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Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Jan;91(1):012826. Epub 2015 Jan 30.

Structurally robust control of complex networks.

Author information

1
Department of Information Science, Faculty of Science, Toho University, Miyama 2-2-1, Funabashi, Chiba 274-8510, Japan.
2
Bioinformatics Center, Institute for Chemical Research, Kyoto University, Uji, 611-0011, Japan.

Abstract

Robust control theory has been successfully applied to numerous real-world problems using a small set of devices called controllers. However, the real systems represented by networks contain unreliable components and modern robust control engineering has not addressed the problem of structural changes on complex networks including scale-free topologies. Here, we introduce the concept of structurally robust control of complex networks and provide a concrete example using an algorithmic framework that is widely applied in engineering. The developed analytical tools, computer simulations, and real network analyses lead herein to the discovery that robust control can be achieved in scale-free networks with exactly the same order of controllers required in a standard nonrobust configuration by adjusting only the minimum degree. The presented methodology also addresses the probabilistic failure of links in real systems, such as neural synaptic unreliability in Caenorhabditis elegans, and suggests a new direction to pursue in studies of complex networks in which control theory has a role.

PMID:
25679675
DOI:
10.1103/PhysRevE.91.012826
[Indexed for MEDLINE]

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