Pinning-controllability of complex networks
Francesco Sorrentino, Mario di Bernardo, Franco Garofalo, Guanrong, Chen

TL;DR
This paper investigates how to control complex networks to achieve synchronized behavior using pinning control, analyzing the spectral properties that determine controllability and the effects of control parameters.
Contribution
It introduces the concept of pinning-controllability based on spectral properties and discusses how control gains and pinned nodes influence network control.
Findings
Spectral properties determine pinning-controllability.
Control and coupling gains affect control effectiveness.
Number of pinned nodes influences synchronization success.
Abstract
We study the problem of controlling a general complex network towards an assigned synchronous evolution, by means of a pinning control strategy. We define the pinning-controllability of the network in terms of the spectral properties of an extended network topology. The roles of the control and coupling gains as well as of the number of pinned nodes are also discussed.
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