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Controllability of complex networks via pinning
Francesco Sorrentino1, Mario di Bernardo, Franco Garofalo
1University of Naples Federico II, Naples 80125, Italy. fsorrent@unina.it
Summary
We developed a pinning control strategy to synchronize complex networks. Pinning controllability is defined by network spectral properties, with analysis of control gains and the number of pinned nodes.
Area of Science:
- Network science
- Control theory
- Systems engineering
Background:
- Complex networks are ubiquitous in nature and technology.
- Achieving synchronized behavior in networks is crucial for many applications.
- Controlling network dynamics often requires targeted interventions.
Purpose of the Study:
- To introduce and define pinning controllability for general complex networks.
- To analyze the spectral properties determining network controllability.
- To investigate the influence of control parameters on synchronization.
Main Methods:
- Definition of pinning controllability based on extended network topology.
- Analysis of spectral properties (eigenvalues, eigenvectors) of the network.
- Systematic variation of control gains and the number of pinned nodes.
Main Results:
- A precise mathematical definition of pinning controllability is established.
- Spectral properties are shown to be key indicators of controllability.
- The number of pinned nodes and control gains significantly impact synchronization.
Conclusions:
- Pinning control offers an effective strategy for synchronizing complex networks.
- Network spectral properties provide a robust framework for assessing controllability.
- Optimizing control gains and the number of pinned nodes is essential for efficient network control.
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