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814Driver Nodes

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  • John Maloney
    May 16 11:31 AM
      Controllability of complex networks (Yang-Yu Liu, Jean-Jacques Slotine, &
      Albert-László Barabási)

      The ultimate proof of our understanding of natural or technological systems
      is reflected in our ability to control them. Although control theory offers
      mathematical tools for steering engineered and natural systems towards a
      desired state, a framework to control complex self-organized systems is
      lacking. Here we develop analytical tools to study the controllability of an
      arbitrary complex directed network, identifying the set of driver nodes with
      time-dependent control that can guide the system’s entire dynamics. We apply
      these tools to several real networks, finding that the number of driver
      nodes is determined mainly by the network’s degree distribution. We show
      that sparse inhomogeneous networks, which emerge in many real complex
      systems, are the most difficult to control, but that dense and homogeneous
      networks can be controlled using a few driver nodes. Counterintuitively, we
      find that in both model and real systems the driver nodes tend to avoid the
      high-degree nodes.


      John Maloney
      The Future of Networks
      Mail: http://1id.com/=jheuristic
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