- Complex systems science
- Network theory
- Control theory
Background:
- Complex networks (biological, social, technological) are ubiquitous.
- Understanding network control is crucial for system management.
- Existing approaches lack a comprehensive framework for network controllability.
Purpose of the Study:
- To develop a unified framework for assessing network controllability.
- To introduce a novel metric, network permeability, for quantifying control propensity.
- To analyze network structure in relation to control requirements.
Main Methods:
- Developing a framework to maximize control signal diffusion.
- Incorporating physical and economic constraints into control strategies.
- Defining and calculating network permeability for various networks.
Main Results:
- Introduction of network permeability as a unified controllability metric.
- Demonstration of the framework's ability to handle real-world constraints.
- Identification of structural features influencing network controllability.
Conclusions:
- Network permeability offers a quantitative understanding of network control.
- The framework provides insights into optimizing control strategies for complex systems.
- Structural analysis deepens the understanding of controllability in diverse networks.
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