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Minimum-cost control of complex networks

New journal of physics, 2016-01, Vol.18 (1), p.13012 [Peer Reviewed Journal]

2016 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft ;2016. This work is published under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;ISSN: 1367-2630 ;EISSN: 1367-2630 ;DOI: 10.1088/1367-2630/18/1/013012 ;CODEN: NJOPFM

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  • Title:
    Minimum-cost control of complex networks
  • Author: Li, Guoqi ; Hu, Wuhua ; Xiao, Gaoxi ; Deng, Lei ; Tang, Pei ; Pei, Jing ; Shi, Luping
  • Subjects: complex networks ; Complexity ; Controllability ; Cost control ; Energy costs ; Minimum cost ; minimum energy cost ; Networks ; Nodes ; Physics ; projected gradient method ; Stability
  • Is Part Of: New journal of physics, 2016-01, Vol.18 (1), p.13012
  • Description: Finding the solution for driving a complex network at the minimum energy cost with a given number of controllers, known as the minimum-cost control problem, is critically important but remains largely open. We propose a projected gradient method to tackle this problem, which works efficiently in both synthetic and real-life networks. The study is then extended to the case where each controller can only be connected to a single network node to have the lowest connection complexity. We obtain the interesting insight that such connections basically avoid high-degree nodes of the network, which is in resonance with recent observations on controllability of complex networks. Our results provide the first technical path to enabling minimum-cost control of complex networks, and contribute new insights to locating the key nodes from a minimum-cost control perspective.
  • Publisher: Bristol: IOP Publishing
  • Language: English
  • Identifier: ISSN: 1367-2630
    EISSN: 1367-2630
    DOI: 10.1088/1367-2630/18/1/013012
    CODEN: NJOPFM
  • Source: IOP Publishing Free Content
    IOPscience (Open Access)
    GFMER Free Medical Journals
    ROAD: Directory of Open Access Scholarly Resources
    ProQuest Central
    DOAJ Directory of Open Access Journals
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