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Pinning control of scale-free dynamical networks

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  • Wang, Xiao Fan
  • Chen, Guanrong

Abstract

Recently, it has been demonstrated that many large complex networks display a scale-free feature, that is, their connectivity distributions have the power-law form. In the present work, control of a scale-free dynamical network by applying local feedback injections to a fraction of network nodes is investigated. The specifically and randomly pinning schemes are considered. The specifically pinning of the most highly connected nodes is shown to require a significantly smaller number of local controllers as compared to the randomly pinning scheme. The method is applied to an array of Chua's oscillators as an example.

Suggested Citation

  • Wang, Xiao Fan & Chen, Guanrong, 2002. "Pinning control of scale-free dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(3), pages 521-531.
    • Handle: RePEc:eee:phsmap:v:310:y:2002:i:3:p:521-531
    DOI: 10.1016/S0378-4371(02)00772-0
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    Keywords

    Networks; Control; Stability; Scaling;
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