Pinning control of directed dynamical networks based on ControlRank

  • Authors:
  • You You Lu;Xiao Fan Wang

  • Affiliations:
  • Department of Automation, Shanghai Jiaotong University, Shanghai, People's Republic of China;Department of Automation, Shanghai Jiaotong University, Shanghai, People's Republic of China

  • Venue:
  • International Journal of Computer Mathematics - COMPLEX NETWORKS
  • Year:
  • 2008

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Abstract

By applying local feedback injections to a small fraction of network vertices, a dynamical network can be stabilized on a homogeneous equilibrium. However, different pinning strategies may lead to different performances. This paper develops a novel pinning scheme based on ControlRank (CR), which is a vertex centrality index exploring the link structure of the directed networks. Simulation study is given on a scale-free directed dynamical network, which demonstrates that it is much more effective to pin the vertex with largest CR than pin the vertex with largest out-degree.